Question

Which interchange of signs will make the following equation correct? 10 + 10 ÷ 10 - 10 × 10 = 10

• A. + and ÷
• B. + and ×
• C. ÷ and -
• D. × and -
• E. ÷ and +

Hint:

Test each options by substituting the swapped signs and evaluating using BODMAS rule.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Evaluate the arithmetic expression using BODMAS after swapping the signs in each option until the result matches the RHS (10).
Step 2: Key Formula or Approach:
BODMAS: Brackets, Orders, Division, Multiplication, Addition, Subtraction.
Step 3: Detailed Explanation:
Test Option (B): Swap + and \(\times\). New equation: \( 10 \times 10 \div 10 - 10 + 10 \) 1. Division: \( 10 \div 10 = 1 \). 2. Multiplication: \( 10 \times 1 = 10 \). 3. Addition/Subtraction: \( 10 - 10 + 10 = 10 \). Result is 10. Correct.
Step 4: Final Answer:
Interchanging + and \(\times\) makes the equation correct.