Simplify:

3 · 32 + 8 ÷ 2 − (4 + 3)

A.

30

B.

24

C.

32

D.

23

To simplify the expression \( 3 \cdot 32 + 8 \div 2 - (4 + 3) \), follow 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)).

1. **Parentheses**:
   \[
   4 + 3 = 7
   \]
   The expression becomes:
   \[
   3 \cdot 32 + 8 \div 2 - 7
   \]

2. **Multiplication and Division (from left to right)**:
   \[
   3 \cdot 32 = 96
   \]
   \[
   8 \div 2 = 4
   \]
   The expression is now:
   \[
   96 + 4 - 7
   \]

3. **Addition and Subtraction (from left to right)**:
   \[
   96 + 4 = 100
   \]
   \[
   100 - 7 = 93
   \]

However, I notice I should reevaluate the problem. The first term is not \(3 \cdot 32\) (which equals 96) but \(3 \times 3^2\). Let's fix that.

Starting over:
1. **Exponentiation**:
   \[
   3^2 = 9
   \]
   Now the expression is:
   \[
   3 \times 9 + 8 \div 2 - (4 + 3)
   \]

2. **Multiplication and Division**:
   \[
   3 \times 9 = 27
   \]
   \[
   8 \div 2 = 4
   \]
   The expression is now:
   \[
   27 + 4 - 7
   \]

3. **Addition and Subtraction**:
   \[
   27 + 4 = 31
   \]
   \[
   31 - 7 = 24
   \]

The correct answer is:

**B. 24**

Would you like more details or have any questions?

Here are some related questions:
1. What is the order of operations in mathematics?
2. How do exponents affect multiplication?
3. Why is it important to follow the order of operations?
4. How do parentheses influence calculations in an expression?
5. Can you explain how to solve more complex expressions?

**Tip:** Always double-check your interpretation of mathematical symbols and terms, especially exponents and operations.

Learn how to simplify the arithmetic expression 3 times 32 plus 8 divided by 2 minus the quantity 4 plus 3 step-by-step. This problem covers key concepts including order of operations, exponents, and basic arithmetic operations. Suitable for students in Grades 6-8.

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