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

Here's the step-by-step solution:

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

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 answer is:

\[
\boxed{125}
\]

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:

1. What is the order of operations and why is it important in mathematics?
2. How would the answer change if the parentheses were placed differently, such as \(100/(4(2+3))\)?
3. What happens if you change the division to multiplication in the original problem?
4. How do you handle expressions with exponents and roots in the order of operations?
5. How does the distributive property apply to expressions like this?

**Tip**: When solving expressions, always carefully follow the order of operations to avoid mistakes.

Understand how to solve the expression 100/4(2+3) by applying the order of operations, often remembered as PEMDAS or BODMAS. This step-by-step solution covers division and multiplication, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation