Saw it posted on Instagram or Facebook or somewhere and all of the top comments were saying 1. Any comment saying 16 had tons of comments ironically telling that person to go back to first grade and calling them stupid.
At this point, you solve it left to right because division and multiplication are on the same level. BODMAS and PEMDAS were created by teachers to make it easier to remember, but ultimately, they are on the same level, meaning you solve it left-to-right, so…
But that’s not the same thing as 8÷2(2+2). 2x(2+2) is 2 Terms, 2(2+2) is 1 Term. 8÷2×(2+2)=16 ((2+2) is in the numerator), 8÷2(2+2)=1 (2(2+2) is in the denominator)
And both you and people arguing that it’s 1 would be wrong.
This problem is stated ambiguously and implied multiplication sign between 2 and ( is often interpreted as having priority. This is all matter of convention.
I see what you’re getting at but the issue isn’t really the assumed multiplication symbol and it’s priority. It’s the fact that when there is implicit multiplication present in an algebraic expression, and really best practice for any math above algebra, you should never use the ‘÷’ symbol. You need to represent the division as a numerator and denominator which gets rid of any ambiguity since the problem will explicitly show whether (2+2) is modifying the numerator or denominator. Honestly after 7th grade I can’t say I ever saw a ‘÷’ being used and I guess this is why.
There is another example where the pemdas is even better covered than a simple parenthetical multiplication, but the answer there is the same: It’s the arbitrary syntax, not the math rules.
You guys are both correct. It’s 16 and the problem is a syntax that implies a wrong order of operations. The syntax isn’t wrong, either, just implicative in your example and seemingly arbitrary in the other example I wish I remembered.
8÷2(2+2) comes out to 16, not 1.
Saw it posted on Instagram or Facebook or somewhere and all of the top comments were saying 1. Any comment saying 16 had tons of comments ironically telling that person to go back to first grade and calling them stupid.
Let’s see.
8÷2×(2+2) = 8÷2×4
At this point, you solve it left to right because division and multiplication are on the same level. BODMAS and PEMDAS were created by teachers to make it easier to remember, but ultimately, they are on the same level, meaning you solve it left-to-right, so…
8÷2×4 = 4×4 = 16.
So yes, it does equal 16.
But that’s not the same thing as 8÷2(2+2). 2x(2+2) is 2 Terms, 2(2+2) is 1 Term. 8÷2×(2+2)=16 ((2+2) is in the numerator), 8÷2(2+2)=1 (2(2+2) is in the denominator)
No, 2+2 = 🐟 so it would be 8÷2🐟 and since 🐟 is no longer a number it becomes 4🐟. So the answer is 4 fishes.
It’s still a pronumeral though, equal to 4, so the answer is still 8÷8=1.
Great explainer on the subject: https://youtu.be/lLCDca6dYpA?si=gUJlQJgfDxi-n_Y6
And a follow up on how calculators actually implement this inconsistently: https://youtu.be/4x-BcYCiKCk?si=g5pqwXvBqSS8Q5fX
Here is an alternative Piped link(s):
https://piped.video/lLCDca6dYpA?si=gUJlQJgfDxi-n_Y6
https://piped.video/4x-BcYCiKCk?si=g5pqwXvBqSS8Q5fX
Piped is a privacy-respecting open-source alternative frontend to YouTube.
I’m open-source; check me out at GitHub.
Both of those Youtubes debunked in this thread.
Math should be taught with postfix notation and this wouldn’t be an issue. It turns your expression into this.
8 2 ÷ 2 2 + ×
It already isn’t an issue if people just follow all the rules of Maths.
2(4) is not exactly same as 2x4.
Correct! It’s exactly the same as (2x4).
No. No. You choose to be ignorant.
Ummm, I was agreeing with you??
Anyways, I’m a Maths teacher who has taught this topic many times - what would I know?
And both you and people arguing that it’s 1 would be wrong.
This problem is stated ambiguously and implied multiplication sign between 2 and ( is often interpreted as having priority. This is all matter of convention.
I see what you’re getting at but the issue isn’t really the assumed multiplication symbol and it’s priority. It’s the fact that when there is implicit multiplication present in an algebraic expression, and really best practice for any math above algebra, you should never use the ‘÷’ symbol. You need to represent the division as a numerator and denominator which gets rid of any ambiguity since the problem will explicitly show whether (2+2) is modifying the numerator or denominator. Honestly after 7th grade I can’t say I ever saw a ‘÷’ being used and I guess this is why.
That said, I’ll die on a hill that this is 16.
There is another example where the pemdas is even better covered than a simple parenthetical multiplication, but the answer there is the same: It’s the arbitrary syntax, not the math rules.
You guys are both correct. It’s 16 and the problem is a syntax that implies a wrong order of operations. The syntax isn’t wrong, either, just implicative in your example and seemingly arbitrary in the other example I wish I remembered.
If it involves Maths, then it’s Maths rules.
It’s 1
Do you not understand that syntax is its own set of rules?
Yes, the rules of Maths, as I was already saying. I’m a Maths teacher. I take it you didn’t read the link then.
Precedence is the term usually used for this (at least anywhere where computers have to parse expressions)
Rest in peace
No, they’re correct Order of operations thread index
It’s not ambiguous, there’s no such thing as implicit multiplication
…following the rules of Maths.
deleted by creator
No, it’s 1, and only 1. Order of operations thread index
P.S. this is Year 7 Maths, not Year 1.