# What is the Math term to refer to any number greater than 0 but less than 1?

#### drunkenFlower

##### New Member
Hi,
I'm trying to find a term that refers to 'n' in this equation.
0<n<1
Basically, it's any number that is greater than 0 and less than 1.
Any idea?
Thanks much!!

• #### gasman

##### Senior Member
I remember no specific term other than a "fraction of one".

#### drunkenFlower

##### New Member
Thank you very much #### panjandrum

##### Lapsed Moderator
A proper fraction is a fraction in which the numerator (top line) is less than the denominator (bottom line). A proper fraction is always greater than zero and less than one.

I don't think that is the term you are looking for.

#### Hebe-asteriod

##### Senior Member
These types of numbers are called "rational numbers" , but they do not necesarily have to be greater than one, they can also be negative

For instance - 1/4 = - 0.25, and -1/2 = - 0.5

(The numbers to the right of the equations above are called decimals)

#### drunkenFlower

##### New Member
Thank you Hebe-asteriod ..
The 'n' can not be negative .(Negative number is not greater than zero)
But thank you for sharing info #### cfu507

##### Senior Member
Two terms I know:
1. decimal fraction (e.g., 0.25, 0.79...)
2. simple fraction / common fraction (e.g., 1/5, 4/9...)

#### bianconera

##### Senior Member
Just to add to the "whole" parts of numbers, percentages would also be included with
decimals and proper fractions as mentioned already.
Example
1/2 = .50 = 50%

#### Moglet

##### Senior Member
These types of numbers are called "rational numbers"
Not strictly accurate, Hebe. Any non-repeating, non-terminating decimal between 0 and +1 (the scope of the current context) would be classified mathematically as an 'irrational number.'

For the life of me, I can't think of a single term other than Panj's 'proper fractions' to describe numbers between 0 and +1. One for the mathematicians?

#### drunkenFlower

##### New Member
Thank you everyone for your help #### Hebe-asteriod

##### Senior Member
Not strictly accurate, Hebe. Any non-repeating, non-terminating decimal between 0 and +1 (the scope of the current context) would be classified mathematically as an 'irrational number.'

For the life of me, I can't think of a single term other than Panj's 'proper fractions' to describe numbers between 0 and +1. One for the mathematicians?

That’s right Moglet: the scope above falls within the set of Real (non-integer) numbers (which includes the sets of both rational and irrational numbers). Yet, as I pointed out they can be lower than zero (negative numbers). As for numbers greater than zero, I really don’t think that there is any specific classification other than Natural Numbers (integers greater than zero, which fall out of the scope given here) .

Best regards

#### Outsider

##### Senior Member
If you are referring to all numbers that lie between 0 and 1, then I don't know of any standard term for them. Note that they are not all simple fractions, though all simple fractions are in that interval. For example, 2/3 is not a "simple fraction" (or "unit fraction"). Moreover, many of the numbers between 0 and 1 are irrational, and therefore cannot be expression as the ratio of two integers, so I don't think that "proper fraction" works, either.

Informally, I might use the term "proportion" for such a number.

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#### Grop

##### Senior Member
I suspect this is typically called a real number (which includes irrationnal and rationnal numbers), and that you need several words to describe the fact it is strictly positive and inferior to one.

(However, I have done all my maths in French language).

#### aaaaaaaa777

##### New Member
A proper fraction where the numerator is smaller than the denominator I guess? it can't be a mixed number or an improper fraction I'll tell you that.

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