Yes, 2.6 is a Rational Number
A rational number is defined as a real number in the form of
Rational numbers involve all positive integers and negative integers. Even 0 is rational as it has a non-zero denominator.
Mathematical representation of rational numbers is A/B
where B is not equal to Zero(0)
For example:
- 2/3 is a rational number
- 4 is also a rational number, as 4 can be written as 4/1
-
is also a rational number as it can further be written as 5, and 5 can be written as 5/1, which is a fractional form
So, we can say that if we can write it in ratio or fraction form, then it is a rational number.
Now let’s jump into the question.
2.6 as a Rational Number
Yes, 2.6 is a Rational Number, as it can be expressed in fraction or ratio form.
Proof:
Number 2.6 can be represented as shown below:
=> 2.6 = 26/10
This can be further broken down as,
⇒26/10 = 13/5
Number 13/5 is the ratio of two integers that are 13 integers divided by 5 integers and expressed in fraction form (as p/q where q is not equal to 0).
Hence, 2.6 is a rational number.
Similar Questions
Is 2.5 a rational number?
Yes, 2.5 is a rational number as its fractional expression will be 5/2 which is a ratio of two integers that is 5 integer being divided by 2 integer.
Can decimal values be rational numbers?
Yes, decimal values can be rational numbers as rational numbers can be written in both fraction as well as decimal form. But, the decimal value needs to be definite or have repeating digits after decimal point.