Math

Question Evaluate the expression (5+4)(5+33)(5+4) \cdot (5+3 \cdot 3) using the correct order of operations.

Studdy Solution

STEP 1

Assumptions
1. The expression to evaluate is: (5+4)×5+33(5+4) \times 5 + 3 \cdot 3
2. We must follow the correct order of operations, which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). This is often abbreviated as PEMDAS.

STEP 2

First, we need to evaluate the expression inside the parentheses.
(5+4)×5+33(5+4) \times 5 + 3 \cdot 3

STEP 3

Calculate the sum inside the parentheses.
9×5+339 \times 5 + 3 \cdot 3

STEP 4

Next, according to PEMDAS, we perform multiplication before addition.
9×5+339 \times 5 + 3 \cdot 3

STEP 5

Calculate the first multiplication.
45+3345 + 3 \cdot 3

STEP 6

Now, calculate the second multiplication.
45+945 + 9

STEP 7

Finally, perform the addition.
45+9=5445 + 9 = 54
The correct answer is c. 54.

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