Math Problem Statement

Solve the Expression 100 ÷ 4 (2+3)

Solution

The given expression is:

100÷4(2+3)100 \div 4 (2+3)

To solve it, let's follow the order of operations (PEMDAS/BODMAS):

  1. Parentheses: Calculate inside the parentheses first.

2+3=52 + 3 = 5

Now, the expression becomes:

100÷4×5100 \div 4 \times 5

  1. Multiplication and Division: From left to right.

100÷4=25100 \div 4 = 25

Then multiply by 5:

25×5=12525 \times 5 = 125

So, the final result is:

125\boxed{125}

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:

  1. How do parentheses affect the order of operations?
  2. What is the difference between multiplication and division in the order of operations?
  3. How would the answer change if the expression were 100÷(4(2+3))100 \div (4(2+3))?
  4. Can you explain why the order of operations is important in mathematics?
  5. What are some common mistakes people make when using the order of operations?

Tip: Always handle expressions inside parentheses first before moving on to multiplication, division, addition, or subtraction.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS/BODMAS)

Formulas

Division: a ÷ b
Multiplication: a × b

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 5-7