I was a B+ student in Math in High School until I hit ‘New Math’. I had a lot of turmoil going on at home so there was no help there. I tried going through counselors at school, hoping to find some tutoring. Somehow there was no real guidance (counselor didn’t do anything, said she couldn’t help) and the ball was dropped. Finally, once again I turned to my teacher and though he was aware of my efforts he told me to drop the class. It was SO demoralizing and facing no other sources of support… I did just that. (I couldn’t find a way forward so I considered myself incapable). At nearly 72 my inability to understand math has been my lifelong frustration. I have always been interested in career fields that required math and found I could never begin to consider them. I THANK YOU for your efforts on this channel I am a new GRATEFUL follower!!
I am 72 and can totally relate to the NEW Math they threw at us in the 7th grade! My parents didnt understand it and frankly did not bother trying to help me on ANYTHING related to school. Neither did my teacher. Her attitude was get it on your own or flunk. I made it thru but it left me not liking math. Then in college ad I progressed through calculus and the prof had the same attitude it was distressing. I was told by my elementary functions math prof that I solved problems with "brute force and ignorance ". But I arrived at the correct answers. Now at my leisure I love these math classes and find I'm quite good at it because theres no pressure and I'm doing it because I live it. I haven't missed an answer here yet. Thanks for these videos!!! From a retired family medicine practitioner of 50 years
@@donlute3444 I hated math, Yes, but my edge to learn and protect people was all encompassing. I trained and served as an EMT, a Paramedic, a Physician, a Police Officer, a soldier, and an instructor in aviation, scuba diving and other useful endeavors all to add to my “Rescue” skills. Math was a void in my education relying on my basic knowledge and others to bridge my skill set. As I grew older only my pride, technology and lack of enthusiastic teachers/professors held me back. My interest never wained. John is one of few that I’ve encountered. Now I have the time and interest to fill that gap. Thank God that there is people like John that still exist or otherwise people like me would not know the “secrets” to learn what was previously unavailable to me/them. Thank You, John!
75+ years ago I was learning basic maths. No PEDMAS for us but 10/ 10x10x10 easily became 10/1000 or 1/100. I have managed to be right in 8/8 of your questions so far. Has basic maths become more difficult or has trying to make it easier for children backfired? I will still continue to check I have not become too dumb in my old age
The biggest problem with modern arithmetic teaching is that it's all cart before horse. Children are supposedly going to learn the "whys" of math questions, before learning how to get the problems solved correctly. This is especially obvious if you've seen Common Core curriculum materials. People are even given full scores on math assignments, even if they come up with the wrong answer entirely. Of course the natural consequence of rewarding poor math results is to get more bad results. Hence my calling it "cart before horse." My Grandmother was absolutely insistent that I (and all her grandkids) learned my arithmetic tables at a very young age. I may not have understood the full logic behind it, but I could get the right answer. Weirdly, knowing the answer actually made it easier to grasp the rationale behind the answer, making mathematics one of my best subjects in school, always scoring in the 98th percentile or so in standardized tests.
Schools these days are busy trying to indoctrinate your children, like teaching them gender theories, equalities, & all that woke crap, instead of concentrating on math, biology, chemistry. I got this right too, cuz I remember exponential before anything.
Common core has become the death of public schools. They dont teach the formulas anymore. Its basicly counting on your fingers and toes in a nut shell. Stupid
Thank you for your reply Andrew. I meant to show 10 over 10x10x10 which did not require brackets in the olden days. We crossed out the top 10 (leaving a 1) and did the same with one of the bottom 10’s. This became 1 over 10x10x1 or 1 over 100. Maybe our maths working was more visual.
I wish I had had you as my high school math teacher. My geometry teacher would face the chalk board when class began and then begin droning on and writing on the board. He never turned around to see if anyone had a question. When the bell rang ending the class, he stopped and that was it. I never took another math class. Your students are very fortunate!
That's just how he is. I can never watch start to end. Just work the problem and then skip forward and only pay attention if you got it wrong. I don't know if he got to Dear Aunt Sally on this video, but no matter as I knew it.
Yeah, 14mins could be shortened to 5mins. Can’t watch the whole thing. I do the math problem and speed to the end of the video, or look in the comments for the right answer.
I'm 66 years old who was never a math whiz but did like geometry and statistics. My husband, an engineer, is the best math teacher I've ever had because he can clearly break problems down and explain things, plus he has endless patience. :) Well, I recently found your channel and decided to start working on a few problems just to challenge my aging brain. Seems I might have learned more and remember more about basic math than I thought I did. Anyway, thank you for making math understandable and enjoyable.
I didn’t get a wizard math teacher until my first year in college. She was from a family of mathematicians who played math games. She could give you ten ways to get to the correct answer. Her mind revolved around math like a musical instrument. ❤
I did these about 50 years ago, was a straight A student in maths. Basic maths has always been a problem for so many, but in reality it never changes, it's just understanding a concept. I enjoy doing the basic maths types, keeps the old grey cells working, lol
When I first saw the problem my immediate thought was to express both terms as exponents: 10^1 / 10^3, which allows simple subtraction of the exponents to give 10^-2, which is 1/100 or 0.01.
10^-2 is .1 It would be 10^-3 which moves the decimal to the left 3 spaces to be.01 Correction I was assuming you were also using scientific notation. You were using basic notation instead and thus your ^-2 was correct.
Everybody needs to learn to tie their shoes at some point. You learned it. That doesn't mean there isn't a 12 year old somewhere that needs to learn this for the first time. They didn't make it hard. They worked through the logic that you take for granted because you learned it 60 years ago. I used a^m ÷ a^n = a^m-n. But you need PEDMAS(order of operations) to know that.
10 ^1 / 10^3 ---> 10^(1-3) --> 10^-2 --> 1/10^2 --> 1/100 I would stick with the rules for exponents, i.e. dividing is subtracting exponents and not go down PEMDAS (multiplication - divide).
I’m a grandma having to go back to the school of math to help my grandkids with theirs. It’s almost like I’m digging up subconsciously stored math principles that I acquired, but at the time no conscious awareness of it was happening! Your channel is drawing it all out, and I am amazed, even at my age, of the AI’s ability to retrieve it from so deep a recess, or reteach an old brain. I shouldn’t be because I am aware of the “awe-inspiring way in which we are wonderfully made.” The reminders of it never get old!
