Question : Directions: Which two signs need to be interchanged to make the following equation correct? 352 × 8 − 330 + 125 ÷ 4 = 214
Option 1: + and ×
Option 2: − and ÷
Option 3: + and ÷
Option 4: × and ÷
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Correct Answer: × and ÷
Solution : Given: 352 × 8 − 330 + 125 ÷ 4 = 214
Let's check the options – First options: + and × 352 + 8 − 330 × 125 ÷ 4 = 214 On solving the L.H.S. of the given equation – = 352 + 8 − 330 × 125 ÷ 4 = 352 + 8 − 330 × 31.25 = 352 + 8 − 10312.5 = –9952.5 ≠ 214 Second option: − and ÷ 352 × 8 ÷ 330 + 125 − 4 = 214 On solving the L.H.S. of the given equation – = 352 × 8 ÷ 330 + 125 − 4 = 352 × 0.024 + 125 − 4 = 8.448 + 125 − 4 = 129.448 ≠ 214 Third option: + and ÷ 352 × 8 − 330 ÷ 125 + 4 = 214 On solving the L.H.S. of the given equation – = 352 × 8 − 330 ÷ 125 + 4 = 352 × 8 − 2.64 + 4 = 2816 − 2.64 + 4 = 2817.36 ≠ 214 Fourth option: × and ÷ 352 ÷ 8 − 330 + 125 × 4 = 214 On solving the L.H.S. of the given equation – = 352 ÷ 8 − 330 + 125 × 4 = 44 − 330 + 125 × 4 = 44 − 330 + 500 = 214
So, the fourth option satisfies the equation. Hence, the fourth option is correct.
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