Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

You are watching: What is a rational number but not an integer

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

$$fracab,: b eq 0$$

Where a and b are both integers.

Example

The number 4 is an integer as well as a rational number. As it can be written without a decimal component it belongs to the integers. It is a rational number because it can be written as:

$$frac41$$

Or

$$frac82$$

Or even

$$frac-8-2$$

Whereas

$$frac15=0.2$$

is a rational number but not an integer.

A rational number written in a decimal form can either be terminating as in:

$$frac15=0.2$$

Or repeating as in

$$frac56=0.83333...$$

All rational numbers belong to the real numbers.

See more: How Do You Say Carrot In Spanish For Carrot, How To Say “Carrot” In Spanish

Video lesson

Write as rational numbers


More classes on this subject
Pre-AlgebraMore about the four rules of arithmetic: Calculating with decimals and fractionsPre-AlgebraMore about the four rules of arithmetic: Geometric sequences of numbersPre-AlgebraMore about the four rules of arithmetic: Scientific notation

Next Chapter:


MORE ABOUT THE FOUR RULES OF ARITHMETIC – Learn how to estimate calculations
Search
Math Playground
All courses
Pre-Algebra
All courses
Introducing Algebra
Introducing Algebra
Explore and understand integers
Explore and understand integers
Inequalities and one-step equations
Inequalities and one-step equations
Discover fractions and factors
Discover fractions and factors
More about the four rules of arithmetic
More about the four rules of arithmetic
More about equation and inequalities
More about equation and inequalities
Graphing and functions
Graphing and functions
Ratios and percent
Ratios and percent
Probability and statistic
Probability and statistic
Introducing geometry
Introducing geometry
Area and Volume
Area and Volume
Right triangles and algebra
Right triangles and algebra
Algebra 1
All courses
Algebra 2
All courses
Geometry
All courses
SAT
All courses
ACT
All courses

*
chathamtownfc.net is licensed by Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 Internationell-licens.