It’s like a second language. You have no idea how you know certain words. You can’t remember where or when you learned them but you know you know them.
Tutored an adult remedial math student. Asked her: how much money do you have, if you have 75 percent of one dollar? She was baffled. She had zero concept of fractions or percentages.The struggle is real.
@@deltabravo1811 lol that’s bad. I waited tables through school back in the day and we had to hand write their bills. The taxes here were 8% PST, 7% GST and alcohol tax 10%. One of my coworker’s mind was blown that I didn’t need a calculator for the alcohol tax. I tried to show her and she just sat there in total shock and was like “Oh I could never do that without a calculator”. I gave up. Imagine needing to whip out a calculator to figure out what 10% is on a $22 bottle of wine! 🤦♀️
For sure. I see all fractions as decimals. I log inspection sheets in manufacturing. They always write it in fractions and I convert every one of them to decimals.
I have hated dealing with math my whole life and I blame it on bad math teachers! If you are not taught math properly in the beginning stages of your education, you end up with a week foundation and its very hard to build on top of a week foundation. This reasoning goes for a lot of thing in education.
Love this. I am getting all the answers.! CARRY ON, PLEASE. Our math's teacher, the last two years of high school. broke the confidence of our whole class.
I love these videos. Short and sweet and super helpful for those of us who are more language-oriented. I write and proofread, I am great with anything English. Not so much with math, but I got this one!
In the way the problem is written, .01 is the correct answer. If you wrote the problem in the format that you gave your answer, then you are correct. In the end both 1 over 100 and .01 are correct answers.
@johnletourneau6176 , you are absolutely correct💯% The facilitator didn't finish off completely! At 71, I had worked out mentally, the answer 0.01, in less than 10 seconds...as taught in high-school in the late 1960,s!
I've been out of high school for well over 30 years at this point - I wish my math teachers were this thorough. Thanks for sharing your knowledge and teaching skills
It is 10^(-2) or 0.01 (10^1 / 10^3) In a division, subtract the denominator exponent from the numerator exponent IF the base (10) is the same. It is also 10/1000.
I have been enjoying your content for a few weeks now. I find it great for reminding me of much of what I've forgotten. My only nit to pick is that I can watch a 15 minute video you have created and 7 of those 15 minutes have nothing to do with actually solving the problem. Otherwise, informative content. Keep it going.
1 - 3 = -2, so 10^-2 Exponent tricks are fun! :D (that only works if they have the same base though - you couldn't get away with that with 8 / 6^2, for example)
parietal lobe areas are central in calculating and processing of numbers (1,3), while frontal lobe areas are involved in recalling numerical data-they like to suppress parts of your brain and Hoover over you collecting your thoughts-to confuse you so you can’t remember-
The only issue in many things in life is understanding the questions correctly and not trying to cut corners. I have been getting them right but I was good at maths before and I understand the codes.
It helps greatly to have a proper understanding of math. Most (including most calculators) will get the following simple equation woefully wrong: 8/2(1+3)
You just explained it to me in one second. Thanks chesswizard05.😊😊😊 I still don't get how 2 to the third = 6 in the example, when 2x2x2 would be 8. 2x2 =4 ×2 =8 he confuses me, lol.
I didn't know about PEMDAS, but I knew to cube the denominator before any other step. I was then. able to get the correct answer. My Highschool freshman algebra teacher, Mr. George Hilla taught me well! In fact, Mr. Hilla was one of the best teachers I ever had. I'm pretty good at math, in large part to him. Wow. I graduated H.S. in 1975. If Mr. Hilla is still alive, he'd be about 90 by now.
I'm from Canada. We use BEDMAS Brackets, exponents, division, multiplication, addition, subtraction.... essentially the same idea. Never good at math. I've been watching a few of your videos. Always good to learn.
Another reason you have to do the 10e3 first is because you have to know what you are dividing the 10 by. The e3 is for the 10, not for the whole problem.
You don't even need order of operation for this specific problem; when you have any number raised to any power with an arithmetic operation, you either add the exponents or subtract the exponents as needed. in this case 10^1 / 10^3 = 10^-2 or 0.01
The division sign makes it confusing. I think that is why algebra uses / instead of that sign. And if you are going to use that division symbol then we should use parenthesis to eliminate the confusion of what order we should do it in.
I don't ever remember a teacher using the acronym PEMDAS, but it must have been taught to me because, I can usually figure these math problems out. Thanks for the tip though.
I wish my junior high and high school math teachers had been so great at breaking things down like this. English was my forte but I might have actually liked math if it had been explained so clearly. As it was, the only form of mathematics I excelled in was geometry (which I loved…solving all those theorems and having a gifted teacher).
Master each step, yup. 10/1000 is just as simple to reduce but I understand your method helps with the optics. I think we may have used this method in school with dividing numbers with exponents (I personally found it confusing initially because it seemed to demand an unnecessary step). It probably is beneficial to those who might find the larger numbers daunting.
and here's a memorization tip for YOU: remember, "pneu" means "air or breath", the word you are looking for but keep missing is "mnemonic"... you continually say "pneumonic", when you mean "mnemonic", unless aunt sally has PNEUmonia.
Greetings. The correct answer is. 0.01, determined as follows 10 divided by 10 raised to the 3rd power. Now, 10 in the numerator is the same as 10 raised to the 1st power, divided by 10 raised to the 3rd power will result in 10 raised to the minus 2. 10 to the minus 2 is the same as 1 divided by 100 = 0.01.
I remember the order of operations for sure, but not the acronym until about 30 - 40 yrs ago. I loved math and was a math minor in college. Now I'm 65. Thank you for your channel
@@linsqopiring6816 I only know what I use on a daily basis, the rest is History 🙂. I teach High School Veterinary Science which includes weight conversions, calculations for drug administration, and simple math for calculating vital signs. Other than that, my college math has gone bye, bye.
@@FTG2Eli Kind of what I suspected. I think probably any math beyond grade 10 is almost never used by the general population. Even lots of stuff in grade 10 is never used.
