Math Problem Statement

100÷4(2+3)

Solution

Let's solve the expression:

100÷4(2+3)100 \div 4(2 + 3)

Step-by-step solution:

  1. Evaluate inside the parentheses: 2+3=52 + 3 = 5

  2. Substitute the result back into the expression: 100÷4(5)100 \div 4(5)

  3. Multiplication takes precedence over division. So, you evaluate 4(5)4(5) first: 4×5=204 \times 5 = 20

  4. Now, divide 100 by 20: 100÷20=5100 \div 20 = 5

Thus, the result is:

5\boxed{5}

Would you like further explanation or have any other questions?

Here are 5 related questions to deepen your understanding:

  1. How does the order of operations (PEMDAS/BODMAS) affect expressions like this?
  2. What happens if we interpret division and multiplication as occurring from left to right?
  3. How would this expression change if parentheses were placed differently?
  4. How would you approach this if there were multiple sets of parentheses?
  5. Can this problem be solved using a different method, such as factorization?

Tip: Always remember the order of operations: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Parentheses
Multiplication and Division

Formulas

PEMDAS/BODMAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction)

Theorems

Order of Operations

Suitable Grade Level

Grades 6-8