Classify 3 81 , 2 6 4 6 , – 4.0 , , 5 , 10.124124........ as rational or irrational withjustification
Question
Classify 3 81 , 2 6 4 6 , – 4.0 , , 5 , 10.124124........ as rational or irrational withjustification
Solution
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3: This is a rational number because it can be expressed as a fraction (3/1).
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81: This is also a rational number because it can be expressed as a fraction (81/1).
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(2+6) - (4+6): This simplifies to 8 - 10 = -2, which is a rational number because it can be expressed as a fraction (-2/1).
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-4.0: This is a rational number because it can be expressed as a fraction (-4/1).
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π (Pi): This is an irrational number. It cannot be expressed as a fraction and its decimal representation never ends or repeats.
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5: This is a rational number because it can be expressed as a fraction (5/1).
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10.124124...: This is a rational number because its decimal representation is repeating. It can be expressed as a fraction.
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