It's not hard. There are some easy rules for exponents and the one for division says: 10 to power 1 divided by 10 to power 3 means you take the power 1- power 3 which becomes -2. SO you get 10 to -2 power which is same as 0.01 or 1/100. The rule for division is take the powers and subtract, where multiplication is to add. Easy peasy.. He then Makes it easy to learn/ understand rules when he explains why the rule exists by showing 10/(10*10*10) and how 10 on top and one on bottom cancel out because 10/10 is same as 1. The point is to learn the rules because it's not always going to be as easy as 10/1000! Hope this helps...
i think its easier than all that, its just 10 divided by 1000, so just move the 1 to the right place with the decimal point. Edit, so 10/10=1, 1/10=0.1, 0.1/10=0.01 I think that makes it a lot easier.
@@amandachilds5290 Sorry, misread that bit then. Also i wasnt sure you could have negative power numbers. Maybe ive just never been taught that side of it.
I just mentally used law of indices...10 = 10^1, so 10 ÷ 10^3 = 10^1 ÷ 10^3. As it's a division with numbers of the same base we subtract the indices: 1 - 3 = -2, so therefore 10^-2 = 0.01.
Let me explain what Mathematic is. Math means LOGIC. If you don't have logic, then you must be extremely bad in math; but math can make some one logical just by studying it and understanding it. So math and logic they go together and they are like nuts and bolts in the same size. The more you know, the more you are logical.
Operator order of application to evaluate expressions: Expressions in most deeply nested brackets first, then unary, exponentiation, multiplication, addition. Any possible ambiguity should ALWAYS be resolved using brackets to specify intended order of operation.
Do they still use the FOIL system in school ? I had to take a math test for a managerial position in statistical process control. 30 years out of high school and some computer programming training my math skills were basically forgotten. I was looking at the number sentence and all of a sudden the Foil method clicked and I had 100% on the test! I told my manager I had no skills in math. I truly believe I did not like math. I was an A student in mostly everything other subject! I had a reason to want to do math and it'll clicked. I love your tutorials for all the things I missed or didn't grasp at the time. I also have never heard of your PEMDAS I thought it was new math until you stated otherwise.
Yes, but i dislike FOIL as an acronym since it's just the distributive property applied twice lol. Good on you for rediscovering math's applications though!
@@idlesquadron7283 when my children were in school back in the early 90s they needed help on their homework. They used to become very upset with me because although we had the same answer it was not done by the same process! Leading to a lot of frustration and Tears!😰 now they have their own children....... I'm curious to see what happens😂
Calculator? I remember using Log Tables at school. To me she wasn't a good teacher and many times the entire class didn't understand. I did some Open University courses which involved a bit of maths and only then understood properly how to rearrange equations. I've seen a few of your videos and they are very clear at explaining things.
This guy keeps changing the formula for us newbies. If 2sq is 4, how can 2 to the power 3 =6, when he says 10 to the power of 3 = 1000. 10x 10 = 100 × 10 = 1000. So 2 power of 3 would be 2 x2 =4 x2 =8 ? HELP PLEASE 😮 ANYBODY. 😊
It's not hard but many teaches make it confusing...There are some easy rules for exponents and the one for division says: 10 to power 1 divided by 10 to power 3 means you take the power 1- power 3 which becomes -2. SO you get 10 to -2 power which is same as 0.01 or 1/100. The rule for division is take the powers and subtract, where multiplication is to add. Makes it easy to learn rules and he explains why the rule exists but showing 10/(10*10*10) and how 10 on top and one on bottom cancel out because 10/10 is same as 1. Hope this helps...
Wow! That was explained in such a confusing way for this particular problem. And he never said to put it in fraction form. 10÷1000 = 1000 into 10 which you have to add zeros to equalize places so it is 00.01. I wish there was a division sign on the keyboard. Anyhow its 10.00÷1000=.00.01 which = 1/100.
I just divided the fraction like you would to get a percentage (10 divided by 1000). Then I took the answer (0.01) and changed it to a fraction (1/100). However, your way was less confusing.
I never heard about PEMDAS until my grandkids started school. I would like to see a practical problem in engineering where PEMDAS is important; I always set up problems in parenthesis that kept numbers straight.
@@cmack2769I think you just ended up with it backwards (or upside down). You should have gotten 10/1000 which reduces to 1/100. If you don’t do it as a fraction, you end up with 10 divided by 1000, which = .01, which is one hundredth or 1/100. Hope that helps!
Got it! I guess I’m not such a stupid 67 year old accountant after all. I earned 2 graduate degrees in accounting and mba in finance and business analytics while working full time/ overtime in my 50s. Yay! This gives me hope. Miracle of miracles. Thank you for your self esteem building math videos.
Here's the fastest and best way to solve this. I learned this at Durham College in the academic upgrading program. This only works for multiplying and dividing when the numbers have identical bases [4x4, 7x7, 12/12, etc... exponents be dammed...]. ^ = raised to the following exponent / = divide by the following number. 10^1 / 10^3 = 10^[1-3] = 10^-2 = 1/10^2 = 1/100. The final answer can also be expressed as .01 When multiplying or dividing exponents with identical bases, you keep the first one, discard all the others, and place the exponents in left to right order. If you don't see an exponent on a base, it's deemed to be 1, so up put a 1 as the exponent. You then add or subtract all the exponents only. If a base was preceded by a divide, that exponent is deemed negative [ meaning you subtract it later...], and if it is preceded by a multiply, the exponent is deemed positive [meaning you add it later...]. Step 1 -Ensure all bases have expressed exponents. Any number that doesn't have an exponent is raised to the power of 1. Ensure that this is expressed. 10 /10^3 = 10^1 /10^3 Step 2 -Add or subtract the exponents. Since you're dividing, you subtract resulting in a negative exponent in this specific circumstance instead of a positive one. 10^1 / 10^3 = 10^[1-3] = 10^-2 Step 3 -When dealing with a negative exponent, 1 is always the numerator, and the denominator is the base to the exponent. 10^-2 = 1/10^2 Step 4 -Solve the final equation to get the answer. 1/10^2 = 1/100 The answer is 1/100, or .01 Using the tactic above, this question can be done without paper, in your head, in less than 20 seconds. If your bases or exponents are high, then you have the final base to exponent waiting for you to get your final answer in less than 20 seconds guaranteed.
Covert everything to scientific notation or exponential form. Makes the problem easier because dividing my exponents with same coefficient is simply subtracting the exponents. 10^1 / 10^3 Same coefficient of 10, so subtract. 10^1 - 10^3 = 10^-2 10^-2 = .01
So in German we simply say Punkt vor Strich Rechnung. This means anything that has a dot in it like ' :' and 'x' which is indicated put just a dot in the middle has to be taken care of first and THEN we take care of + and -. To compress that it further we simply say dots before dashes or strokes or whatever you want to call them. Way simpler.
