# Rational numbers

*Negative integers. Series of negative integers.*

*Fractional negative numbers. Positive numbers.*

*Rational numbers.*

*
Negative integers
*
appear, when the greater integer is subtracted from the
smaller one, for instance:

10 – 15 = – 5 .

The sign “minus” before 5 shows, that this number is negative.

**
Series of negative integers
**
continue endlessly:

–1, –2, –3, – 4, –5, …

**are natural numbers, negative integers and zero:**

*Integers*

... , –3, –2, –1, 0, 1, 2, 3, ...

**
Fractional negative numbers
**
appear, for example, when the greater number is subtracted from the smaller one:

Also it is possible to say, that fractional negative numbers appear as a result division of a negative integer by a natural number:

**
Positive numbers
**
in contrast to

**(integers and fractional ones), are the numbers, considered in**

*negative numbers**arithmetic*(also integers and fractional ones).

**
Rational numbers
**
–
positive and negative numbers (integers and fractional
ones) and zero. The more exact definition of rational numbers, adopted in
mathematics, is the following:

*
A number is called
rational
, if
it may be presented as a vulgar, not a
*

*cancelled fraction of the shape:*

**,**

*m / n**where*

*m**is an integer, and*

**n**is a natural number.