Question : Directions: Select the correct equation after interchanging operations + and – and numbers 4 and 8.
Option 1: 2 + 8 – 4 = 9
Option 2: 8 + 4 – 2 = 10
Option 3: 4 – 8 + 11 = 1
Option 4: 4 – 8 + 11 = 8
Correct Answer: 4 – 8 + 11 = 1
Solution : Let's check each option – First Option: 2 + 8 – 4 = 9 On interchanging the mathematical signs and numbers, we get – 2 – 4 + 8 = 9 L.H.S. = 2 – 4 + 8 = 6 L.H.S. ≠ R.H.S. Second Option: 8 + 4 – 2 = 10 On interchanging the mathematical signs and numbers, we get – 4 – 8 + 2 = 10 L.H.S. = 4 – 8 + 2 = –2 L.H.S. ≠ R.H.S. Third Option: 4 – 8 + 11 = 1 On interchanging the mathematical signs and numbers, we get – 8 + 4 – 11 = 1 L.H.S. = 8 + 4 – 11 = 1 L.H.S. = R.H.S. Fourth Option: 4 – 8 + 11 = 8 On interchanging the mathematical signs and numbers, we get – 8 + 4 – 11 = 4 L.H.S. = 8 + 4 – 11 = 1 L.H.S. ≠ R.H.S.
So, only the third option satisfies the equation. Hence, the third option is correct.
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