Question : Directions: Select the correct combination of mathematical signs to replace × signs and to balance the following equation.
5 × 9 × 3 × 6 × 8
Option 1: ×, +, =, ×
Option 2: ×, –, =, ×
Option 3: +, ÷, –, =
Option 4: +, ×, ÷, =
Correct Answer: ×, +, =, ×
Solution :
Given:
5 × 9 × 3 × 6 × 8
On replacing × with the mathematical signs –
First option:
×, +, =, ×
L.H.S. = 5 × 9 + 3 = 45 + 3 = 48
R.H.S. = 6 × 8 = 48
L.H.S. = R.H.S.
Second option:
×, –, =, ×
L.H.S. = 5 × 9 – 3 = 45 – 3 = 42
R.H.S. = 6 × 8 = 48
L.H.S. ≠ R.H.S.
Third option:
+, ÷, –, =
L.H.S. = 5 + 9 ÷ 3 – 6 = 5 + 3 – 6 = 8 – 6 = 2
R.H.S. = 8
L.H.S. ≠ R.H.S.
Fourth option:
+, ×, ÷, =
L.H.S. = 5 + 9 × 3 ÷ 6 = 5 + 4.5 = 9.5
R.H.S. = 8
L.H.S. ≠ R.H.S.
So, only the first option satisfies the equation. Hence, the first option is correct.
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