To solve the expression \( 100 \div 4(2+3) \), follow the order of operations (PEMDAS):

1. **Parentheses**: First, calculate the expression inside the parentheses:
   \[
   2 + 3 = 5
   \]

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

So, the value of the expression is:
\[
\boxed{125}
\]

Do you want more details or have any questions?

Here are 5 related questions:
1. What is the value of \( 150 \div 3(4+2) \)?
2. How does the order of operations (PEMDAS) work in more complex equations?
3. How would you handle the expression \( 200 \div 5(3+7) \)?
4. Can you explain what happens if multiplication or division is omitted in expressions?
5. What is the difference between explicit and implicit multiplication?

**Tip**: Always resolve parentheses first, then handle multiplication and division from left to right!

Learn how to solve the arithmetic expression 100 ÷ 4(2+3) by applying the order of operations (PEMDAS). This problem covers key mathematical concepts such as parentheses and multiplication, suitable for students in Grades 6-8.

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