Solved on Jan 21, 2024

Simplify the expression (8+2)4(8+2) \cdot 4 using the order of operations.

STEP 1

Assumptions
1. We will follow the order of operations, also known as PEMDAS/BODMAS, which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
2. The expression to simplify is (8+2)4(8+2) \cdot 4.

STEP 2

First, we need to simplify the expression inside the parentheses.
(8+2) (8+2)

STEP 3

Calculate the sum inside the parentheses.
8+2=10 8+2 = 10

STEP 4

Now that we have simplified the expression inside the parentheses, we can multiply the result by 4.
104 10 \cdot 4

STEP 5

Calculate the product.
104=40 10 \cdot 4 = 40
The simplified expression is 40.

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