Math Problem Statement

[(8 - 6) + 10] ÷ 3 × 7

Solution

The expression shown in the image is:

[(86)+10]÷3×7\left[ (8 - 6) + 10 \right] \div 3 \times 7

Let's break it down step by step:

  1. Simplify inside the parentheses: 86=28 - 6 = 2 So, the expression becomes: [2+10]÷3×7\left[ 2 + 10 \right] \div 3 \times 7

  2. Add the numbers inside the brackets: 2+10=122 + 10 = 12 So now the expression is: 12÷3×712 \div 3 \times 7

  3. Apply the order of operations (PEMDAS/BODMAS): First, divide, then multiply: 12÷3=412 \div 3 = 4 Now multiply by 7: 4×7=284 \times 7 = 28

So, the final result is: 2828

Would you like further clarification or more details on this process?

Follow-up questions:

  1. What is the order of operations (PEMDAS/BODMAS) in mathematics?
  2. How does the associative property work in arithmetic expressions?
  3. What happens if multiplication and division are in the same step of an expression?
  4. Can you apply the same steps to an expression with more parentheses?
  5. How can simplifying complex equations improve problem-solving efficiency?

Tip: Always solve inside parentheses first when using the order of operations!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Order of Operations
Arithmetic
PEMDAS/BODMAS

Formulas

PEMDAS/BODMAS Rule

Theorems

Order of Operations

Suitable Grade Level

Grades 5-7