Math Problem Statement

100÷4(3+2)

Solution

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

Step-by-step solution:

  1. Parentheses: First, solve what's inside the parentheses: 3+2=53 + 2 = 5

  2. Rewrite the expression: 100÷4(5)100 \div 4(5)

  3. Division and multiplication (from left to right):

    • First, divide 100÷4100 \div 4: 100÷4=25100 \div 4 = 25
    • Then multiply 25×525 \times 5: 25×5=12525 \times 5 = 125

Final answer:

125125

Would you like more details or have any questions?

Here are 5 related questions to explore:

  1. How do we handle expressions with exponents?
  2. What is the difference between ÷\div and // in expressions?
  3. How would the result change if parentheses were around the entire 4(3+2)4(3+2)?
  4. Can you solve 100÷[4(3+2)]100 \div [4(3 + 2)]?
  5. What happens if we change the division symbol to multiplication?

Tip: Always perform operations inside parentheses first to avoid confusion!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS)
Multiplication
Division

Formulas

PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

Theorems

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Suitable Grade Level

Grades 5-7