Question

Where would parenthesis need to be placed in the expression to get a value of 44?

(A) 2+3^2×(5−3)


(B) 2+(3^2×5)−3


(C) (2+3^2)×5−3


(D) (2+3)^2×5−3

Answer 1

B. 2 + (3^2 * 5) - 3

Explanation:

Hey! Sorry for the long wait, I'm still in school and can't really be here 24/7 but I'm proud to announce that I have your answer!

So we have 4 expressions and we need to get our answer to 44. This question already includes the notion that parenthesis placements make a huge difference, so let's review them.

A.

2 + 3^2 * (5 - 3)

Use PEMDAS

2 + 3^2 * 2

2 + 9 * 2

2 + 18

20

B.

2 + (3^2 * 5) - 3

2 + (9 * 5) - 3

2 + 45 - 3

47 - 3

44

C.

(2 + 3^2) * 5 - 3

(2 + 9) * 5 - 3

11 * 5 - 3

55 - 3

52

D.

(2 + 3)^2 * 5 - 3

(5)^2 * 5 - 3

25 * 5 - 3

125 - 3

122

As we can see, B. is our answer due to its equivlance to 44.