I left school at 15 with only basic knowledge of maths. I find this helpful at extending my maths understanding. Perhaps this channel is not for those who know it all already and find it simple. Thank you, I appreciate your posting.
I left school at 15 these videos really help I'm telling you I don't know what I'd do without him I wish there were around back when I did leave school and I don't know how old you but I left school a long time ago back in 78
@@ralphmelvin1046 I wouldn't call it "drop out" or even graduate. Like many of my peers in the 1950's, when you turned 15 you were able to finish up school and start working and in fact most did just that. A different world .
I've always struggled with maths, but at age 76, got it right ! Honestly ! 👍🦉 All I did was the top line first , = 1/2, Then the bottom line : 2 x 4 = 8 ; Then 1/2 over 8 =1/16 Encouraging !👍😊 🇬🇧😊👍🦉⭐🌈🇬🇧
Through my entire math history, 3rd-8th then 9th-12th, forfeiture of Math in college, I have never received a passing grade. I have the report cards as proof. I’m hopeless. Simply put, I don’t get it. Being comfortable with numbers is an experience I’ve not had. I wonder if some of us who aren’t keen on Math are educationally equal to my Math loving friends. Algebra was so frustrating to me. Although I did a victory dance in my head each time I completed a problem, it took a very long time. I’ll hang in and attempt to get better with the instruction on this channel. I really appreciate you, Mr Math! It’s quite possible some history will be made here........or a miracle. Both seem possible. Thank you very much for taking the time to educate so well!
@kathygrosvenor7900 It is very much possible that you suffer from dyscalculia ( number blindness ). It is also very possible that you have been presented with the concepts in a way that simply didn't fit your learning modus. It is also not unlikely that your problem has been compounded by bad math teachers.Those are far too prevalent. Glad to hear you haven't given up. Good luck with your quest.
@@kathygrosvenor7900 I was a teacher. My math methods professor said, “No one is bad at Math; they were poorly taught.” Point is that the way something is taught has to match the way the student learns, whether the student has a special need or is “gifted.”
I failed geometry in grade 10 no matter how hard I tried dear. I could learn the formulas memorize them get those written note formulas right on the test but as far as applying the formulas to the math problems then it was greek to me and I failed math with a 53 this was in grade 10 1981-82 school year.
You take a long time getting there. Us oldies just do it in our heads in a few seconds. Albeit decimal calculations are more accurate when working to 3 places etc. Obviously fractions are still relevant and mental arithmetic kicks in when you just ‘know’ your tables.
You have to remember, it's algebra. Cross top 4 divided by 4 is 1. 2 divided by 8 is 4. Invert 4 over 1, to 1 over 4. Answer is 1/4. I had trouble in school with algebra. I had to attend summer school. The teacher there worked with me and made me finally understand algebra. 😊 I thank him for his patience and teaching skills.
The problem could also have been expressed as (4x(1/8))/(2x4). Looked at that way you could cancel out the 4 from numerator and denominator, leaving you with (1/8)/2 which is equal to 1/16.
Solved in my head at the thumbnail, my answer is c) 1/16. First, we evaluate both the numerator and the denominator as though they had explicit parentheses. 4/8 = 1 / 2. 2 * 4 = 8. Then, calculate the fraction as a whole, 1/2 / 8 = 1/16.
1/16. I REALLY solved it on paper before you gave the answer!! I am 70 and I use your channel to try to keep my brain going strong!! 😁⭐ Thanks, Mr UA-cam Math Man!!!
Clear notation, clear answer: 1/16. Because(4/8)/(2*4)=(1/2)/(8)=1/16 Expressions above the long fraction line we treat it as an expression in parentheses. It is similar with the expression under the fraction line.
I solved it correctly in my head in 10 seconds then watched until the end and learned something. Thank you. I am not capable of dragging something out like you do though. I learn better fast
I never could get the hang of mathematical discipline. Even so, I've had a fulfilling life, worked in civil @aviation and the electricity supply industry before retraining to teach in the 1960s and have never felt the need to understand the inner workings of my mathematical mind. I am 82, retired and have a classic Jaguar, so I've fulfilled my main dreams in life. So there!
I have always been frustrated mathematician. Math, especially algebra, made no sense to me. I love watching your videos and have learned some of the math methods I missed in high school. Thanks.
The first time I took algebra I made A's, but I didn't understand it. I just had a good memory and repeated what I remembered. I could see the steps from the lessons in my head. So I would repeat them and end up with a regular math problem I already knew how to solve. When I switched schools I was in big trouble, because they were ahead of us and you actually had to know what you were doing. LOL. P.S. I eventually ended up with a degree in engineering, but that's a very long story.
That’s the harder way to do it you can legit just go 0.5/8 and it’s 1/16h no need for the flipping step it’s a waste of time if you can do it in your head 1/8 is legit .125 if you have a .5/8 it’s just half that which is .0625 which is a 1/16th
@@Willis_war I prefer do it "step by step" because there are a lot of people that don't understand "without STEP BY STEP". They must see and watch in order to understand THIS "STEP BY STEP"! I'm teacher and I must explain each detail!
