Math Problem Statement

100/4(2+3)

Solution

Let's solve the expression step by step:

We have:

1004×(2+3)\frac{100}{4} \times (2 + 3)

  1. First, simplify inside the parentheses: 2+3=52 + 3 = 5

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

  3. Simplify 1004\frac{100}{4}: 100÷4=25100 \div 4 = 25

  4. Finally, multiply by 5: 25×5=12525 \times 5 = 125

The value of the expression is 125\boxed{125}.

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

Here are five related questions:

  1. How would the result change if the denominator was 5 instead of 4?
  2. What is the result of 100÷2×(4+6)100 \div 2 \times (4 + 6)?
  3. How do parentheses affect the order of operations in expressions like this?
  4. How does changing the order of operations affect the final result?
  5. Can you solve 1206(3+2)\frac{120}{6}(3+2) in the same way?

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

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Division
Multiplication
Addition

Formulas

Division: a ÷ b
Multiplication: a × b
Addition: a + b

Theorems

Order of Operations (PEMDAS/BODMAS)

Suitable Grade Level

Grades 6-8