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Math  /  Numbers & Operations

Question7
Use the correct order of operations to solve the expression below. 23−3×(2+3)+9−723-3 \times(2+3)+9-7 A. 22 B. 6 C. 102 D. 10 Reset Submit

Studdy Solution

STEP 1

1. The expression to solve is 23−3×(2+3)+9−7 23 - 3 \times (2 + 3) + 9 - 7 .
2. We will use the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

STEP 2

1. Solve the expression inside the parentheses.
2. Perform the multiplication.
3. Perform addition and subtraction from left to right.

STEP 3

Solve the expression inside the parentheses:
2+3=5 2 + 3 = 5
The expression now becomes:
23−3×5+9−7 23 - 3 \times 5 + 9 - 7

STEP 4

Perform the multiplication:
3×5=15 3 \times 5 = 15
The expression now becomes:
23−15+9−7 23 - 15 + 9 - 7

STEP 5

Perform the addition and subtraction from left to right:
First, subtract:
23−15=8 23 - 15 = 8
Then, add:
8+9=17 8 + 9 = 17
Finally, subtract:
17−7=10 17 - 7 = 10
The solution to the expression is:
10\boxed{10}

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