Math Problem Statement

(5 × 6 − 2) ÷ 4

Solution

The expression you have provided is:

(5×62)÷4(5 \times 6 - 2) \div 4

Let's simplify it step by step, following the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)).

  1. First, handle the multiplication and subtraction inside the parentheses: 5×6=305 \times 6 = 30 302=2830 - 2 = 28

  2. Now divide by 4: 28÷4=728 \div 4 = 7

So, the simplified result is: 77

Would you like more details or have any questions? Here are five related questions to expand on this:

  1. How would you simplify a similar expression with different operations inside the parentheses?
  2. Can you explain the order of operations (PEMDAS) and why we follow it?
  3. What would change if there was an addition instead of subtraction inside the parentheses?
  4. How does division affect the result compared to multiplication?
  5. How would you solve this problem if the parentheses were in a different position?

Tip: Always solve the operations inside parentheses first before moving on to other operations!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Arithmetic
Order of Operations (PEMDAS)

Formulas

Basic arithmetic: Multiplication, Subtraction, Division

Theorems

-

Suitable Grade Level

Grades 5-7