To solve the expression \( \frac{100}{4}(2+3) \), follow the order of operations, commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

1. **Parentheses**: Calculate the expression inside the parentheses first.
   \[
   2 + 3 = 5
   \]

2. **Division**: Next, divide 100 by 4.
   \[
   \frac{100}{4} = 25
   \]

3. **Multiplication**: Finally, multiply the result by 5.
   \[
   25 \times 5 = 125
   \]

So, the final answer is \( 125 \).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What is the order of operations in mathematical expressions?
2. How would you solve the expression \( 50/2(3+4) \)?
3. What happens if you change the order of operations in a complex expression?
4. How do you handle expressions that include exponents in addition to multiplication and division?
5. Can you solve \( \frac{200}{8}(7-3) \) using the same principles?

**Tip:** Always resolve operations inside parentheses first before handling multiplication, division, or any other operations outside the parentheses.

Learn how to solve the mathematical expression 100 divided by 4 times the sum of 2 and 3 step-by-step. This problem covers the order of operations in arithmetic, focusing on parentheses, division, and multiplication. Suitable for students in Grades 6-8.

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