The expression \( 100 \div 4(2 + 3) \) can be evaluated step by step by following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

### Step 1: Simplify the expression inside the parentheses
\[
2 + 3 = 5
\]
Now the expression becomes:
\[
100 \div 4 \times 5
\]

### Step 2: Perform division and multiplication from left to right
\[
100 \div 4 = 25
\]
Now the expression is:
\[
25 \times 5 = 125
\]

Thus, the value of \( 100 \div 4(2 + 3) \) is **125**.

Would you like more details, or have any questions?

Here are 5 related questions to explore:
1. How would the answer change if the expression were \( 100 \div (4(2+3)) \)?
2. What is the result of \( 100 \div 4 + 4 \times 5 \)?
3. Can you simplify \( 200 \div 8(2 + 4) \) similarly?
4. How would adding an exponent affect this expression, such as \( 100 \div 4(2 + 3)^2 \)?
5. How do parentheses change the outcome of expressions in general?

**Tip:** Always prioritize operations inside parentheses and handle division and multiplication from left to right, as they have equal precedence.

Explore how to solve the expression 100 ÷ 4(2+3) step by step using the order of operations (PEMDAS). This guide simplifies the expression inside parentheses, followed by division and multiplication, showing the final result. Suitable for students in Grades 6-8.

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