Math Problem Statement

100÷4(2+3)

Solution

The expression 100÷4(2+3)100 \div 4(2 + 3) can be evaluated step by step by following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

Step 1: Simplify the expression inside the parentheses

2+3=52 + 3 = 5 Now the expression becomes: 100÷4×5100 \div 4 \times 5

Step 2: Perform division and multiplication from left to right

100÷4=25100 \div 4 = 25 Now the expression is: 25×5=12525 \times 5 = 125

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

Would you like more details, or have any questions?

Here are 5 related questions to explore:

  1. How would the answer change if the expression were 100÷(4(2+3))100 \div (4(2+3))?
  2. What is the result of 100÷4+4×5100 \div 4 + 4 \times 5?
  3. Can you simplify 200÷8(2+4)200 \div 8(2 + 4) similarly?
  4. How would adding an exponent affect this expression, such as 100÷4(2+3)2100 \div 4(2 + 3)^2?
  5. How do parentheses change the outcome of expressions in general?

Tip: Always prioritize operations inside parentheses and handle division and multiplication from left to right, as they have equal precedence.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Order of Operations
Division
Multiplication
Parentheses

Formulas

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

Theorems

Order of Operations Theorem (PEMDAS)

Suitable Grade Level

Grades 6-8