Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation.
9 * 16 * 64 * 8 * 2 * 9
Option 1: ÷, +, ×, –, =
Option 2: –, ÷, +, ×, =
Option 3: +, ÷, ×, –, =
Option 4: ÷, –, +, ×, =
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Correct Answer: +, ÷, ×, –, =
Solution :
Given:
9 * 16 * 64 * 8 * 2 * 9
Replace * with the mathematical signs and solve the equations one by one using BODMAS.
Let's check the given options –
First option:
÷, +, ×, –, =
9 ÷ 16 + 64 × 8 – 2 = 9
Solving the L.H.S. of the equation –
= 0.5625 + 64 × 8 – 2
= 0.5625 + 512 – 2
= 510.5625 ≠ 9
Second option:
–, ÷, +, ×, =
9 – 16 ÷ 64 + 8 × 2 = 9
Solving the L.H.S. of the equation –
= 9 – 0.25 + 8 × 2
= 9 – 0.25 + 16
= 25 – 0.25
= 24.75 ≠ 9
Third option:
+, ÷, ×, –, =
9 + 16 ÷ 64 × 8 – 2 = 9
Solving the L.H.S. of the equation –
= 9 + 0.25 × 8 – 2
= 9 + 2 – 2
= 9
Fourth option:
÷, –, +, ×, =
9 ÷ 16 – 64 + 8 × 2 = 9
Solving the L.H.S. of the equation –
= 0.5625 – 64 + 8 × 2
= 0.5625 – 64 + 16
= –47.4375 ≠ 9
So, only the third option satisfies the given equation. Hence, the third option is correct.
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