Nobody can please the whole world. Life is extremely short! Why not lose our pride and appreciate what is served to our plate? Let’s be grateful to this teacher’s hard work and patience. Do not feel jealous for any money the teacher earns from UA-cam. Always, you also have the freedom to earn money if you want to.
14 minutes to explain and work through an exponent and division makes me happy to relearn from a textbook if I need to help out. Someone got left behind in homeschool
Remember the power rules. 10^1/10^3=10^(1-3)=10^(-2)=1/100. And I get it, in high school, when learning these rules, it can be confusing. I wish the divided symbol would always be a horizontal bar rather than the symbol I can’t even use in a reply.
If you see a small number being divided by a very large number, obviously you are not going to have very much left! A needle follows grooves on an LP album. It makes beautiful music. Can you make a video on how a metal needle creates a perfect blend of beats, rythums, and lyrics on a piece of round plastic?--------- Sometime you just have to let things go if you want to sleep at night.
Many of your questions are ambiguous because of ambiguous notation. Pointing out the ambiguities is useful. This notation is not ambiguous. It is straight forward. We don't need to pretend there is ambiguity when there is none.
The answer would be 1 if it was solved as (10÷10)^2, but in this question, we must first do the exponents, following BEDMAS, or whatever. So it can also be said as 10 ÷ 1000, which is 10^3. And the answer would be 0.1.
I'm 57 and, using PEMDAS, I got 10/1000 which reduces to 1/100 which is the same thing as .01.
Yeah I came up with 0.01. Same thing.
I had the 0.01, it was only half done whilst it remained a fraction.
I thought it was my attention span😮
I got 10 ^-2... .01
.01
I was a B+ student in Math in High School until I hit ‘New Math’. I had a lot of turmoil going on at home so there was no help there. I tried going through counselors at school, hoping to find some tutoring. Somehow there was no real guidance (counselor didn’t do anything, said she couldn’t help) and the ball was dropped. Finally, once again I turned to my teacher and though he was aware of my efforts he told me to drop the class. It was SO demoralizing and facing no other sources of support… I did just that. (I couldn’t find a way forward so I considered myself incapable). At nearly 72 my inability to understand math has been my lifelong frustration. I have always been interested in career fields that required math and found I could never begin to consider them. I THANK YOU for your efforts on this channel I am a new GRATEFUL follower!!
I am 72 and can totally relate to the NEW Math they threw at us in the 7th grade! My parents didnt understand it and frankly did not bother trying to help me on ANYTHING related to school. Neither did my teacher. Her attitude was get it on your own or flunk. I made it thru but it left me not liking math. Then in college ad I progressed through calculus and the prof had the same attitude it was distressing. I was told by my elementary functions math prof that I solved problems with "brute force and ignorance ". But I arrived at the correct answers. Now at my leisure I love these math classes and find I'm quite good at it because theres no pressure and I'm doing it because I live it. I haven't missed an answer here yet. Thanks for these videos!!! From a retired family medicine practitioner of 50 years
I’m 70 years old, hated math my whole life but John’s videos make me want to learn math all over again. Thank YOU, John!
When you were younger you hated math and cared little to learn. Now your older and have more sense, you want to learn and gain knowledge. YEAAAA!
@@donlute3444 I hated math, Yes, but my edge to learn and protect people was all encompassing. I trained and served as an EMT, a Paramedic, a Physician, a Police Officer, a soldier, and an instructor in aviation, scuba diving and other useful endeavors all to add to my “Rescue” skills. Math was a void in my education relying on my basic knowledge and others to bridge my skill set. As I grew older only my pride, technology and lack of enthusiastic teachers/professors held me back. My interest never wained. John is one of few that I’ve encountered. Now I have the time and interest to fill that gap. Thank God that there is people like John that still exist or otherwise people like me would not know the “secrets” to learn what was previously unavailable to me/them. Thank You, John!
@@stephenreese5921 of course. You didn't hate to learn all the rest, now you want to learn...math, which you hated.
good to hear, just don't learn from John. every video of his i have seen is full of errors.
@@garfnob4832 Who would you suggest then that I learn the “right” way?
75+ years ago I was learning basic maths. No PEDMAS for us but 10/ 10x10x10 easily became 10/1000 or 1/100. I have managed to be right in 8/8 of your questions so far. Has basic maths become more difficult or has trying to make it easier for children backfired? I will still continue to check I have not become too dumb in my old age
The biggest problem with modern arithmetic teaching is that it's all cart before horse. Children are supposedly going to learn the "whys" of math questions, before learning how to get the problems solved correctly. This is especially obvious if you've seen Common Core curriculum materials. People are even given full scores on math assignments, even if they come up with the wrong answer entirely. Of course the natural consequence of rewarding poor math results is to get more bad results. Hence my calling it "cart before horse."
My Grandmother was absolutely insistent that I (and all her grandkids) learned my arithmetic tables at a very young age. I may not have understood the full logic behind it, but I could get the right answer. Weirdly, knowing the answer actually made it easier to grasp the rationale behind the answer, making mathematics one of my best subjects in school, always scoring in the 98th percentile or so in standardized tests.
Schools these days are busy trying to indoctrinate your children, like teaching them gender theories, equalities, & all that woke crap, instead of concentrating on math, biology, chemistry. I got this right too, cuz I remember exponential before anything.
Common core has become the death of public schools. They dont teach the formulas anymore. Its basicly counting on your fingers and toes in a nut shell. Stupid
10/ 10x10x10...this is written wrong. As written you get 100. Write as 10/(10x10x10)
Thank you for your reply Andrew. I meant to show 10 over 10x10x10 which did not require brackets in the olden days. We crossed out the top 10 (leaving a 1) and did the same with one of the bottom 10’s. This became 1 over 10x10x1 or 1 over 100. Maybe our maths working was more visual.
I wish I had had you as my high school math teacher. My geometry teacher would face the chalk board when class began and then begin droning on and writing on the board. He never turned around to see if anyone had a question. When the bell rang ending the class, he stopped and that was it. I never took another math class. Your students are very fortunate!
Instructor takes too much time to show solution.
That is not teaching, he should not have been in the classroom.
