Question : Directions: Choose the correct sequence of signs for balancing the following equation.
8 _ 4 _ 2 _ 6 _ 3 = 19
Option 1: +, ×, –, ÷
Option 2: ÷, +, –, ×
Option 3: ×, ÷, –, +
Option 4: ×, ÷, +, –
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Correct Answer: ×, ÷, +, –
Solution :
Given:
8 _ 4 _ 2 _ 6 _ 3 = 19
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
+, ×, –, ÷
8 + 4 × 2 – 6 ÷ 3 = 19
On solving the L.H.S. of the given equation –
= 8 + 4 × 2 – 2
= 8 + 8 – 2
= 14 ≠ 19
Second option:
÷, +, –, ×
8 ÷ 4 + 2 – 6 × 3 = 19
On solving the L.H.S. of the given equation –
= 2 + 2 – 6 × 3
= 2 + 2 – 18
= –14 ≠ 19
Third option:
×, ÷, –, +
8 × 4 ÷ 2 – 6 + 3 = 19
On solving the L.H.S. of the given equation –
= 8 × 2 – 6 + 3
= 16 – 6 + 3
= 13 ≠ 19
Fourth option:
×, ÷, +, –
8 × 4 ÷ 2 + 6 – 3 = 19
On solving the L.H.S. of the given equation –
= 8 × 2 + 6 – 3
= 16 + 6 – 3
= 19
So, the fourth option satisfies the given equation. Hence, the fourth option is correct.
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