What is the value of the expression 15 - 3 \times 2^3 + 10? — ACT

What is the value of the expression $15 - 3 \times 2^3 + 10$ ?

The value of the expression is

1

Evaluating the exponent first gives

2^3 = 8

. Next, multiplying 3 by 8 yields 24, resulting in the expression

15 - 24 + 10

. Finally, performing addition and subtraction from left to right gives

15 - 24 = -9

, and

-9 + 10 = 1

. Therefore, the value of the expression is

1

Evaluate the exponential expression.

2^3 = 8

According to the order of operations, exponents must be evaluated before multiplication, division, addition, and subtraction.

Perform the multiplication.

3 \times 8 = 24

Multiplication has higher priority than addition and subtraction.

Perform addition and subtraction from left to right.

15 - 24 + 10 = -9 + 10 = 1

Addition and subtraction have equal priority and must be performed in the order they appear from left to right.

Order of Operations (PEMDAS)

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