The answer is 3
Wow, you made that a lot more complicated than it needed to be.
That's what my HS Algebra teacher used to regularly say.
"You're trying to make something hard out of something easy."
That's just how he is. I can never watch start to end. Just work the problem and then skip forward and only pay attention if you got it wrong. I don't know if he got to Dear Aunt Sally on this video, but no matter as I knew it.
Yeah, 14mins could be shortened to 5mins. Can’t watch the whole thing. I do the math problem and speed to the end of the video, or look in the comments for the right answer.
That’s how you make money on UA-cam
That made an easy problem waaaaaasy more complicated than it needed to be
I'm 66 years old who was never a math whiz but did like geometry and statistics. My husband, an engineer, is the best math teacher I've ever had because he can clearly break problems down and explain things, plus he has endless patience. :) Well, I recently found your channel and decided to start working on a few problems just to challenge my aging brain. Seems I might have learned more and remember more about basic math than I thought I did. Anyway, thank you for making math understandable and enjoyable.
I agree 💯%. 😉
I didn’t get a wizard math teacher until my first year in college. She was from a family of mathematicians who played math games. She could give you ten ways to get to the correct answer. Her mind revolved around math like a musical instrument. ❤
@@LaniAnne40214:18
Funny how when we're older, we can find joy and pleasure out of things we absolutely hated as a child. 😂
You don’t have to use PEMDAS since the bases are the same. All you have to do is subtract the exponents. 1-3= -2. 10^-2 is the same as 0.01.
Exactly what I did; it took less than 10 seconds to solve this!
I just looked at it and said it's 10 divided by a thousand which is a hundredth or 0.01.
👍👍💯💯
Exactly!!
Exactly, wonder why this wasn't explained.
I read the comments and, find it interesting how many of us older people are interested.
Thxs so much for your time and videos.
Cheers, Bill
I did these about 50 years ago, was a straight A student in maths. Basic maths has always been a problem for so many, but in reality it never changes, it's just understanding a concept. I enjoy doing the basic maths types, keeps the old grey cells working, lol
When I first saw the problem my immediate thought was to express both terms as exponents: 10^1 / 10^3, which allows simple subtraction of the exponents to give 10^-2, which is 1/100 or 0.01.
Exactly! Fastest way to mentally solve this problem.
I just wiped out my calculator. Got .01
10^-2 is .1
It would be 10^-3 which moves the decimal to the left 3 spaces to be.01
Correction I was assuming you were also using scientific notation. You were using basic notation instead and thus your ^-2 was correct.
@@jpsphoto-vision8803 Think again.
@@jpsphoto-vision8803 so what do you think 10^-1 is then?
I learned this 60 years ago and I solved it in seconds in my head. So easy and they make it so hard
Rolf. goody for you....
I failed math in High school and figured it out mentally.
I agree. 10/1000 = .01. Just move the decimal to the left three spots and you have it.
Yeah, its worrying that people get this wrong.
Everybody needs to learn to tie their shoes at some point. You learned it. That doesn't mean there isn't a 12 year old somewhere that needs to learn this for the first time.
They didn't make it hard. They worked through the logic that you take for granted because you learned it 60 years ago.
I used a^m ÷ a^n = a^m-n. But you need PEDMAS(order of operations) to know that.
10 ^1 / 10^3 ---> 10^(1-3) --> 10^-2 --> 1/10^2 --> 1/100 I would stick with the rules for exponents, i.e. dividing is subtracting exponents and not go down PEMDAS (multiplication - divide).
Interesting take on it! I didn't think of doing it that way, but it's more efficient!
I completely agree. I did it that way too and it seems more algebraic to me. :)
I’m a grandma having to go back to the school of math to help my grandkids with theirs. It’s almost like I’m digging up subconsciously stored math principles that I acquired, but at the time no conscious awareness of it was happening! Your channel is drawing it all out, and I am amazed, even at my age, of the AI’s ability to retrieve it from so deep a recess, or reteach an old brain. I shouldn’t be because I am aware of the “awe-inspiring way in which we are wonderfully made.” The reminders of it never get old!
It’s like a second language. You have no idea how you know certain words. You can’t remember where or when you learned them but you know you know them.
Tutored an adult remedial math student. Asked her: how much money do you have, if you have 75 percent of one dollar? She was baffled. She had zero concept of fractions or percentages.The struggle is real.
@@deltabravo1811 lol that’s bad. I waited tables through school back in the day and we had to hand write their bills. The taxes here were 8% PST, 7% GST and alcohol tax 10%. One of my coworker’s mind was blown that I didn’t need a calculator for the alcohol tax. I tried to show her and she just sat there in total shock and was like “Oh I could never do that without a calculator”. I gave up. Imagine needing to whip out a calculator to figure out what 10% is on a $22 bottle of wine! 🤦♀️
I read it as .01 as it eliminates any fraction and is more practical using this math for say, machining, or carpentry.
I was going to say something very similar.
@@chrisdale5443 That's because you're brilliant. As am I. My mom told me so.
For sure. I see all fractions as decimals. I log inspection sheets in manufacturing. They always write it in fractions and I convert every one of them to decimals.
I have hated dealing with math my whole life and I blame it on bad math teachers! If you are not taught math properly in the beginning stages of your education, you end up with a week foundation and its very hard to build on top of a week foundation. This reasoning goes for a lot of thing in education.
i've been terrified of math. you are so calming and clear. thanks for teaching!
Well explained. All I did was (10^1)/(10^3)=10^-2=1/100 or 0.01, whichever is preferred.
Love this. I am getting all the answers.! CARRY ON, PLEASE. Our math's teacher, the last two years of high school. broke the confidence of our whole class.
I love these videos. Short and sweet and super helpful for those of us who are more language-oriented. I write and proofread, I am great with anything English. Not so much with math, but I got this one!
This video ia away from simple
😊
Mr ipf you call that short and simple. Read my other comment
In the way the problem is written, .01 is the correct answer. If you wrote the problem in the format that you gave your answer, then you are correct. In the end both 1 over 100 and .01 are correct answers.
.01 was my answer too.
@johnletourneau6176 , you are absolutely correct💯% The facilitator didn't finish off completely! At 71, I had worked out mentally, the answer 0.01, in less than 10 seconds...as taught in high-school in the late 1960,s!
I just looked at it as a fraction. Ten thousandths is one one hundredth.
