The answer is 1, but the logic you’ve used to get there is a little off. Different groups actually follow different logic, but they usually arrive at the same end-point.
The American Mathematical Society goes:
Brackets
Indices
Multiplication indicated by juxtaposition
Regular multiplication and division
Addition and subtraction
While the American Physical Society does
Brackets
Indices
Multiplication
Division
Addition and subtraction
In both cases, addition and subtraction are equal in priority (this solves the problem brought up by a different comment where following primary school BIDMAS would mean 8-4+2=2). In one case (and this is the way I prefer to do it) they solve the problem by declaring that implicit multiplication is done before division, but explicit multiplication with the × sign follows the same rules you would have learnt in primary school. The other says all multiplication is done before division, including explicit multiplication.
The comment from subignition explains that the phone’s answer, 16, is what you get by strictly following PEMDAS: the rule is that multiplication and division have the same precedence, and you evaluate them from left-to-right.
The calculator uses a different convention where either multiplication has higher priority than division, or where “implicit” multiplication has higher priority (where there is no multiply sign between adjacent expressions).
The parentheses step only covers expressions inside parentheses. That’s 2 + 2 in this case. The times-2 part is outside the parentheses so it’s evaluated in a different step.
The rule really isn’t that old. However, the rule also places multiplication and division at the same level, processed left to right.
What the rule doesn’t cover is implicit multiplication. The 2(2+2) are stuck together by implicit multiplication, thus you do that before the division, even though the division is to the left.
If you replace (2+2) with x and divide by 2x, it makes much more sense.
Also, if you put an explicit multiplication into the calculator, then it will give 16.
PEMDAS
Parenthesis, exponents, multiplication, division, addition, subtraction.
The rule is much older than me and they taught it in school. Nothing ambiguous about it, homie. The phone app is fucked up. Calculator nailed it.
Left to right. If you’re following ALL of the rules of PEMDAS then the answer is 16
Multiplication before division bro.
The division goes last.
Answer is 1.
The answer is 1, but the logic you’ve used to get there is a little off. Different groups actually follow different logic, but they usually arrive at the same end-point.
The American Mathematical Society goes:
While the American Physical Society does
In both cases, addition and subtraction are equal in priority (this solves the problem brought up by a different comment where following primary school BIDMAS would mean 8-4+2=2). In one case (and this is the way I prefer to do it) they solve the problem by declaring that implicit multiplication is done before division, but explicit multiplication with the × sign follows the same rules you would have learnt in primary school. The other says all multiplication is done before division, including explicit multiplication.
It’s never that - that’s how people are getting the wrong answer. In high school you get taught about The Distributive Law.
Multiplication and division have the same priority, whichever one comes first LTR is the one that gets resolved first, so it’s (8 / 2) * 4
It’s 8/2(2+2)=8/(4+4) or 8/2(2+2)=8/2(4)=8/(2x4)
By that logic: 8-2+4=2
Of course, it could be kind of ambiguous, but typical convention gives multiplication/division the same priority, as it does addition/subtraction.
And in general, you need to go left to right when dealing with division and subtraction, if other operations have the same priority.
Right answer but wrong reason. It’s because distribution comes first
…1. If you got 16 then there’s one or more rules that you didn’t obey.
The comment from subignition explains that the phone’s answer, 16, is what you get by strictly following PEMDAS: the rule is that multiplication and division have the same precedence, and you evaluate them from left-to-right.
The calculator uses a different convention where either multiplication has higher priority than division, or where “implicit” multiplication has higher priority (where there is no multiply sign between adjacent expressions).
But explicit multiplication is part of the parenthesis, so still comes before division or exponent
The parentheses step only covers expressions inside parentheses. That’s 2 + 2 in this case. The times-2 part is outside the parentheses so it’s evaluated in a different step.
No, it doesn’t
except 1 is what you get from strictly following PEMDAS. If you got 16 then you missed one of more rules.
Go back and read your link again. You’ll find they’re obeying The Distributive Law. i.e. solve all brackets first, from inner-most out.
There’s no such thing as implicit multiplication
i know about pemdas and also my brother in christ half the people in the comments are saying the phone app is right lmao
edit: my first answer was 16
The rule really isn’t that old. However, the rule also places multiplication and division at the same level, processed left to right.
What the rule doesn’t cover is implicit multiplication. The 2(2+2) are stuck together by implicit multiplication, thus you do that before the division, even though the division is to the left.
If you replace (2+2) with x and divide by 2x, it makes much more sense.
Also, if you put an explicit multiplication into the calculator, then it will give 16.