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Home > Pre-Algebra > Decimal > Classifying numbers (Rational,Irrational,Real,Natural,Integer) example
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16. Rational,Irrational,Real,Natural,Integer Property example
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1. Example-1
1. Find Rational,Irrational,Real,Natural,Integer Property of `8`Solution:`8` So, `8` is a natural number
2. Find Rational,Irrational,Real,Natural,Integer Property of `-5`Solution:`-5` `-5` is the negative number So, `-5` is an integer number
3. Find Rational,Irrational,Real,Natural,Integer Property of `1/3`Solution:`1/3` `1/3` is a fraction number So, `1/3` is a rational number
4. Find Rational,Irrational,Real,Natural,Integer Property of `0.583`Solution:`0.583` The decimal `0.583` stops after the `3` So, `0.583` is a rational number
5. Find Rational,Irrational,Real,Natural,Integer Property of `0.605551275...`Solution:`0.605551275...` `0.605551275...` has no repeating block of digits and it does not stop So, `0.605551275...` is an irrational number
6. Find Rational,Irrational,Real,Natural,Integer Property of `0.3333333...`Solution:`0.3333333...` The 3 repeats in `0.3333333...` So, `0.3333333...` is a rational number
7. Find Rational,Irrational,Real,Natural,Integer Property of `sqrt(64)`Solution:`sqrt(64)` `64` is a perfect square, since `8^2=64`. So `sqrt(64)=8` So, `sqrt(64)` is a rational number
8. Find Rational,Irrational,Real,Natural,Integer Property of `sqrt(5)`Solution:`sqrt(5)` `2^2=4` and `3^2=9`, so `5` is not a perfect square. Therefore, the decimal form of `sqrt(5)` will never repeat and never stop So, `sqrt(5)` is an irrational number
9. Find Rational,Irrational,Real,Natural,Integer Property of `sqrt(-5)`Solution:`sqrt(-5)` There is no real number whose square is `-5` So, `sqrt(-5)` is a complex number
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