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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