What is the value of the expression 3 \times (4^2 - 10) - 5 \times |-2|? — ACT

What is the value of the expression $3 \times (4^2 - 10) - 5 \times |-2|$ ?

Answer: 8

The correct value of the expression is 8.

Evaluating the expression following the order of operations (parentheses, exponents, multiplication/division, and addition/subtraction) results in 8.

Evaluate the exponent inside the parentheses

4^2 = 16

Exponents must be evaluated before basic arithmetic operations inside parentheses.

Subtract the numbers within the parentheses

16 - 10 = 6

Operations enclosed in parentheses are prioritized first.

Evaluate the absolute value term

|-2| = 2

The absolute value of a negative number is its positive distance from zero.

Perform the multiplications from left to right

3 \times 6 = 18

and

5 \times 2 = 10

Multiplications are performed before addition and subtraction.

Perform the final subtraction

18 - 10 = 8

Subtraction is performed last according to the order of operations.

Order of Operations and Number Properties

Question