The expression \( 100 \div 4 \times (2 + 3) \) needs to be solved following the order of operations, often remembered by PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. **Parentheses first**:
   \[
   2 + 3 = 5
   \]
   Now the expression becomes:
   \[
   100 \div 4 \times 5
   \]

2. **Division and Multiplication (from left to right)**:
   - First, perform the division:
     \[
     100 \div 4 = 25
     \]
   - Then, multiply:
     \[
     25 \times 5 = 125
     \]

So, the result is \( 125 \).

Would you like more details or have any questions?

Here are five related questions:
1. What is the value of \( 100 \div 5 \times (3+2) \)?
2. How would the result change if the expression was \( 100 \div (4 \times 5) \)?
3. What happens if we calculate \( 100 \div 4 + (2+3) \)?
4. Can you solve \( 200 \div 4 \times (3 + 2) \)?
5. What is the impact of changing the division to multiplication in the expression \( 100 \times 4 \div (2+3) \)?

**Tip:** Always perform operations inside parentheses first, followed by division and multiplication from left to right.

Learn how to solve the expression 100 divided by 4 times the quantity 2 plus 3 with a detailed step-by-step solution. This problem covers arithmetic operations, including the order of operations and parentheses. Suitable for students in Grades 5-8.

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