Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the following equation:
8 * 8 * 1 * 7 = 8
Option 1: ×, ÷, +
Option 2: +, ÷, ×
Option 3: ÷, ×, +
Option 4: +, ×, ÷
Correct Answer: ÷, ×, +
Solution :
Given:
8 * 8 * 1 * 7 = 8
Let's check the options –
First option:
×, ÷, +
⇒ 8 × 8 ÷ 1 + 7 = 8
Solving the L.H.S. of the equation –
= 8 × 8 ÷ 1 + 7
= 8 × 8 + 7
= 64 + 7
= 71 ≠ 8
Second option:
+, ÷, ×
⇒ 8 + 8 ÷ 1 × 7 = 8
Solving the L.H.S. of the equation –
= 8 + 8 ÷ 1 × 7
= 8 + 8 × 7
= 8 + 56
= 64 ≠ 8
Third option:
÷, ×, +
⇒ 8 ÷ 8 × 1 + 7 = 8
Solving the L.H.S. of the equation –
= 8 ÷ 8 × 1 + 7
= 1 × 1 + 7
= 1 + 7
= 8 = R.H.S.
Fourth option:
+, ×, ÷
⇒ 8 + 8 × 1 ÷ 7 = 8
Solving the L.H.S. of the equation –
= 8 + 8 × 1 ÷ 7
= 8 + 8 × 0.14
= 8 + 1.14
= 9.14 ≠ 8
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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