Let's solve the expression \( \frac{100}{4}(3+2) \):

### Step-by-step solution:

1. Start by evaluating the parentheses \( (3+2) \):
   \[
   3 + 2 = 5
   \]
2. Now substitute \( 5 \) back into the expression:
   \[
   \frac{100}{4} \times 5
   \]
3. Divide \( 100 \) by \( 4 \):
   \[
   \frac{100}{4} = 25
   \]
4. Multiply \( 25 \) by \( 5 \):
   \[
   25 \times 5 = 125
   \]

Thus, the value of the expression is **125**.

Would you like more details or further explanation?

### Related questions:
1. How do parentheses affect the order of operations in arithmetic expressions?
2. What is the distributive property of multiplication over addition?
3. Can you explain how PEMDAS (BODMAS) is applied in more complex expressions?
4. How would the result change if the expression were written as \( 100 \div (4 \times (3+2)) \)?
5. How do you solve expressions with nested parentheses?

### Tip:
Always resolve operations inside parentheses first, then proceed with division or multiplication from left to right according to the order of operations (PEMDAS/BODMAS).

Explore the solution to the arithmetic expression 100/4(3+2) using the order of operations (PEMDAS/BODMAS). This problem demonstrates how parentheses and basic arithmetic operations such as division and multiplication interact. Suitable for students in Grades 5-7.

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