12 - (-9) + 2 ( 16 + 2 ^2) Evaluate each expression

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27-10-2022
Mathematics

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12 - (-9) + 2 ( 16 + 2 ^2) Evaluate each expression

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NimahC662010 NimahC662010 · Answer 1 · 2022-10-27T08:45:50-04:00

It is required to evaluate the expression:

[tex]12-(-9)+2(16+2^2)[/tex]

Recall that the order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).

Hence, evaluate the expression in parentheses first:

[tex]=12-(-9)+2(16+4)=12-(-9)+2(20)[/tex]

Since there are no exponents in the remaining expression, the next operation is multiplication, noting that the product of two negative signs is a positive sign:

[tex]=12+9+40[/tex]

There is no division, so add the numbers:

[tex]=61[/tex]

The answer is 61.