I love your teaching cause hoenstly most teachers don’t have that much detail I’d like to say I answered the first one I also answered the 25 one I love your probs they help keep me sharp. But I must say you say pemdas I say bedmas which is the same thing but just helps me remember brackets exponents multiplication or division left to right then addition subtraction left to right
So, written as a line, it goes: {(4/8)/(2x4)} =1/16. This way you don't have to assume the order of operations, just follow P.E.M.D.A.S. left to right paying attention to P. and the fraction bar defines its own order.
the HP-15C was the best calculator to enter problems like this one as it allowed to calculate every parenthesis on its own before entering the final operation. Brilliant machine.
The part that is the most confusing and the least explained is the “ implied parentheses”. Is you put parentheses around every part of a problem the order of operations is very clear. But it gets very bulky and Columbersom. In some of my mathematical formulas I add parentheses just to emphasize the order of operations to minimize errors.
Thought I wss crap at maths, turns out it took me all of 2 minutes to work it out in my head. Must have had better teaches than I thought back in the day!!
I just fast forward to the stuff I don’t know. Also, these videos are designed to be stand alone videos so every video will contain all the information you need to solve the type of problem presented.
Multiplication is not priority. In BODMAS, division is first; multiplication and division are the same rank. This problem can be rewritten as (4*8)/(2*4) thus adding parentheses to clarify.
Oh man. I did it in my head a completely different way and came up with the correct answer. As soon as he started explaining it my brain turned to mush. I had the same problem in school starting with prealgebra. I have Dyscalculia, also known as math dyslexia. I also have visual dyslexia. Visual dyslexia is not the same as reading dyslexia. If you make a row of pennies exceeding around 5 in a line, I can't look at them and tell how many there are. The pennies literally start moving around as I try to count them without touching them. Throw in a mild case of ADHD and it makes some things very difficult. My mother knew I had a learning disability but back in those days (the 1960s) parents didn't volunteer the fact that their children had a learning disability. The embarrassment was too much to bear.
PEMDAS has already been modified for exactly that. Another version of the acronym is GEMDAS with G for Groupings, which acknowledges that there are other grouping symbols in mathematics besides just parentheses.
Congratulations! According to your comment, you are extraordinarily smart in Math, right! However, it is so sad that before you developed brains for Mathematics, you haven’t acquired the basic wholesome human qualities for you to be able to live with the other fellow-beings in harmony. Before doing Mathematics or whatever, we should be wise enough to have compassion, empathy, generosity, etc., towards others. So, please don’t be impatient and brag about your ability to do in 10 seconds. This teacher is teaching to the majority of normal people like us.
@@chrisdissanayake6979 the majority of normal people like you (and me too since this is 3rd grade math) would have understood it much faster and easier if it was taught the easy and simple way. No need for needless verbose and confusing methods. People who use these techniques try to impress us because they don't impress their own selves.
@@sophie9843 Who are we to criticize the teacher ? It is like going into his house and demanding him to do things the way we want. That is rude. He has his freedom to teach in his own teaching style. If we do not like the way he teaches, we better start our own channel and teach in our way.
@@chrisdissanayake6979 who are WE to criticize the teacher? We are the people who should question anyone and anything, especially those who cultivate our minds and/or shape up our future. There is a special word for those who do not question anything that comes from a higher ranking whatever that ranking may be (academia, political, medical, social, ...) and the word is: herd. This teacher decided to go from NY to NJ via Washington State. It is fine for those who like long trips. It is also fine for someone else to point out that there is a much shorter way, via GW bridge.
Actually, quite simple, and could have been a 20 second video. 4/8 = 0.5, or 1/2 2x4 = 8, or 8/1 1/2 / 8/1 = 1/2 x 1/8 ( invert the denominator then multiply) = 1/16 Still, I like your videos even though I would like to see them be much more concise.
@guildguitars6349 The purpose of the video is to teach some fairly basic concepts to people, for whom they are not well understood. It is definitely preferable to explain the methodology thoroughly.
I learned this stuff in elementary school in the 60s. It took me about 10 seconds in my head. Two of my three kids (all in their 40s) got it right, my grandkids seem to be struggling. Some fault with parenting and some with the current educational system. I struggle some with english theory though...verbs, predicates, etc.
Your answer makes a lot of sense. It's just that it's been so long since I did this type of math I think it's grade five or grade six where I come from I'm Canadian and that was in the seventies when I was in those classrooms. How I got the one answered partly right for the four over eight I just figured 8/8 is one so four over eight would be half of that so that's how I got the 0.5.
Pemdas demands multiplication be solved first. If you want to use a calc then just solve the multiplication first then input 4÷8÷8. Very very easy problem.
you only really need parentheses around the numerator and denominator when you change it to an inline fraction as when it is in the multi line format you can see the grouping. but really this should have a double vinculum, it should be 4 over 8 over (2*4) you could even do 4 over 8 * 2 * 4 = 4 over 64 = 1/16
@johng.1703 It is not a universally recognized standard that only one notation for each type of operation is permitted in an expression. Your suggested formulation is valid, but so is this one.
