Question

Perform the operation: -6 + (-2) ÷ 4 × 8 - (-8).

Answer 1

The result of the operation -6 + (-2) ÷ 4 × 8 - (-8) is -2 after following the order of operations, starting with division and multiplication, followed by addition and subtraction.

Step-by-step explanation:

To perform the operation -6 + (-2) ÷ 4 × 8 - (-8), we must follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Since there are no parentheses or exponents to consider, we begin with division and multiplication.

First, we divide:

• -2 ÷ 4 = -0.5

Then we multiply:

• -0.5 × 8 = -4

Now perform the addition and subtraction from left to right:

• -6 + (-4) = -6 - 4 = -10 (When two negative numbers add, the answer has a negative sign.)
• -10 - (-8) = -10 + 8 = -2 (Subtracting a negative is the same as adding the positive equivalent.)

The final result of the operation is -2.