To solve the expression \( \frac{100}{4}(3 + 2) \), let's break it down step by step:

### Step 1: Evaluate inside the parentheses
First, simplify the expression inside the parentheses:

\[
3 + 2 = 5
\]

Now the expression becomes:

\[
\frac{100}{4} \times 5
\]

### Step 2: Simplify the division
Next, divide 100 by 4:

\[
\frac{100}{4} = 25
\]

Now the expression becomes:

\[
25 \times 5
\]

### Step 3: Perform the multiplication
Finally, multiply 25 by 5:

\[
25 \times 5 = 125
\]

Thus, the result is:

\[
\boxed{125}
\]

Would you like a detailed explanation on any part of the solution? Here are some related questions:

1. What is the order of operations, and how does it affect calculations?
2. How do parentheses impact the outcome of expressions?
3. Can the distributive property be applied here? If so, how?
4. What are some other ways to approach problems with mixed operations?
5. How do parentheses differ from brackets in mathematics?

**Tip:** Always follow the PEMDAS (Parentheses, Exponents, Multiplication/Division (from left to right), Addition/Subtraction (from left to right)) rule for solving expressions with multiple operations.

Learn how to solve the arithmetic expression 100/4(3+2) with a detailed step-by-step explanation. This problem highlights the importance of the order of operations (PEMDAS) in arithmetic. Suitable for students in Grades 5-7.

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