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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. ??? |
It's 36 - 4(3) = 36 - 12 = 14 |
25 - 4(2) = 25 - 8 = 17 You multiply before you do the subtraction. |
| 2 is c |
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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 |
| 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. |
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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 |
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. |
It doesn't matter. It's exactly the same. 4(7-2) is exactly the same as 4x(7-2). |
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. |
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Thanks for all of the help.
Are you smarter than a 5th grader -- for some of you -- yes! For me, no! |
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. |
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
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straightforward:
http://lmgtfy.com/?q=order+of+operations |