Question : Directions: Select the correct combination of mathematical signs that can sequentially replace the * signs from left to right to balance the following equation.
30 * 3 * 16 * 4 * 24 * 70
Option 1: ×, ÷, +, –, =
Option 2: ÷, ×, –, +, =
Option 3: ×, +, ÷, –, =
Option 4: +, ×, –, ÷, =
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Correct Answer: ×, +, ÷, –, =
Solution :
Given:
30 * 3 * 16 * 4 * 24 * 70
Let's check each option –
First Option:
×, ÷, +, –, =
30 × 3 ÷ 16 + 4 – 24 = 70
Solving the L.H.S. of the given equation –
= 30 × 0.1875 + 4 – 24
= 5.625 + 4 – 24
= –14.375 ≠ 70
Second Option:
÷, ×, –, +, =
30 ÷ 3 × 16 – 4 + 24 = 70
Solving the L.H.S. of the given equation –
= 10 × 16 – 4 + 24
= 160 – 4 + 24
= 180 ≠ 70
Third Option:
×, +, ÷, –, =
30 × 3 + 16 ÷ 4 – 24 = 70
Solving the L.H.S. of the given equation –
= 30 × 3 + 4 – 24
= 90 + 4 – 24
= 70
Fourth Option:
+, ×, –, ÷, =
30 + 3 × 16 – 4 ÷ 24 = 70
Solving the L.H.S. of the given equation –
= 30 + 3 × 16 – 0.167
= 30 + 48 – 0.167
= 77.833 ≠ 70
So, only the third option satisfies the equation. Hence, the third option is correct.
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