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Home > Pre-Algebra calculators > Classifying numbers (Rational,Irrational,Real,Natural,Integer) example
16. Rational,Irrational,Real,Natural,Integer Property example ( Enter your problem )
( Enter your problem )
  1. Example-1
 		Other related methods
  1. Decimal to Fraction
  2. Fraction to Decimal
  3. Decimal to Percentage
  4. Percentage to Decimal
  5. Decimal to Standard form
  6. Standard form to Decimal form
  7. Expanded form of a number
  8. Succeeding number
  9. Preceding number
  10. Even or odd number
  11. Comparing Numbers (Greater Than Or Less Than)
  12. Minimum number
  13. Maximum number
  14. Ascending, Descending order of numbers
  15. Rounding Numbers
  16. Classifying numbers (Rational,Irrational,Real,Natural,Integer)
  17. Terminating or non terminating decimal expansion
  18. Additive inverse
  19. Multiplicative inverse
  20. Opposite number
  21. Reciprocal number
  22. Absolute value of a number
  23. +, -, *, / of numbers
  24. Model +, - of numbers
  25. Simplify expression
15. Rounding Numbers
(Previous method)		17. Terminating or non terminating decimal expansion
(Next method)

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

This material is intended as a summary. Use your textbook for detail explanation.
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15. Rounding Numbers
(Previous method)		17. Terminating or non terminating decimal expansion
(Next method)


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