Math Problem Statement

100÷4(3+2)

Solution

Let's break down the expression 100÷4(3+2)100 \div 4(3 + 2):

Step 1: Simplify inside the parentheses.

3+2=53 + 2 = 5

Now the expression becomes: 100÷4(5)100 \div 4(5)

Step 2: Interpret the expression.

This is commonly interpreted as: 100÷(4×5)100 \div (4 \times 5) Since multiplication and division are performed from left to right, we first divide 100100 by 44, and then multiply the result by 55.

Step 3: Perform the division first.

100÷4=25100 \div 4 = 25

Step 4: Multiply by 5.

25×5=12525 \times 5 = 125

Thus, the value of the expression is 125125.


Would you like more details or have any further questions?

Here are 5 related questions:

  1. How would the result change if the parentheses were placed differently?
  2. Can you explain the order of operations for expressions like this?
  3. What happens if you divide first and then multiply?
  4. How do parentheses affect calculations in math?
  5. Could this be interpreted differently with different rules?

Tip: Always remember to follow the order of operations—parentheses, exponents, multiplication and division (left to right), and then addition and subtraction (left to right).

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Math Problem Analysis

Mathematical Concepts

Order of Operations
Division
Multiplication
Parentheses

Formulas

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

Theorems

Order of Operations

Suitable Grade Level

Grades 6-8