What is the exact value of the following mathematical expression? \frac{10 - (-2)}{3} + 4^… — Armed Services Vocational Aptitude Battery (ASVAB)

What is the exact value of the following mathematical expression?

\frac{10 - (-2)}{3} + 4^2

Cevap: 20

The correct value is 20.

The expression is correctly evaluated by first simplifying the numerator grouping

10 - (-2)

to get

12

, dividing by

3

to obtain

4

, evaluating the exponent

4^2

to get

16

, and finally adding the results together to reach

20

Simplify the grouping symbol formed by the numerator.

10 - (-2) = 12

The numerator of a fraction acts as a grouping symbol and must be evaluated first.

Divide the simplified numerator by the denominator.

\frac{12}{3} = 4

The fraction bar represents division, which should be completed before addition.

Evaluate the exponent.

4^2 = 16

According to the order of operations, exponents must be evaluated before addition.

Add the remaining values.

4 + 16 = 20

Addition is the final operation left in the expression.

Order of Operations with fractions and signed numbers

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