Select the correct combination of mathematical signs to sequentially replace the * signs to balance the following equation.
40 * 5 * 7 * 24 * 6 * 38
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. ÷, ×, −, +, =.
Given equation: 40 * 5 * 7 * 24 * 6 * 38
Option 1: +, ×, ÷, −, =
After interchanging the expression becomes:
= 40 + 5 × 7 ÷ 24 − 6 = 38
= 35.45 is not equal to 38.
Option 2: ÷, −, ×, +, =
After interchanging the expression becomes:
= 40 ÷ 5 − 7 × 24 + 6 = 38
= 8 − 7 × 24 + 6
= 8 − 168 + 6
= -154 is not equal to 38.
Option 3: ÷, ×, −, +, =
After interchanging the expression becomes:
= 40 ÷ 5 × 7 − 24 + 6 = 38
= 8 × 7 − 24 + 6
= 56 − 24 + 6
= 38 is equal to 38.
As we have found our answer, there is no need to check further options.
Hence, option 3 is the correct answer.