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Number Systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber Systems1 Mark
Question
State whether the following statements are true or false? Justify your answer. There are numbers which cannot be written in the form $\frac{\text{p}}{\text{q}},\text{ q}\neq0, \text{ p, q}$ both are integers.
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Answer

True. Solution: Because there are infinitely many numbers which cannot be written in the form $\frac{\text{p}}{\text{q}},\text{ q}\neq0, \text{ p, q}$ both are integers and these numbers are called irrational numbers.

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