Math Problem Statement

100÷4(2+3)

Solution

To solve the expression 100÷4(2+3)100 \div 4(2+3), let's follow the correct order of operations (PEMDAS/BODMAS):

  1. Parentheses: First, evaluate the expression inside the parentheses:
    2+3=52 + 3 = 5.

  2. Substitute into the expression:
    Now, the expression becomes:
    100÷4×5100 \div 4 \times 5.

  3. Division and multiplication:
    According to the order of operations, we proceed from left to right with division and multiplication:

    • 100÷4=25100 \div 4 = 25,
    • 25×5=12525 \times 5 = 125.

Thus, the value of 100÷4(2+3)100 \div 4(2+3) is 125.

Would you like a more detailed breakdown or have any questions?

Here are some related questions to expand your understanding:

  1. What happens if parentheses are placed around the division, like (100÷4)(2+3)(100 \div 4)(2+3)?
  2. How does the expression change if it's written as 100÷[4(2+3)]100 \div [4(2+3)]?
  3. How would you simplify 100÷4×2+3100 \div 4 \times 2 + 3?
  4. What is the result of 100÷(4×(2+3))100 \div (4 \times (2+3))?
  5. Can you create a similar expression that uses exponents?

Tip: Always evaluate parentheses first and follow the left-to-right rule for multiplication and division!

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Basic Arithmetic

Formulas

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

Theorems

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Suitable Grade Level

Grades 5-7