To solve the expression $\frac{100}{4}(2+3)$ step by step, let's follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Step 1: Solve the expression inside the parentheses.

$2 + 3 = 5$ So, the expression becomes: $\frac{100}{4} \times 5$

Step 2: Perform the division.

$\frac{100}{4} = 25$ Now, the expression is: $25 \times 5$

Step 3: Perform the multiplication.

$25 \times 5 = 125$

Final Answer:

The value of the expression $\frac{100}{4}(2+3)$ is $125$.

Do you want more details or have any questions?

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1. What is the order of operations in mathematics?
2. How do you handle expressions with both multiplication and division?
3. What happens if parentheses are added in different places in an expression?
4. Can the order of operations change the result of a calculation?
5. How does PEMDAS differ from BODMAS?

Tip: Always solve expressions inside parentheses first to avoid errors in calculations.