@@Metheglyn the notation above is mathematically correct, and with it you get the answer of 1. but you do get those that don't know how to read mathematical notation and make a right pigs ear out of it and get 9.
@@johng.1703 It is, however universally recognized that a division/fraction bar creates three distinct groupings: numerator (above the bar); denominator (below the bar) and the entire fraction (both together, slightly irrelevant here) Thus, since 4:8 is placed above the bar, it is the numerator, and must be treated as a group. Likewise, 2*4 is placed below the bar, is therefore the denominator and must be treated as another group. Lastly, the first group must be divided by the last: 4/8 1/2 1 ------ = ------- = ----- 2*4 8 16
@@petersearls4443 While I fail to see how @johng.1703 got 9, the video explains how most people, who got 1, got it. It is basically by interpreting the expression strictly from left to right and the division/fraction bar as a simple, non-grouping division sign. It seems to me that @johng.1703 doesn't accepts this otherwise universally accepted convention. (that the division sign can be used together with a fraction bar) Edit: It now appears like @johng.1703 simply tried to express a predilection for fraction multiplication rather than division of fractions.
I was always good at math in school and aced problems like this. Unfortunately it's been 30+yrs since I've been in school and never really need this in real life situations. So I've become slack on these skills, so for me your videos are a refresher but to be honest the average person never uses this. That being said PEMDAS has always stuck with me. What I can't stand is the way they have changed up the way we learned these things and teach them totally different today. Then wonder why our kids are not containing the knowledge taught. It's hard to retain something pushed through in 2 days and then on to the next subject.
With the multiply divide thing. Here's what you've got to do. change the divide sign into a multiply sign, the put a 1 over the number to the right That's it. That's all you gotta do. That will sort you for OOO forever 2 / 3 * 4 2 * (1/3) * 4 It looks better on paper, but that's the idea. Now you know the order to do stuff in
66 yrs old, solved correct in my head. I have noticed how often you rely on PEMDAS and how often it lets you down. If the calculator can't solve without parentheses, then the equation is flawed.
What I know about is BODMAS not PEMDAS which stands for Brackets Of Division Multiplication Addition Subtraction, so that example you gave of 10÷2×5 should use BODMAS and stop confusing the multitude
I am 70 years old .I failed CSE maths , I failed GCE maths . I was unable to qualify for O level or A level maths.I don't understand calculator's. But I did this simple thing in my head .
This was simple, saw it while scrolling for the news, did it in my head and had to post. Lol It's 1/16 That was fun. Just turned 41 and haven't done that in a long while! Lol
Im horrible at math! But i understood the math i needed to design forms for the Federal govt in the 70's. This explanation was better than back in the 60s in math class.
So did i miss you showing how to do the problem wirh a calculator? I git the answer right by a calculator but by doing one step writing it down then doing the numerator then dividing that answer buy the first answer that i remembered. So how do i write the question in a calculator and get the right answer. People go round in circles.
If you go to the google calculator try entering it like this before hitting the evaluation key. (4÷8)÷(2*4) then hit the enter key. You will get .0625 which is 1/16.
The answer is much simpler and takes less than 1 minute, Multiply both the numerator and denominator by 8, This yields 4 in the numerator and 64 in the denominator. So we end up with 4/64. Then to simplify, divide both the numerator and denominator by 4 to get 1/16.
This is the way I remember it: 1/2 divided by 8, and then multiply the numerator by 1/8 and multiply denominator by 8/1 to get 1/16 over 1 or just 1/16.
I couldn't remember how to do the fraction part so I just changed it to a decimal of .5/8 than to make it a whole number multiplied it by 2 to get 1/16...... I don't know if that's the right way to do it though
I changed the 4÷8 as 0.5 not 1/2. He didn't explain why that 0.5 ( even though it is the same as 1 half) needed to be changed to a fraction. However I did know off the bat that the answer wasn't a whole # because of the fraction. ( im not as dumb at math as I thought I was)
I got 1/16 or 0.0625 but Google said the answer is 4 😅 Now on to the video to see why we both are wrong lol Oh no way!! So I did get it right?? There is a first for everything I guess lol
Whenever you have a fraction in the numerator, you can simplify by commutation. (4/8)/(2*4)=(1/2)/8=1/(2*8)=1/16 OR (4/8)/(2*4)=(4/2)/(8*4)=2/32=1/16 OR (4/8)/(2*4)=(4/4)/(2*8)=1/16
You don't even have to convert to fractions. I did the problem, got 0.0625 , then I could see that 0.0625 x 2 was 1.25, that told me everything I needed to know. Half of 1/8 is 1/16! Did it in my head. And I dropped out of school at 16. But I get my GED later and got some college, consider myself successful now and I'm near retirement. I don't do fractions ever, I just convert to decimal and then do the math. Much easier.
First it's correctly said that some use their calculator wrong, but later a calculator is used incorrectly, the same as in the first example, to get the wrong answer, claiming it is correct. In higher math, the "÷" indicates that the *everything* after it is treated the same as if it was the denominator of a fraction, i.e., the same as 10÷(2X5) or, written another way is 10⧸(2X5). This is why many universities are required to correct false information before students can continue with their studies. Others will disagree, but the above method is how more complex equations are evaluated, although they are often written in less ambiguous forms. The above shows that it is the less ambiguous and the only reliable approach because neither PEDMAS or PEMDAS can always be correct, and will inevitably fail.
