InterviewSolution
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InterviewSolution
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Say true or false and justify your answer:(i) 10 × 1011 = 10011(ii) 23 > 52(iii) 23 × 32 = 65(iv) 30 = (1000)0 |
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Answer» (i) 10 × 1011 = 10011 L.H.S = 10 × 1011 = 101 + 11 = 1012 RHS 10011 = (10 × 10)11 = (102)11 = 102 × 11 = 1022 ∴ 1012 ≠ 1022 So 10 × 1011 ≠ 10011 ∴ It is false. (ii) 23 > 52 = 2 × 2 × 2 > 5 × 5 = 8 > 25 ∴ 23 > 52 ∴ It is false. (iii) 23 × 32 = 65 = 2 × 2 × 2 × 3 × 3 = 6 × 6 × 6 × 6 × 6 = 72 = 7776 ∴ 23 × 32 ≠ 65 ∴ It is false. (iv) 30 = (1000)0 1 = 1 ∴ 30 = (1000)0 ∴ It is true |
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