Math Problem Statement

100 ÷ 4 (2+3)

Solution

To solve the expression 100÷4(2+3)100 \div 4 (2+3), follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction):

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

  2. Multiplication: The expression becomes: 100÷4×5100 \div 4 \times 5 According to the order of operations, multiplication and division are performed from left to right. So, divide first: 100÷4=25100 \div 4 = 25

  3. Multiplication: Now multiply: 25×5=12525 \times 5 = 125

The final result is 125125.

Would you like more details or have any questions?

Here are 5 related questions:

  1. What is the result of 200÷8(3+2)200 \div 8 (3+2)?
  2. How does the order of operations change the outcome if we reverse the operations?
  3. How do parentheses influence the calculations in expressions?
  4. What would happen if you forgot to divide before multiplying?
  5. Can this concept extend to more complex expressions with exponents and roots?

Tip: Always handle parentheses and other grouping symbols first in any mathematical expression!

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations
Parentheses

Formulas

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

Theorems

Order of Operations

Suitable Grade Level

Grades 6-8