To solve the expression \( 100 \div 4(3 + 2) \), we need to follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division (from left to right), Addition/Subtraction (from left to right)).

### Step-by-step solution:

1. **Parentheses**: First, solve what's inside the parentheses:
   \[
   3 + 2 = 5
   \]
   
2. **Rewrite the expression**: 
   \[
   100 \div 4(5)
   \]
   
3. **Division and multiplication** (from left to right):
   - First, divide \( 100 \div 4 \):
     \[
     100 \div 4 = 25
     \]
   - Then multiply \( 25 \times 5 \):
     \[
     25 \times 5 = 125
     \]

### Final answer: 
\[
125
\]

Would you like more details or have any questions?

Here are 5 related questions to explore:
1. How do we handle expressions with exponents?
2. What is the difference between \(\div\) and \(/ \) in expressions?
3. How would the result change if parentheses were around the entire \(4(3+2)\)?
4. Can you solve \(100 \div [4(3 + 2)]\)? 
5. What happens if we change the division symbol to multiplication?

**Tip:** Always perform operations inside parentheses first to avoid confusion!

Learn how to solve the expression 100 ÷ 4(3 + 2) step-by-step using the order of operations (PEMDAS). This problem covers core arithmetic concepts such as division, multiplication, and parentheses. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation