Math Problem Statement

Solve the Expression 100 ÷ 4 (2+3)

Solution

The given expression is:

100÷4(2+3)100 \div 4 (2+3)

Step 1: Simplify the parentheses

First, solve the expression inside the parentheses: 2+3=52 + 3 = 5

Step 2: Multiply and divide (following the order of operations)

Now, the expression becomes: 100÷4×5100 \div 4 \times 5

Step 3: Apply the order of operations (PEMDAS/BODMAS)

According to the order of operations, you must divide and multiply from left to right: 100÷4=25100 \div 4 = 25 25×5=12525 \times 5 = 125

Final Answer:

100÷4(2+3)=125100 \div 4 (2+3) = 125

Would you like more details or explanations about this?

Here are five related questions you might find useful:

  1. What happens if you change the parentheses in a similar expression?
  2. How does the order of operations affect calculations?
  3. How would this expression change if multiplication came before division?
  4. What if a negative sign is added to the expression?
  5. Can you rewrite this expression using fractions?

Tip: Always handle parentheses first and work left to right for multiplication and division!

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Math Problem Analysis

Mathematical Concepts

Order of Operations (PEMDAS/BODMAS)
Multiplication
Division
Parentheses

Formulas

PEMDAS/BODMAS: Parentheses → Exponents → Multiplication/Division (left to right) → Addition/Subtraction (left to right)

Theorems

Order of Operations

Suitable Grade Level

Grades 5-7