Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs from left to right to balance the given equation.
44 * 32 * 8 * 16 * 3 * 0
Option 1: +, ×, –, ÷, =
Option 2: ×, +, –, ÷, =
Option 3: +, –, ×, ÷, =
Option 4: +, ÷, –, ×, =
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Correct Answer: +, ÷, –, ×, =
Solution :
Given:
44 * 32 * 8 * 16 * 3 * 0
Let's check each option –
First Option:
+, ×, –, ÷, =
44 + 32 × 8 – 16 ÷ 3 = 0
Solving the L.H.S. of the given equation –
= 44 + 32 × 8 – 5.33
= 44 + 256 – 5.33
= 294.67 ≠ 0
Second Option:
×, +, –, ÷, =
44 × 32 + 8 – 16 ÷ 3 = 0
Solving the L.H.S. of the given equation –
= 44 × 32 + 8 – 5.33
= 1408 + 8 – 5.33
= 1410.67 ≠ 0
Third Option:
+, –, ×, ÷, =
44 + 32 – 8 × 16 ÷ 3 = 0
Solving the L.H.S. of the given equation –
= 44 + 32 – 8 × 5.33
= 44 + 32 – 42.64
= 33.36 ≠ 0
Fourth Option:
+, ÷, –, ×, =
44 + 32 ÷ 8 – 16 × 3 = 0
Solving the L.H.S. of the given equation –
= 44 + 4 – 16 × 3
= 44 + 4 – 48
= 0
So, only the fourth option satisfies the equation. Hence, the fourth option is correct.
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