.01 and 1/100 are mathematically identical.
@@androidbox3571 My point exactly.
1 + 1 = ??
Many will get this wrong!
Hint: does not equal 11.
agreed 1+1 does not equal 11, 1+1 = 10
1 + 1 = 1 + 1
I've been out of high school for well over 30 years at this point - I wish my math teachers were this thorough. Thanks for sharing your knowledge and teaching skills
It is 10^(-2) or 0.01
(10^1 / 10^3)
In a division, subtract the denominator exponent from the numerator exponent IF the base (10) is the same. It is also 10/1000.
I got 1% before he started talking. He makes heavy weather of the simplest things.
I just got .010 ( ten one thousandths) , or same answer as you, in my head. But then I had some machine shop and think in 1/1000's
yeah, 0.01 was my answer, fractions or decimals same answer just presented differently. The question does not ask for either so either is correct.
no need to get onto negative exponent
simple math gets you to .01
No wonder kids shut off during math. That was the most convoluted thing I have yet seen.
Dude isnt the best teacher. Too much fluff. This video should have been 2-3 minutes tops
Former teacher..now 71..these keep my skills sharp
I love mathematics . Your videos are amazing . Thank you so much . I'm 61 years old , and am saving for your courses . Thank you again , Michael .
I have been enjoying your content for a few weeks now. I find it great for reminding me of much of what I've forgotten. My only nit to pick is that I can watch a 15 minute video you have created and 7 of those 15 minutes have nothing to do with actually solving the problem. Otherwise, informative content. Keep it going.
I love seeing your thumbnails and trying to figure it out myself before clicking the video keeps the brain working
Haven’t tutored math in 5 years and I did it in my head
1 - 3 = -2, so 10^-2 Exponent tricks are fun! :D (that only works if they have the same base though - you couldn't get away with that with 8 / 6^2, for example)
parietal lobe areas are central in calculating and processing of numbers (1,3), while frontal lobe areas are involved in recalling numerical data-they like to suppress parts of your brain and Hoover over you collecting your thoughts-to confuse you so you can’t remember-
The only issue in many things in life is understanding the questions correctly and not trying to cut corners. I have been getting them right but I was good at maths before and I understand the codes.
It helps greatly to have a proper understanding of math.
Most (including most calculators) will get the following simple equation woefully wrong: 8/2(1+3)
Do the exponent first. 10 to the third is 10×10×10 = 1,000.
10/1000 = 1/100
1/100 (final answer)
You just explained it to me in one second. Thanks chesswizard05.😊😊😊 I still don't get how 2 to the third = 6 in the example, when 2x2x2 would be 8. 2x2 =4 ×2 =8 he confuses me, lol.
I didn't know about PEMDAS, but I knew to cube the denominator before any other step. I was then. able to get the correct answer.
My Highschool freshman algebra teacher, Mr. George Hilla taught me well! In fact, Mr. Hilla was one of the best teachers I ever had. I'm pretty good at math, in large part to him.
Wow. I graduated H.S. in 1975. If Mr. Hilla is still alive, he'd be about 90 by now.
I'm from Canada. We use BEDMAS
Brackets, exponents, division, multiplication, addition, subtraction.... essentially the same idea. Never good at math. I've been watching a few of your videos. Always good to learn.
I did question #1 in my head in about 5 seconds... I think I got the hang of it. Might be slow compared to others but I'm still happy with that.
So did I and I had no math after 10th grade.
I did the power and then canceled the 0. 1/100 is the answer. Thanks for confirming to me that I really know how to do this!
Another reason you have to do the 10e3 first is because you have to know what you are dividing the 10 by. The e3 is for the 10, not for the whole problem.
You don't even need order of operation for this specific problem; when you have any number raised to any power with an arithmetic operation, you either add the exponents or subtract the exponents as needed. in this case 10^1 / 10^3 = 10^-2 or 0.01
The division sign makes it confusing. I think that is why algebra uses / instead of that sign. And if you are going to use that division symbol then we should use parenthesis to eliminate the confusion of what order we should do it in.
I don't follow. There is no ambiguity. PEMDAS clearly says Exponents first, then Multiplication/Division.
The equation is not confusing. The order of operands is very clear. I think it is you who is confused because you don’t understand bodmas/pemdas.
I don't ever remember a teacher using the acronym PEMDAS, but it must have been taught to me because, I can usually figure these math problems out. Thanks for the tip though.
I learned that one in 6th grade and it stuck 😊
@@75aces97which year? Bet it’s post 80s
@@labryon actually would have been mid 80s
I got it right. Long live Aunt Sally! Thanks. My "I" needs all of the help it can get. 😊
I wish my junior high and high school math teachers had been so great at breaking things down like this. English was my forte but I might have actually liked math if it had been explained so clearly. As it was, the only form of mathematics I excelled in was geometry (which I loved…solving all those theorems and having a gifted teacher).
.01 Ten cubed is 1000. That is the first function. Ten divided by 1000=.01 or 1/100th.
0.001 ?
Master each step, yup. 10/1000 is just as simple to reduce but I understand your method helps with the optics. I think we may have used this method in school with dividing numbers with exponents (I personally found it confusing initially because it seemed to demand an unnecessary step). It probably is beneficial to those who might find the larger numbers daunting.
I'm a middle aged grandpa. Your videos help me achieve true glory in their eyes! Thankyou! ❤
and here's a memorization tip for YOU: remember, "pneu" means "air or breath", the word you are looking for but keep missing is "mnemonic"... you continually say "pneumonic", when you mean "mnemonic", unless aunt sally has PNEUmonia.
Greetings. The correct answer is. 0.01, determined as follows 10 divided by 10 raised to the 3rd power. Now, 10 in the numerator is the same as 10 raised to the 1st power, divided by 10 raised to the 3rd power will result in 10 raised to the minus 2. 10 to the minus 2 is the same as 1 divided by 100 = 0.01.
0.01 - 1 cent ))
I did it that way too.
I'm 63 and I wish I had you as my math teacher as well. You're the best
I remember the order of operations for sure, but not the acronym until about 30 - 40 yrs ago. I loved math and was a math minor in college. Now I'm 65. Thank you for your channel
Curious how much math you remember from college?
@@linsqopiring6816 I only know what I use on a daily basis, the rest is History 🙂. I teach High School Veterinary Science which includes weight conversions, calculations for drug administration, and simple math for calculating vital signs. Other than that, my college math has gone bye, bye.
