Math Problem Statement

100/4(2+3)

Solution

To solve the expression 1004(2+3)\frac{100}{4}(2+3), follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction).

  1. Solve the parentheses first: 2+3=52 + 3 = 5

  2. Now, the expression becomes: 1004×5\frac{100}{4} \times 5

  3. Divide 100100 by 44: 1004=25\frac{100}{4} = 25

  4. Multiply by 5: 25×5=12525 \times 5 = 125

So, the final result is 125125.

Would you like more details, or do you have any questions?

Here are 5 related questions to explore further:

  1. How would the result change if the numbers inside the parentheses were different?
  2. What if you change the order of operations—does that affect the answer?
  3. How would the answer change if multiplication came before division in this case?
  4. What happens if the expression was 100/(4(2+3))100/(4(2+3))?
  5. Can you apply this method to a similar expression like 150/6(3+2)150/6(3+2)?

Tip: Always prioritize parentheses and follow the left-to-right rule when dealing with both division and multiplication.

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Basic Arithmetic

Formulas

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

Theorems

Order of Operations

Suitable Grade Level

Grades 5-7