The comment about "higher math" is not a generally recognized standard. In 'higher math', division is usually denoted with either a solidus ('/') or a fraction/division bar, which implicitly create groupings of numerator , denominator , and the entire fraction. The ISO 80000-2 standard recommends to NOT use the '÷' sign for division.
I left school at 15 with only basic knowledge of maths. I find this helpful at extending my maths understanding. Perhaps this channel is not for those who know it all already and find it simple. Thank you, I appreciate your posting.
I left school at 15 these videos really help I'm telling you I don't know what I'd do without him I wish there were around back when I did leave school and I don't know how old you but I left school a long time ago back in 78
@@ralphmelvin1046 Hello young one! I left school in 1959. I still love learning.
@@viwa did you drop out or did you graduate?
@@ralphmelvin1046 I wouldn't call it "drop out" or even graduate. Like many of my peers in the 1950's, when you turned 15 you were able to finish up school and start working and in fact most did just that. A different world .
@@ralphmelvin1046
I've always struggled
with maths, but at age
76, got it right !
Honestly ! 👍🦉
All I did was the top
line first , = 1/2,
Then the bottom line :
2 x 4 = 8 ;
Then 1/2 over 8 =1/16
Encouraging !👍😊
🇬🇧😊👍🦉⭐🌈🇬🇧
I’m 66. I got the .5/8 but didn’t know to divide at that point.
Never was good at fractions.
Got it mentally 1/16. Just easy fractions. Thanks for the fun.
4/8 / 2x 4 =?
4/8 x 8/1 =?
4 x 8 / 8 x 1 =?
32/8 = 4
1/16
4
(4/8)/(2x4)=
(1/2)/8=
(1/2)*(1/8)=
1/16
I agree 5 seconds mentally of course
60 years old and got it in seconds. 1/16 pretty straight forward when you were taught maths properly . . . Unlike how they teach today.
Through my entire math history, 3rd-8th then 9th-12th, forfeiture of Math in college, I have never received a passing grade. I have the report cards as proof. I’m hopeless. Simply put, I don’t get it. Being comfortable with numbers is an experience I’ve not had. I wonder if some of us who aren’t keen on Math are educationally equal to my Math loving friends. Algebra was so frustrating to me. Although I did a victory dance in my head each time I completed a problem, it took a very long time. I’ll hang in and attempt to get better with the instruction on this channel. I really appreciate you, Mr Math! It’s quite possible some history will be made here........or a miracle. Both seem possible. Thank you very much for taking the time to educate so well!
@kathygrosvenor7900 It is very much possible that you suffer from dyscalculia ( number blindness ). It is also very possible that you have been presented with the concepts in a way that simply didn't fit your learning modus. It is also not unlikely that your problem has been compounded by bad math teachers.Those are far too prevalent.
Glad to hear you haven't given up. Good luck with your quest.
@@kathygrosvenor7900 I was a teacher. My math methods professor said, “No one is bad at Math; they were poorly taught.” Point is that the way something is taught has to match the way the student learns, whether the student has a special need or is “gifted.”
@@Metheglyn my comment was intended to amplify yours.
@@janicelindegard6615 👍
I failed geometry in grade 10 no matter how hard I tried dear. I could learn the formulas memorize them get those written note formulas right on the test but as far as applying the formulas to the math problems then it was greek to me and I failed math with a 53 this was in grade 10 1981-82 school year.
I wish my math teachers had taught this way. Will definitely continue to follow your channel.
c) 1/16
As I could say, not exactly problem for "brute force" of calculator itself...
How do make this so long winded?
a)1
You take a long time getting there. Us oldies just do it in our heads in a few seconds.
Albeit decimal calculations are more accurate when working to 3 places etc. Obviously fractions are still relevant and mental arithmetic kicks in when you just ‘know’ your tables.
You have to remember, it's algebra. Cross top 4 divided by 4 is 1. 2 divided by 8 is 4. Invert 4 over 1, to 1 over 4. Answer is 1/4.
I had trouble in school with algebra. I had to attend summer school. The teacher there worked with me and made me finally understand algebra. 😊 I thank him for his patience and teaching skills.
Isn’t this an incorrect answer though?
@JosephWatkins-u8w Fractions are not algebra unless they are algebraic.
Thank God, he preserved me from this teacher- I got the results straight away, bur after his exlanation I felt absolut confused...🤭
The problem could also have been expressed as (4x(1/8))/(2x4). Looked at that way you could cancel out the 4 from numerator and denominator, leaving you with (1/8)/2 which is equal to 1/16.
How to make a simple sum difficult. You should be a maths teacher!!
@davidtuer5825 there is no sum.
@wades4253 a 'sum' is an arithmetic problem.
Solved in my head at the thumbnail, my answer is c) 1/16.
First, we evaluate both the numerator and the denominator as though they had explicit parentheses. 4/8 = 1 / 2. 2 * 4 = 8.
