Rational,Irrational,Real,Natural,Integer Property Calculator

SolutionHelp

Solution

Solution provided by AtoZmath.com

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