@@FTG2Eli Kind of what I suspected. I think probably any math beyond grade 10 is almost never used by the general population. Even lots of stuff in grade 10 is never used.
When dividing like bases subtract exponents. 1-3 = -2, 10^-2 = .01 or 1/100
I said 10^1 - 10^3 = 10^-2 or 1/10^2 (my final answer) (I just subtracted the exponents)
It's not hard. There are some easy rules for exponents and the one for division says: 10 to power 1 divided by 10 to power 3 means you take the power 1- power 3 which becomes -2. SO you get 10 to -2 power which is same as 0.01 or 1/100. The rule for division is take the powers and subtract, where multiplication is to add. Easy peasy..
He then Makes it easy to learn/ understand rules when he explains why the rule exists by showing 10/(10*10*10) and how 10 on top and one on bottom cancel out because 10/10 is same as 1. The point is to learn the rules because it's not always going to be as easy as 10/1000! Hope this helps...
i think its easier than all that, its just 10 divided by 1000, so just move the 1 to the right place with the decimal point.
Edit, so 10/10=1, 1/10=0.1, 0.1/10=0.01 I think that makes it a lot easier.
@@cabbageplays6710 no because what happens when you change the exponents and it's like 10 to 18 divided by 10 to -235? Just Use the rules
@@amandachilds5290 but surely 10 to18 divided by 10 is just 10 to 17??
@@cabbageplays6710 I said 10 to the negative 235 not 10 🤷...negative exponents follow the rules too.. 10 to the.(18-(-235))
@@amandachilds5290 Sorry, misread that bit then.
Also i wasnt sure you could have negative power numbers. Maybe ive just never been taught that side of it.
We called it BOMDAS B=Brackets O=order/of and the MDAS the same.
I learned it as BODMAS.
British 1980s.
I just mentally used law of indices...10 = 10^1, so 10 ÷ 10^3 = 10^1 ÷ 10^3. As it's a division with numbers of the same base we subtract the indices: 1 - 3 = -2, so therefore 10^-2 = 0.01.
To me this is the simplest method by far
Ok well, your method was a lot faster than my method of using pebbles.
I'm still working it out on my fingers and toes.😉
my abicus did just fine. pebbles are so "90's"
Let me explain what Mathematic is. Math means LOGIC. If you don't have logic, then you must be extremely bad in math; but math can make some one logical just by studying it and understanding it. So math and logic they go together and they are like nuts and bolts in the same size. The more you know, the more you are logical.
Maths always seemed illogical to me, apart from basic addition, subtraction, division, and multiplication. I must be totally lacking in logic!
@@jol4342 Hopefully not, but in reality knowing mathematics makes a person more logical.
@jol4342 I'm the same. My brain is geared for English. I've always found males are math orientated, women English.
I'm an old man and it's fun to cover these problems again.
Operator order of application to evaluate expressions: Expressions in most deeply nested brackets first, then unary, exponentiation, multiplication, addition. Any possible ambiguity should ALWAYS be resolved using brackets to specify intended order of operation.
I used exponents: 1-3=-2
Using common core math, the answer I got is fire truck.
🤣🤣🤣
😂😂😂😂😂😂 Damn, I got a frog.
common core what??
Do they still use the FOIL system in school ? I had to take a math test for a managerial position in statistical process control. 30 years out of high school and some computer programming training my math skills were basically forgotten. I was looking at the number sentence and all of a sudden the Foil method clicked and I had 100% on the test! I told my manager I had no skills in math. I truly believe I did not like math. I was an A student in mostly everything other subject! I had a reason to want to do math and it'll clicked. I love your tutorials for all the things I missed or didn't grasp at the time. I also have never heard of your PEMDAS I thought it was new math until you stated otherwise.
Yes, but i dislike FOIL as an acronym since it's just the distributive property applied twice lol.
Good on you for rediscovering math's applications though!
@@idlesquadron7283 when my children were in school back in the early 90s they needed help on their homework. They used to become very upset with me because although we had the same answer it was not done by the same process! Leading to a lot of frustration and Tears!😰 now they have their own children....... I'm curious to see what happens😂
Calculator?
I remember using Log Tables at school.
To me she wasn't a good teacher and many times the entire class didn't understand. I did some Open University courses which involved a bit of maths and only then understood properly how to rearrange equations.
I've seen a few of your videos and they are very clear at explaining things.
I got it right calculating in my head 😮
This guy keeps changing the formula for us newbies. If 2sq is 4, how can 2 to the power 3 =6, when he says 10 to the power of 3 = 1000. 10x 10 = 100 × 10 = 1000. So 2 power of 3 would be 2 x2 =4 x2 =8 ? HELP PLEASE 😮 ANYBODY. 😊
2 to the third power is 8
I got this immediately…math is fun
8 is correct. 😵💫😵💫😵💫😵💫
Thankyou guys much appreciated 😊😊
It's not hard but many teaches make it confusing...There are some easy rules for exponents and the one for division says: 10 to power 1 divided by 10 to power 3 means you take the power 1- power 3 which becomes -2. SO you get 10 to -2 power which is same as 0.01 or 1/100. The rule for division is take the powers and subtract, where multiplication is to add. Makes it easy to learn rules and he explains why the rule exists but showing 10/(10*10*10) and how 10 on top and one on bottom cancel out because 10/10 is same as 1. Hope this helps...
YAY! I love math....got it right. I'll start coming here a couple of times a week to keep my mind sharp...lol.
Subtract exponents with the same base: 10¹ ÷ 10³= 10², a valid shorthand of the operation.
Nope - It's 10-2 or 0.01.
@simul8guy75 duh ... lol yes, 10^‐2 ... 🙈
Wow! That was explained in such a confusing way for this particular problem. And he never said to put it in fraction form. 10÷1000 = 1000 into 10 which you have to add zeros to equalize places so it is 00.01. I wish there was a division sign on the keyboard. Anyhow its 10.00÷1000=.00.01 which = 1/100.
÷ = alt 246
I just divided the fraction like you would to get a percentage (10 divided by 1000). Then I took the answer (0.01) and changed it to a fraction (1/100). However, your way was less confusing.
Incorrect. Or at least partly incorrect.
@@ronniechilds2002 Care to explain because 0.01 is 1/100, which is the answer.
