What is the simplified form of the expression? 12[5^2 ÷ (5^2 - 4^2) +4]
1 answer:
Answer:
81 1/3 . . . . . (none of the offered choices is appropriate)
Step-by-step 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
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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.
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