Question : Directions: Select the correct combination of the mathematical signs to replace X in the below equation and thereby balance it.
9 X 3 X 6 X 2 X 9
Option 1: ÷, ×, =, ×
Option 2: ÷, ×, =, –
Option 3: ×, =, –, ÷
Option 4: ×, ÷, +, =
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Correct Answer: ÷, ×, =, ×
Solution :
Given:
9 X 3 X 6 X 2 X 9
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷, ×, =, ×
9 ÷ 3 × 6 = 2 × 9
L.H.S. = 9 ÷ 3 × 6 = 3 × 6 = 18
R.H.S. = 2 × 9 = 18
L.H.S. = R.H.S.
Second option:
÷, ×, =, –
9 ÷ 3 × 6 = 2 – 9
L.H.S. = 9 ÷ 3 × 6 = 3 × 6 = 18
R.H.S. = 2 – 9 = –7
L.H.S. ≠ R.H.S.
Third option:
×, =, –, ÷
9 × 3 = 6 – 2 ÷ 9
L.H.S. = 9 × 3 = 27
R.H.S. = 6 – 2 ÷ 9 = 6 – 0.22 = 5.78
L.H.S. ≠ R.H.S.
Fourth option:
×, ÷, +, =
9 × 3 ÷ 6 + 2 = 9
L.H.S. = 9 × 3 ÷ 6 + 2
= 9 × 0.5 + 2
= 4.5 + 2
= 6.5
L.H.S. ≠ R.H.S.
So, only the first option satisfies the equation. Hence, the first option is correct.
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