Which of the following interchange of signs would make the given equation correct?
18 × 6 − 12 ÷ 4 + 2 = −43
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. × and ÷.
Given equation: 18 × 6 − 12 ÷ 4 + 2 = −43
Option 1: − and +
After interchanging the expression becomes:
= 18 × 6 + 12 ÷ 4 − 2 = −43
= 18 × 6 + 3 − 2
= 108 + 3 − 2
= 109 is not equal to -43.
Option 2: × and ÷
After interchanging the expression becomes:
= 18 ÷ 6 − 12 × 4 + 2 = −43
= 3 − 12 × 4 + 2
= 3 − 48 + 2
= -43 is equal to -43.
As we have found our answer, there is no need to check further options.
Hence, option 2 is the correct answer.