 # Numerical Properties for 15/20

## Enter Expression

Determine characteristics for 15/20
• Rational
• Irrational
• Natural
• Whole
• Imaginary

## Fraction Check

Since 15/20 is a fraction, we use our long division decimal calculator to get 0.75

## Natural Number Test

Counting numbers > 0: 1,2,3,4,5,...
Since 0.75 is not both positive and a counting number, 0.75 is not a natural number

## Whole Number Test

Whole Numbers are positive numbers
They include 0
They have no decimal or fractional parts
Since 0.75 is not >= 0 and an integer, 0.75 is not a whole number

## Integer Test

Integers have no fractions or decimals
-5,-4,-3,-2,-1,0,1,2,3,4,5,...
0.75 is not an integer

## Rational Number Test

Check for integer or decimal
Rationals = a/b
where a and b are integers<
and b ≠ 0.
Since 0.75 is an integer or decimal from above, 0.75 is also a rational

## Irational Number Test

They do not form a ratio between two integers
They are not an imaginary number.

## Imaginary Number Test

Test for square root of a negative
Since 0.75 is not the square root of a negative number, it is not imaginary

• Rational

• Rational

### How does the Rational,Irrational,Natural,Integer Property Calculator work?

Free Rational,Irrational,Natural,Integer Property Calculator - This calculator takes a number, decimal, or square root, and checks to see if it has any of the following properties:
* Integer Numbers
* Natural Numbers
* Rational Numbers
* Irrational Numbers Handles questions like: Irrational or rational numbers Rational or irrational numbers rational and irrational numbers Rational number test Irrational number test Integer Test Natural Number Test
This calculator has 1 input.

### What 4 formulas are used for the Rational,Irrational,Natural,Integer Property Calculator?

1. A number is natural if it is one of the counting numbers (greater than 0), i.e., 1,2,3,4,5,...
2. Whole Numbers are positive numbers, including 0, with no decimal or fractional parts
3. Integers are a whole number (no fractions or decimals) positive or negative including the number 0, ...,-5,-4,-3,-2,-1,0
4. Imaginary numbers are the square root of a negative number

For more math formulas, check out our Formula Dossier

### What 7 concepts are covered in the Rational,Irrational,Natural,Integer Property Calculator?

imaginary number
a real number multiplied by the imaginary unit i, which is defined by its property i2 = -1.
integer
a whole number; a number that is not a fraction
...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...
irrational number
a number that can NOT be expressed as the quotient or fraction p/q of two integers
natural number
the positive integers (whole numbers)
1, 2, 3, ...
rational number
a number that can be expressed as the quotient or fraction p/q of two integers
rational,irrational,natural,integer property
whole number
numbers that include natural numbers and zero
{0, 1, 2, 3, ...}

## Rational,Irrational,Natural,Integer Property Infographic 