Question : Directions: Which two signs should be interchanged to make the given equation correct? 9 ÷ 3 + 7 = 4 – 6
Option 1: – and =
Option 2: ÷ and –
Option 3: + and –
Option 4: ÷ and =
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Correct Answer: – and =
Solution : Given: 9 ÷ 3 + 7 = 4 – 6
Replace the given symbols according to the options one by one with the original symbols in the given equation. First option: – and = ⇒ 9 ÷ 3 + 7 – 4 = 6 = 3 + 7 – 4 = 6 = R.H.S. Second option: ÷ and – ⇒ 9 – 3 + 7 = 4 ÷ 6 = 13 ≠ 0.67 Third option: + and – ⇒ 9 ÷ 3 – 7 = 4 + 6 = 3 – 7 = 10 = –4 ≠ 10 Fourth option: ÷ and = ⇒ 9 = 3 + 7 ÷ 4 – 6 = 9 = 3 + 1.75 – 6 = 9 ≠ –1.25
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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