Order of operations -- help me

Anonymous
5th grade math:

"simplify the expression below" (I'm using a "^" to show an exponent b/c I don't know how to do the superscript font)

1. 6^2 - 4* (7-4)
I thought it would be 36-4 * (7-4) ----> 32 x 3


2. 5^2 - 4* (5-3)
I thought ti would be 25 - 4 x (2) ----- 21 x 2 = 42
But DC got it wrong. The other options for answers were (a) 2, (b) 8, or (c) 17.

Help.

???
Anonymous
Anonymous wrote:

1. 6^2 - 4* (7-4)
I thought it would be 36-4 * (7-4) ----> 32 x 3


It's 36 - 4(3) = 36 - 12 = 14
Anonymous
Anonymous wrote:

2. 5^2 - 4* (5-3)
I thought ti would be 25 - 4 x (2) ----- 21 x 2 = 42
But DC got it wrong. The other options for answers were (a) 2, (b) 8, or (c) 17.


25 - 4(2) = 25 - 8 = 17

You multiply before you do the subtraction.
Anonymous
2 is c
Anonymous
My dear aunt sally == (multiply, divide) then (add, subtract)

#1 is:

(6^2) - (4 * (7 - 4))
36 - (4 * (7 - 4))
36 - (4 * 3)
36 - 12
24


Anonymous
OP here, Does it matter in (1) that the 4 is not right next to the parenthesis? It's not 6^2 - 4(7-4). It was clearly written with a multiplication sign b/t the 4 and the parenthetical. I would have done it like 21:37 wrote if it had been 4(7-4). It's a bit confusing.
Anonymous
Solve the parentheses first. Then do the multiplication. Then do the subtraction.
So it would be 6^2-4(3)=36-12=24

Next one is 5^2-4(2)=5^2-8=25-8=17
Anonymous
Anonymous wrote:5th grade math:

"simplify the expression below" (I'm using a "^" to show an exponent b/c I don't know how to do the superscript font)

1. 6^2 - 4* (7-4)
I thought it would be 36-4 * (7-4) ----> 32 x 3


2. 5^2 - 4* (5-3)
I thought ti would be 25 - 4 x (2) ----- 21 x 2 = 42
But DC got it wrong. The other options for answers were (a) 2, (b) 8, or (c) 17.

Help.

???


The mistake you made was subtracting before multiplying - in both problems.
First problem - start with the parenthesis. Now, you have 6(squared) - 4 *3.
Now, do the exponent. Now, you have 36 - 4 * 3.
NOW, you multiply first because multiplication comes before subtraction. 36 - 12
The PEMDAS helps, but if you have BOTH addition and subtraction in a problem or BOTH multiplication and division in a problem, then you do the arithmetic from left to right.
Anonymous
Anonymous wrote:OP here, Does it matter in (1) that the 4 is not right next to the parenthesis? It's not 6^2 - 4(7-4). It was clearly written with a multiplication sign b/t the 4 and the parenthetical. I would have done it like 21:37 wrote if it had been 4(7-4). It's a bit confusing.


It doesn't matter. It's exactly the same. 4(7-2) is exactly the same as 4x(7-2).
Anonymous
Anonymous wrote:OP here, Does it matter in (1) that the 4 is not right next to the parenthesis? It's not 6^2 - 4(7-4). It was clearly written with a multiplication sign b/t the 4 and the parenthetical. I would have done it like 21:37 wrote if it had been 4(7-4). It's a bit confusing.


No that does not matter. Putting the number next to the parenthesis is just shorthand for multiply. The multiplication symbol (asterisk, x, etc.) is optional.
Anonymous
Thanks for all of the help.

Are you smarter than a 5th grader -- for some of you -- yes! For me, no!
Anonymous
Anonymous wrote:OP here, Does it matter in (1) that the 4 is not right next to the parenthesis? It's not 6^2 - 4(7-4). It was clearly written with a multiplication sign b/t the 4 and the parenthetical. I would have done it like 21:37 wrote if it had been 4(7-4). It's a bit confusing.


No, both mean to multiply - whether there is a multiplication sign or if the number is directly outside the parenthesis. Generally, kids do not start learning 4(3-1) until 5th or 6th grade or so. Up until then, they use the multiplication sign.
Anonymous
Anonymous wrote:Thanks for all of the help.

Are you smarter than a 5th grader -- for some of you -- yes! For me, no!


OP, don't feel bad, you sound like my mom, she is very smart, has a degree in philosophy, reads book I cannot even understand the title of, but does not understand math at all, she can barely add and subtract. it does not mean she is not smart. I never let her help me with math though, even in elementary school it was clear to me that I was better off doing it by myself
Anonymous
straightforward:

http://lmgtfy.com/?q=order+of+operations
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