Question : Directions: Which two signs need to be interchanged to make the following equation correct? 48 – 8 ÷ 4 + 5 × 6 = 32
Option 1: × and +
Option 2: ÷ and –
Option 3: × and ÷
Option 4: ÷ and +
Correct Answer: ÷ and –
Solution : Given: 48 – 8 ÷ 4 + 5 × 6 = 32
Let's check each option – First option: × and + On interchanging the mathematical signs, we get – 48 – 8 ÷ 4 × 5 + 6 = 32 On solving the L.H.S. of the equation – = 48 – 8 ÷ 4 × 5 + 6 = 48 – 2 × 5 + 6 = 48 – 10 + 6 = 44 ≠ 32 Second option: ÷ and – On interchanging the mathematical signs, we get – 48 ÷ 8 – 4 + 5 × 6 = 32 On solving the L.H.S. of the equation – = 48 ÷ 8 – 4 + 5 × 6 = 6 – 4 + 5 × 6 = 6 – 4 + 30 = 32 Third option: × and ÷ On interchanging the mathematical signs, we get – 48 – 8 × 4 + 5 ÷ 6 = 32 On solving the L.H.S. of the equation – = 48 – 8 × 4 + 5 ÷ 6 = 48 – 8 × 4 + 0.83 = 48 – 32 + 0.83 = 16.83 ≠ 32 Fourth option: ÷ and + On interchanging the mathematical signs, we get – 48 – 8 + 4 ÷ 5 × 6 = 32 On solving the L.H.S. of the equation – = 48 – 8 + 4 ÷ 5 × 6 = 48 – 8 + 0.8 × 6 = 48 – 8 + 4.8 = 44.8 ≠ 32
So, only the second option satisfies the equation. Hence, the second option is correct.
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Question : Directions: Which two signs must be interchanged to correct the following equation? 32 − 8 ÷ 4 + 5 × 6 = 30
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