Then, calculate the fraction as a whole, 1/2 / 8 = 1/16.
1/16. I REALLY solved it on paper before you gave the answer!! I am 70 and I use your channel to try to keep my brain going strong!! 😁⭐ Thanks, Mr UA-cam Math Man!!!
I answered without paper
You can't divide 1/2 by 8 in your head !?
Thanks!
Clear notation, clear answer: 1/16.
Because(4/8)/(2*4)=(1/2)/(8)=1/16
Expressions above the long fraction line we treat it as an expression in parentheses. It is similar with the expression under the fraction line.
You can also leave the 4 up and bring the 8 down multiplied by 2 and 4, that gives you 4/64 = 1/16 (just another way to express it).
I solved it correctly in my head in 10 seconds then watched until the end and learned something. Thank you. I am not capable of dragging something out like you do though. I learn better fast
haha yup took me like 20 seconds then spotted the video was 19 1/2 minutes long - no choice had to watch what could ever take so long - wow
My answer is a = 1
@@aliciasanchez5441 took me a little longer but my thout process was the top was 1/2 and the bottom half was 8 witch is 1/16
1/16 in my head
good for y ou
In my head. One half of one eighth. EZ peasy
I should hope so.
I did as well , in about 4 seconds , I leard how in 1963 . I was 10.
@@ephraimsender876Whoopty doo!!
This teacher makes it so complicated. 4 / 8 is 1 / 2 or 1/2 inch. 1/2 inch divided by 8 is 1/16.
can you do this in centimeter please?
im new to american.
@@macbird-lt8de Unfortunately, no. But google can do it for you.
Enoch (PROPHET)
@@macbird-lt8de Just think of each number just as it is. The answer is 0.0625 now if you want to put that into mm just Google it. 0.0625 = 1/16 = x mm
@@macbird-lt8de
sure 4/8 is 1/2 cm. 1/2 divided by 8 is 1/16 cm. 😂
So answer is 0.0246 inch?
Thanks, I preferred not to use my calculator, but I did learn something here. Great explanation!
I never could get the hang of mathematical discipline. Even so, I've had a fulfilling life, worked in civil @aviation and the electricity supply industry before retraining to teach in the 1960s and have never felt the need to understand the inner workings of my mathematical mind. I am 82, retired and have a classic Jaguar, so I've fulfilled my main dreams in life. So there!
(4÷8)/(2×4) = 1/2 × 1/8 = 1/16
Thank you. Your solution is the easiest to follow.
Can also use BODMAS, I.E BRACKET OFF, DIVISION, MULTIPLICATION, ADDITION AND SUBTRACTION. IT IS THE SAME AS PEMDAS. THANKS
Where's the E (exponential) in BODMAS?
How about just thinking about one eighth of one half
Geez.......
@@chuzpah38Actually the O in BODMAS stands for order, as in x to the order of (exponent).
@@montyhall-vs3ul
Or 1/2 of 1/8!
Yes multiple and divided before adding and subtracting
1/16. Divide 1/2 into 8 parts
I’m 62 and got 1/16 as well in my head
First calculate then separate and finally multiply:
(1) 4 ÷ 8 = ½
(2) 2 × 4 = 8
(3) [(½)/1] × (⅛)
(4) = ½ × ⅛
(5) = 1/16.
That's all there is to it.
(1) 4÷8=1/2
(2) 2x4= 8
(3) 1/2÷8= 1/16
1/16
I have always been frustrated mathematician. Math, especially algebra, made no sense to me. I love watching your videos and have learned some of the math methods I missed in high school. Thanks.
Yes, how nice it is for us to be appreciative of the priceless work done by this teacher!
The first time I took algebra I made A's, but I didn't understand it. I just had a good memory and repeated what I remembered. I could see the steps from the lessons in my head. So I would repeat them and end up with a regular math problem I already knew how to solve. When I switched schools I was in big trouble, because they were ahead of us and you actually had to know what you were doing. LOL.
P.S. I eventually ended up with a degree in engineering, but that's a very long story.
4/8 ÷ 2 × 4 = 1/2 ÷ 8/1 y
1/2 ÷ 8/1 = 1/2 × 1/8 y
1/2 × 1/8 = 1/16 ✓ L.Q.Q.D.
That’s the harder way to do it you can legit just go 0.5/8 and it’s 1/16h no need for the flipping step it’s a waste of time if you can do it in your head 1/8 is legit .125 if you have a .5/8 it’s just half that which is .0625 which is a 1/16th
@@Willis_war I prefer do it "step by step" because there are a lot of people that don't understand "without STEP BY STEP". They must see and watch in order to understand THIS "STEP BY STEP"! I'm teacher and I must explain each detail!
I love your teaching cause hoenstly most teachers don’t have that much detail I’d like to say I answered the first one I also answered the 25 one I love your probs they help keep me sharp. But I must say you say pemdas I say bedmas which is the same thing but just helps me remember brackets exponents multiplication or division left to right then addition subtraction left to right
(4÷8)/(2×4)=0.5/8=(1/2)/8=(1/2)/(8/1)=(1/2)×(1/8)=1/16 simple as.
