Question

Which two signs should be interchanged to make the given equation correct?

3 - 36 × 9 ÷ 3 + 12 = 3

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

Answer 1

Answer:

C. ÷ and ×

Solution: The given equation: 3 - 36 × 9 ÷ 3 + 12 = 3 On interchanging × and -, we get: L.H.S = 3× 36 - 9 ÷ 3 + 12 ⇒ 108 - 3 + 12 ⇒ 117 ≠ R.H.S On interchanging + and ÷, we get: L.H.S = 3 - 36 × 9 + 3 ÷ 12 ⇒ 3 - 324 + 0.25 ⇒ 320.75 ≠ R.H.S On interchanging ÷ and -, we get: L.H.S = 3 ÷ 36 × 9 - 3 + 12 = 3 ⇒ 0.75 + 9 ⇒ 9.75 ≠ R.H.S On interchanging ÷ and ×, we get: L.H.S. = 3 - 36 ÷ 9 × 3 + 12 ⇒ 3 - 12 + 12 ⇒ 3 = 3 (R.H.S.) Hence, we need to interchange the positions of ÷ and × to make the equation correct.