Math Problem Statement

100÷4(2+3)

Solution

To solve the expression 100÷4(2+3)100 \div 4(2+3), follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Step-by-step solution:

  1. Parentheses: First, solve the expression inside the parentheses: 2+3=52 + 3 = 5 So, the expression becomes: 100÷4(5)100 \div 4(5)

  2. Multiplication next (since 4 is next to the parentheses): 4×5=204 \times 5 = 20 Now the expression is: 100÷20100 \div 20

  3. Division: 100÷20=5100 \div 20 = 5

Thus, the final result is: 5\boxed{5}

Do you want further details or have any questions?

Related questions:

  1. How does the order of operations work with more complex expressions?
  2. What happens when exponents are involved in similar expressions?
  3. Can parentheses influence how we approach division or multiplication?
  4. How would the result change if the expression were written as 1004(2+3)\frac{100}{4(2+3)}?
  5. What is the difference between implicit and explicit multiplication?

Tip: Always handle parentheses and multiplication that directly follow them before proceeding with division.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Division
Multiplication
Parentheses

Formulas

PEMDAS/BODMAS Rule

Theorems

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Suitable Grade Level

Grades 5-7