Thank you for your videos. At 70,I use them to keep my brain functioning at its best
So, written as a line, it goes: {(4/8)/(2x4)} =1/16. This way you don't have to assume the order of operations, just follow P.E.M.D.A.S. left to right paying attention to P. and the fraction bar defines its own order.
1/16. Simple mental arithmetic he said humbly.
the HP-15C was the best calculator to enter problems like this one as it allowed to calculate every parenthesis on its own before entering the final operation.
Brilliant machine.
The part that is the most confusing and the least explained is the “ implied parentheses”. Is you put parentheses around every part of a problem the order of operations is very clear. But it gets very bulky and Columbersom. In some of my mathematical formulas I add parentheses just to emphasize the order of operations to minimize errors.
Always pick (c) on multiple choice. You won’t get everything right but you will get more than a quarter. So I pick 1/16.
Whoop whoop math nerds unite! Who else was able to finish this one in their head?
I’m confused as to how you get 1 or 4.
@@jamiesargent1318Simple. Choice, not math.
In one minute.
I didn't think you could drag this out nearly as long as you did. You proved me grossly wrong. 🙄
next will be 1 hour video on 1+1
😂😂😂😂😂😂😂
1/16
You are dragging it too long. I lost interest.
I was just saying the same thing.
(4÷8) ÷ (2×4) if you use a calculater. If you do in your head as a fraction .5 over 8 =1 over 16
Also if your calculator has a memory function but not parentheses
2*4
Store in memory
4/8
Divide by number stored in memory
boom
Thought I wss crap at maths, turns out it took me all of 2 minutes to work it out in my head. Must have had better teaches than I thought back in the day!!
1/16. 4/8 = .5, 2x4 = 8. .5/8 = 5/80 = 1/16
I just fast forward to the stuff I don’t know. Also, these videos are designed to be stand alone videos so every video will contain all the information you need to solve the type of problem presented.
1/16 is the answer. Mutiplication is prioritary
Multiplication is not priority. In BODMAS, division is first; multiplication and division are the same rank. This problem can be rewritten as (4*8)/(2*4) thus adding parentheses to clarify.
Oh man. I did it in my head a completely different way and came up with the correct answer. As soon as he started explaining it my brain turned to mush. I had the same problem in school starting with prealgebra. I have Dyscalculia, also known as math dyslexia. I also have visual dyslexia. Visual dyslexia is not the same as reading dyslexia. If you make a row of pennies exceeding around 5 in a line, I can't look at them and tell how many there are. The pennies literally start moving around as I try to count them without touching them. Throw in a mild case of ADHD and it makes some things very difficult. My mother knew I had a learning disability but back in those days (the 1960s) parents didn't volunteer the fact that their children had a learning disability. The embarrassment was too much to bear.
Got it right! In my 60s, so we learned simple math in elementary school.
This is more of a semantic problem than a math problem. The PEMDAS rule needs to be modified to reflect the vinculum (horizontal dividing line).
Vinculum?
PEMDAS has already been modified for exactly that.
Another version of the acronym is GEMDAS with G for Groupings, which acknowledges that there are other grouping symbols in mathematics besides just parentheses.
@@MrSummitville You're right. I misspelled it. Correction made. No smiley face for me. :((
Don't forget roots with exponents
@@terry_willis Still that was some esoteric stuff!👍⭐
This would be a lot less confusing if you didn’t show all of the ways not to do it.
Just remember PEMDAS & left to right. It's that easy.
Simply this could be solved as a fraction by making every digit as a fraction 4/1 x 1/8 x 1/2x 1/4 meaning 4 crosses 4 = 1/16
In HS I was pretty good at algebra some 20 + yrs ago. Not so much now. Thank you for challenging and improving my math skills.
As an 80 year old I got 1/16 without a calculator!
Didn’t need a calculator. Did it in my head.
Me too!
1
1/16 is the right answer.
What practical use is this?
Order of operations. You have to fugure out your numerator and denominator first and you get 0.5/8 then you divide again to get 1/16.
The level of mathematics literacy is unbelievably low in the United States
Good one
But at least we can play bathabaw
D) 4
You seem like a good math teacher but I wish you would just get to the point, You talk too much.
ditto
Yes. I would hate to have him as a math teacher.
I don't remember learning PEMDAS that way. I was taught to find the next one according to the letter. No matter which one was first.
Though we can do division before multiplication and subtraction before addition
Ex 2*3÷6=2÷6*3=1
Ex 2+4-1=2-1+4=5
Why did it take you 20 minutes to figure it out? It took me 10 seconds to do it mentally.
10 seconds? It took me 2 seconds. 20 minutes - duh!
Congratulations!
According to your comment, you are extraordinarily smart in Math, right!
However, it is so sad that before you developed brains for Mathematics, you haven’t acquired the basic wholesome human qualities for you to be able to live with the other fellow-beings in harmony.
Before doing Mathematics or whatever, we should be wise enough to have compassion, empathy, generosity, etc., towards others.
So, please don’t be impatient and brag about your ability to do in 10 seconds.
This teacher is teaching to the majority of normal people like us.
