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What is the simplified form of the expression? 12[5^2 ÷ (5^2 - 4^2) +4]

A. 96
B. 16
C. 148
D. 48

User Golja
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1 Answer

7 votes

Answer:

81 1/3 . . . . . (none of the offered choices is appropriate)

Explanation:

According to the order of operations, expressions inside parentheses are evaluated first.

= 12[5^2 ÷ (25 -16) +4]

= 12[5^2 ÷ 9 + 4]

Exponentials are evaluated before multiplication or division.

= 12[25 ÷ 9 + 4]

Division is performed before addition

= 12[(2 7/9) +4]

= 12[6 7/9]

And finally, the multiplication is performed

= 72 +84/9 = 72 +9 1/3

= 81 1/3

_____

A Google search box can be relied upon to apply the order of operations when evaluating an arithmetic expression.

== == == == ==

If the problem is ...

... 12[6^2 ÷ (25 -16) +4]

then the result is A. 96.

What is the simplified form of the expression? 12[5^2 ÷ (5^2 - 4^2) +4] A. 96 B. 16 C-example-1
User Oazabir
by
5.4k points