The only reason I leave a comment besides the answer is that fractions are treated as a whole rather than standard division. There are missing parentheses that are understood to be there. (-3/4) - (1/5) / (2/3) * (-1/2) (-3/4) - (1/5) * (3/2) * (-1/2) (-3/4) - (3/10) * (-1/2) (-3/4) - (-3/20) (-3/4) * (5/5) + (3/20) (-15/20) + (3/20) (-12/20) -3/5 Just to make sure, let me do the math on the decimals… -0.75 - 0.20 * 1.5 * -0.50 -0.75 - 0.30 * -0.50 -0.75 + 0.15 -0.60 = -3/5 Yep.
If, according to John, you do not subtract but instead add a negative, how do I add negative 2 apples from the three apples I have? I guess I'm adding anti-apples to my hoard.
According to physics, the resulting apple/anti-apple reaction would leave you one regular apple (and probably some radiation burns). So it still works.
The entire point is to teach what it means WITHOUT parentheses. Adding parentheses would defeat the object. We use precedence in mathematical notation to avoid the need for parentheses all no over the place ALL THE TIME. It's absolutely elementary, fundamental stuff.
Order of operations has nothing to do with math. It’s simply a test to see if you can mindlessly follow a set of instructions. This type of ruse is anathema to math. It is used in entrance exams for all types of employment to weed out those who may not obey without question or may not follow the rules. No person skilled in math would ever write an expression like this. Math is not about interpreting someone’s mad scribbles.
The only aspect of "order of operations" that's relevant here is that multiplicative operations have higher precedence than additive operations. That has EVERYTHING to do with math. It is ubiquitous, and absolutely fundamental to the way math is written.
There is not a real-world problem. Why rely on easily forgotten precedence rules when you can disambiguate the problem forever by using parentheses. This kind of post is simply nonsense.
Because the precedence rules are the absolute foundation of how mathematics is written in the real world. The purpose of this video is not to discover what this particular expression evaluates to. That's not important. The purpose is to teach the basic grammar of mathematical notation - in this instance, that multiplicative operations have higher precedence than additive operations. That's extremely important. A lot of people don't understand that. Possibly because some teachers don't seem to understand it either.
Could you please post videos without the clickbait stuff in the video thumbnail please? I like the videos but I absolutely hate clickbait. You know what, I'm out. Unsubscribed.
(-3/5) Thanks to Mrs. Kolababa in 1966. ❤🎉
The only reason I leave a comment besides the answer is that fractions are treated as a whole rather than standard division. There are missing parentheses that are understood to be there.
(-3/4) - (1/5) / (2/3) * (-1/2)
(-3/4) - (1/5) * (3/2) * (-1/2)
(-3/4) - (3/10) * (-1/2)
(-3/4) - (-3/20)
(-3/4) * (5/5) + (3/20)
(-15/20) + (3/20)
(-12/20)
-3/5
Just to make sure, let me do the math on the decimals…
-0.75 - 0.20 * 1.5 * -0.50
-0.75 - 0.30 * -0.50
-0.75 + 0.15
-0.60 = -3/5
Yep.
rewritten
(-3/4)-(1/5)÷(2/3)×(-1/2)
becomes
(-3/4)-((1/5)×(3/2)×(-1/2))
or
(-3/4)-((1/5)(3/2)(-1/2))
(-3/4)-(-3/20)
(-15/20)+(3/20)
(-12/20)
-6/10
-3/5
I STRUGGLED FOR UNKNOWN REASONS
Thank you! That is how we have learned it; no confusion and no nonsense acronyms to remember.
1/5 ÷ 2/3 = 1/5 · 3/2 = 3/10; 3/10 · (-1/2) = -3/20; -3/4 - (-3/20) = -15/20 + 3/20 = -12/20 = -3/5.
If, according to John, you do not subtract but instead add a negative, how do I add negative 2 apples from the three apples I have? I guess I'm adding anti-apples to my hoard.
According to physics, the resulting apple/anti-apple reaction would leave you one regular apple (and probably some radiation burns). So it still works.
-2 + 3 = 1 3 - 2 = 1
How do you go about learning these things as an adult?
Check the video description and click the links to get more info.
= - 3/5 a lovely tiny little problem with a nice little stick of dynamite lol
Hey DF .... put some brackets in there so that people can see what you are asking
The entire point is to teach what it means WITHOUT parentheses. Adding parentheses would defeat the object.
We use precedence in mathematical notation to avoid the need for parentheses all no over the place ALL THE TIME. It's absolutely elementary, fundamental stuff.
-3/5
Order of operations has nothing to do with math. It’s simply a test to see if you can mindlessly follow a set of instructions. This type of ruse is anathema to math. It is used in entrance exams for all types of employment to weed out those who may not obey without question or may not follow the rules. No person skilled in math would ever write an expression like this.
Math is not about interpreting someone’s mad scribbles.
🤦♂ Your claim that the “order of operations has nothing to do with math” is utterly ridiculous. Your comment reads as a self-aggrandizing rant.
The only aspect of "order of operations" that's relevant here is that multiplicative operations have higher precedence than additive operations.
That has EVERYTHING to do with math. It is ubiquitous, and absolutely fundamental to the way math is written.
There is not a real-world problem. Why rely on easily forgotten precedence rules when you can disambiguate the problem forever by using parentheses. This kind of post is simply nonsense.
Because the precedence rules are the absolute foundation of how mathematics is written in the real world.
The purpose of this video is not to discover what this particular expression evaluates to. That's not important.
The purpose is to teach the basic grammar of mathematical notation - in this instance, that multiplicative operations have higher precedence than additive operations. That's extremely important.
A lot of people don't understand that. Possibly because some teachers don't seem to understand it either.
Easy
Why don’t you stick to the parentheses to keep it clear for all at all times. If the rate of failure is that high, then your system is wrong.
Just because he emblazons "MANY WILL GET WRONG!" and similar nonsense all over his videos, that doesn't mean it's true.
typical public school teacher. teach rules instead of teaching understanding.
Could you please post videos without the clickbait stuff in the video thumbnail please? I like the videos but I absolutely hate clickbait. You know what, I'm out. Unsubscribed.
-3/5