@@chrisdissanayake6979 the majority of normal people like you (and me too since this is 3rd grade math) would have understood it much faster and easier if it was taught the easy and simple way. No need for needless verbose and confusing methods. People who use these techniques try to impress us because they don't impress their own selves.
@@sophie9843 Who are we to criticize the teacher ?
It is like going into his house and demanding him to do things the way we want. That is rude.
He has his freedom to teach in his own teaching style.
If we do not like the way he teaches, we better start our own channel and teach in our way.
@@chrisdissanayake6979 who are WE to criticize the teacher? We are the people who should question anyone and anything, especially those who cultivate our minds and/or shape up our future. There is a special word for those who do not question anything that comes from a higher ranking whatever that ranking may be (academia, political, medical, social, ...) and the word is: herd. This teacher decided to go from NY to NJ via Washington State. It is fine for those who like long trips. It is also fine for someone else to point out that there is a much shorter way, via GW bridge.
Actually, quite simple, and could have been a 20 second video.
4/8 = 0.5, or 1/2
2x4 = 8, or 8/1
1/2 / 8/1 = 1/2 x 1/8 ( invert the denominator then multiply)
= 1/16
Still, I like your videos even though I would like to see them be much more concise.
@guildguitars6349 The purpose of the video is to teach some fairly basic concepts to people, for whom they are not well understood. It is definitely preferable to explain the methodology thoroughly.
i tried to say 4 😂
😮😮
Me too.
I went with 4 as well, then I saw the formula and got a headache 😊
I learned this stuff in elementary school in the 60s. It took me about 10 seconds in my head. Two of my three kids (all in their 40s) got it right, my grandkids seem to be struggling. Some fault with parenting and some with the current educational system. I struggle some with english theory though...verbs, predicates, etc.
1/16. Did NOT use an electronic calculator...I used my "natural calculator". It's approaching 3 score. I paid attention in math class.
Your answer makes a lot of sense. It's just that it's been so long since I did this type of math I think it's grade five or grade six where I come from I'm Canadian and that was in the seventies when I was in those classrooms. How I got the one answered partly right for the four over eight I just figured 8/8 is one so four over eight would be half of that so that's how I got the 0.5.
Pemdas demands multiplication be solved first. If you want to use a calc then just solve the multiplication first then input 4÷8÷8. Very very easy problem.
you only really need parentheses around the numerator and denominator when you change it to an inline fraction as when it is in the multi line format you can see the grouping.
but really this should have a double vinculum, it should be 4 over 8 over (2*4) you could even do 4 over 8 * 2 * 4 = 4 over 64 = 1/16
@johng.1703 It is not a universally recognized standard that only one notation for each type of operation is permitted in an expression. Your suggested formulation is valid, but so is this one.
@@Metheglyn the notation above is mathematically correct, and with it you get the answer of 1. but you do get those that don't know how to read mathematical notation and make a right pigs ear out of it and get 9.
@@johng.1703 It is, however universally recognized that a division/fraction bar creates three distinct groupings: numerator (above the bar); denominator (below the bar) and the entire fraction (both together, slightly irrelevant here)
Thus, since 4:8 is placed above the bar, it is the numerator, and must be treated as a group. Likewise, 2*4 is placed below the bar, is therefore the denominator and must be treated as another group. Lastly, the first group must be divided by the last:
4/8 1/2 1
------ = ------- = -----
2*4 8 16
@@johng.1703I think you may be responding to a different problem. Neither 1 nor 9 could be a possible answer with this one.
@@petersearls4443 While I fail to see how @johng.1703 got 9, the video explains how most people, who got 1, got it. It is basically by interpreting the expression strictly from left to right and the division/fraction bar as a simple, non-grouping division sign.
It seems to me that @johng.1703 doesn't accepts this otherwise universally accepted convention. (that the division sign can be used together with a fraction bar)
Edit: It now appears like @johng.1703 simply tried to express a predilection for fraction multiplication rather than division of fractions.
其實 按數學常理逐步上下左右計算（當然如有括弧內的數字優先處理）便是所要的正確答案 毋須口水多過茶 化簡為繁😵💫
I was always good at math in school and aced problems like this. Unfortunately it's been 30+yrs since I've been in school and never really need this in real life situations. So I've become slack on these skills, so for me your videos are a refresher but to be honest the average person never uses this. That being said PEMDAS has always stuck with me. What I can't stand is the way they have changed up the way we learned these things and teach them totally different today. Then wonder why our kids are not containing the knowledge taught. It's hard to retain something pushed through in 2 days and then on to the next subject.
With the multiply divide thing. Here's what you've got to do. change the divide sign into a multiply sign, the put a 1 over the number to the right
That's it. That's all you gotta do. That will sort you for OOO forever
2 / 3 * 4
2 * (1/3) * 4
It looks better on paper, but that's the idea. Now you know the order to do stuff in
66 yrs old, solved correct in my head. I have noticed how often you rely on PEMDAS and how often it lets you down. If the calculator can't solve without parentheses, then the equation is flawed.
1/16 made it in my head. But it is because I read a lot of math right now.