@@arielneil6161you wrote (00.1) it should be (0.01) to get 1/100
@@johnscott2746 thank you for catching that.
@@arielneil6161 oh you are entirely welcome!
I was always good in math. But now at age 84 forget it! My goodness! So thank you for this refresher!
why, are you encountering math problems on a daily basis that leave you confused and exhausted? this crap worked 40 years ago...
I never heard about PEMDAS until my grandkids started school. I would like to see a practical problem in engineering where PEMDAS is important; I always set up problems in parenthesis that kept numbers straight.
So does 1/100 = 100? 10 to the 3rd power = 1000, divided by 10 = 100
My answer was 100 too. I did not put it as a fraction.
@@cmack2769I think you just ended up with it backwards (or upside down). You should have gotten 10/1000 which reduces to 1/100. If you don’t do it as a fraction, you end up with 10 divided by 1000, which = .01, which is one hundredth or 1/100. Hope that helps!
.001
Whoops
@@jvallas Close. It’s .01 or 1/100.👍🏼
I GOT IT RIGHT!!! HAHAHA!!! 🥰
Got it! I guess I’m not such a stupid 67 year old accountant after all. I earned 2 graduate degrees in accounting and mba in finance and business analytics while working full time/ overtime in my 50s. Yay! This gives me hope. Miracle of miracles. Thank you for your self esteem building math videos.
Here's the fastest and best way to solve this. I learned this at Durham College in the academic upgrading program. This only works for multiplying and dividing when the numbers have identical bases [4x4, 7x7, 12/12, etc... exponents be dammed...].
^ = raised to the following exponent
/ = divide by the following number.
10^1 / 10^3 = 10^[1-3] = 10^-2 = 1/10^2 = 1/100. The final answer can also be expressed as .01
When multiplying or dividing exponents with identical bases, you keep the first one, discard all the others, and place the exponents in left to right order. If you don't see an exponent on a base, it's deemed to be 1, so up put a 1 as the exponent. You then add or subtract all the exponents only. If a base was preceded by a divide, that exponent is deemed negative [ meaning you subtract it later...], and if it is preceded by a multiply, the exponent is deemed positive [meaning you add it later...].
Step 1
-Ensure all bases have expressed exponents. Any number that doesn't have an exponent is raised to the power of 1. Ensure that this is expressed.
10 /10^3 = 10^1 /10^3
Step 2
-Add or subtract the exponents. Since you're dividing, you subtract resulting in a negative exponent in this specific circumstance instead of a positive one.
10^1 / 10^3 = 10^[1-3] = 10^-2
Step 3
-When dealing with a negative exponent, 1 is always the numerator, and the denominator is the base to the exponent.
10^-2 = 1/10^2
Step 4
-Solve the final equation to get the answer.
1/10^2 = 1/100
The answer is 1/100, or .01
Using the tactic above, this question can be done without paper, in your head, in less than 20 seconds. If your bases or exponents are high, then you have the final base to exponent waiting for you to get your final answer in less than 20 seconds guaranteed.
.02 (kidding)
.01
.01
Covert everything to scientific notation or exponential form. Makes the problem easier because dividing my exponents with same coefficient is simply subtracting the exponents.
10^1 / 10^3
Same coefficient of 10, so subtract.
10^1 - 10^3 = 10^-2
10^-2 = .01
So in German we simply say Punkt vor Strich Rechnung. This means anything that has a dot in it like ' :' and 'x' which is indicated put just a dot in the middle has to be taken care of first and THEN we take care of + and -. To compress that it further we simply say dots before dashes or strokes or whatever you want to call them. Way simpler.
Agree. I also learned it this way and never got confused like the people who learned PEMDAS.
By the time you explaining would be asleep
Nobody can please the whole world.
Life is extremely short!
Why not lose our pride and appreciate what is served to our plate?
Let’s be grateful to this teacher’s hard work and patience.
Do not feel jealous for any money the teacher earns from UA-cam.
Always, you also have the freedom to earn money if you want to.
Scientific Notation for the win! 10^-2
been over 50 yrs since I was taught math, I hated it then, I still dispise math today....know the basics and all my life is all I have needed...
I believe only about 10 percent of teachers teach like you. I had the ones that fell in the other 90 percent.
14 minutes to explain and work through an exponent and division makes me happy to relearn from a textbook if I need to help out.
Someone got left behind in homeschool
i have been freaked-out and distressed over math for over 60 years but Im starting to get addicted to your channel.
Remember the power rules. 10^1/10^3=10^(1-3)=10^(-2)=1/100. And I get it, in high school, when learning these rules, it can be confusing. I wish the divided symbol would always be a horizontal bar rather than the symbol I can’t even use in a reply.
1/100 or .01. You have to do the 10 to the third first then divide
I am enjoying learning. But how do i know what videos go in order so i can learn in a progressing manner?
Easy if you use the powers rule of multiplication and division. You simply do 1-3=-2 or 10 to the -2
Exactly. Ten to the minus two is point zero one or one one hundredth
.01
PEMDAS - in this case you deal with exponents first.
10 to the power of 3 = 1000
10 / 1000 = 1/100 or .01
If you see a small number being divided by a very large number, obviously you are not going to have very much left! A needle follows grooves on an LP album. It makes beautiful music. Can you make a video on how a metal needle creates a perfect blend of beats, rythums, and lyrics on a piece of round plastic?--------- Sometime you just have to let things go if you want to sleep at night.
Many of your questions are ambiguous because of ambiguous notation. Pointing out the ambiguities is useful. This notation is not ambiguous. It is straight forward. We don't need to pretend there is ambiguity when there is none.
Math used to be my worst subject, but apparently some still stuck! I got many of these online math problems right, including this one!
It's the math teachers those worst :((
I am 78. I have a doctorate in applied mathematics.
Your video is nice (sympathique in French). 👌
Nice is nice.
Why do you drag this out until I turn it off?
The division symbol should be replaced by a horizontal line giving a numerator and denominator
10/(10^3) = 10^1/(10^3) then you can do the rule of dividing exponents with the same base value, 10^0/10^2 = 1/100.
The answer would be 1 if it was solved as (10÷10)^2, but in this question, we must first do the exponents, following BEDMAS, or whatever. So it can also be said as 10 ÷ 1000, which is 10^3. And the answer would be 0.1.