What I know about is BODMAS not PEMDAS which stands for Brackets Of Division Multiplication Addition Subtraction, so that example you gave of 10÷2×5 should use BODMAS and stop confusing the multitude
I am 70 years old .I failed CSE maths , I failed GCE maths . I was unable to qualify for O level or A level maths.I don't understand calculator's. But I did this simple thing in my head .
Took about 10 seconds to work out mentally. That’s the advantage of being educated in maths in the 60s/70s
Sometimes the old ways were pretty good.
This was simple, saw it while scrolling for the news, did it in my head and had to post. Lol
It's 1/16
That was fun. Just turned 41 and haven't done that in a long while! Lol
Ontario Canada - we learned BEDMAS ( brackets, exponents, division, multiplication , addition. Subtraction
Im horrible at math! But i understood the math i needed to design forms for the Federal govt in the 70's. This explanation was better than back in the 60s in math class.
So did i miss you showing how to do the problem wirh a calculator? I git the answer right by a calculator but by doing one step writing it down then doing the numerator then dividing that answer buy the first answer that i remembered. So how do i write the question in a calculator and get the right answer. People go round in circles.
If you go to the google calculator try entering it like this before hitting the evaluation key.
(4÷8)÷(2*4) then hit the enter key. You will get .0625 which is 1/16.
The answer is much simpler and takes less than 1 minute, Multiply both the numerator and denominator by 8, This yields 4 in the numerator and 64 in the denominator. So we end up with 4/64. Then to simplify, divide both the numerator and denominator by 4 to get 1/16.
I did those a different way in my head getty the same answer. This being 4 divided by 4 is 1 and 2 times 8 is 16 there foreign the answer is 1/16
I flipped the 8 and 4 from the beginning and got that answer is that also a right way?
This is the way I remember it: 1/2 divided by 8, and then multiply the numerator by 1/8 and multiply denominator by 8/1 to get 1/16 over 1 or just 1/16.
I couldn't remember how to do the fraction part so I just changed it to a decimal of .5/8 than to make it a whole number multiplied it by 2 to get 1/16...... I don't know if that's the right way to do it though
I changed the 4÷8 as 0.5 not 1/2. He didn't explain why that 0.5 ( even though it is the same as 1 half) needed to be changed to a fraction. However I did know off the bat that the answer wasn't a whole # because of the fraction. ( im not as dumb at math as I thought I was)
I got 1/16 or 0.0625 but Google said the answer is 4 😅
Now on to the video to see why we both are wrong lol
Oh no way!! So I did get it right?? There is a first for everything I guess lol
C..calculator would get wrong answer inputted as shown
Imagine parenthesis around the numbers above the dividing line and parenthesis around numbers below the dividing line.
i got 1/16. no calculator. 76 years old. We weren’t allowed to use calculators. We had to do everything in our minds.
WOW. INTERESTING THANK YOU
C 2x4=8, 4÷8 =.5, 8x1/16 = 8/16, which is the numerator
The answer is 1/16
I hope you do a problem where one car starts in LA another starts in Dallas. Both leave at etc.
Yaay Finally understand PEMDAS 🎉😂
Whenever you have a fraction in the numerator, you can simplify by commutation.
(4/8)/(2*4)=(1/2)/8=1/(2*8)=1/16 OR
(4/8)/(2*4)=(4/2)/(8*4)=2/32=1/16 OR
(4/8)/(2*4)=(4/4)/(2*8)=1/16
That took forever. Are you an istj?
You don't even have to convert to fractions. I did the problem, got 0.0625 , then I could see that 0.0625 x 2 was 1.25, that told me everything I needed to know. Half of 1/8 is 1/16! Did it in my head. And I dropped out of school at 16. But I get my GED later and got some college, consider myself successful now and I'm near retirement. I don't do fractions ever, I just convert to decimal and then do the math. Much easier.
I started by cancelling 4 and 8, I got 1 over 2
Secondly I multiply 2 by 4 ,got8. Thirdly, 1over 2 multiply by 8 is =4(answer)
First it's correctly said that some use their calculator wrong, but later a calculator is used incorrectly, the same as in the first example, to get the wrong answer, claiming it is correct.
In higher math, the "÷" indicates that the *everything* after it is treated the same as if it was the denominator of a fraction, i.e., the same as 10÷(2X5) or, written another way is 10⧸(2X5). This is why many universities are required to correct false information before students can continue with their studies.
Others will disagree, but the above method is how more complex equations are evaluated, although they are often written in less ambiguous forms. The above shows that it is the less ambiguous and the only reliable approach because neither PEDMAS or PEMDAS can always be correct, and will inevitably fail.
The comment about "higher math" is not a generally recognized standard.
In 'higher math', division is usually denoted with either a solidus ('/') or a fraction/division bar, which implicitly create groupings of numerator , denominator , and the entire fraction.
The ISO 80000-2 standard recommends to NOT use the '÷' sign for division.
@@Metheglyn I hadn't checked the ISO 80000-2 standard. Thanks.
0:19 0.5 ÷ 8=1/16
I did buy some algebra videos before college and was good in math. I say C is the answer
Thank. You this is how I learned math.