# is -1/9 a rational number?

• Hi,

For this question, you need to realize that a rational number is one that can be expressed as a/b where 'a' and 'b' are integers.

Therefore, -1/9 is expressed as a/b where a = -1 and b = 9 which makes this a rational number.

I hope that helps you out! Please let me know if you have any other questions!

• Yes.

A rational number is any number that can be expressed as the ratio of two integers.

-1 is an integer, and 9 is an integer, so -1/9 is rational. (Hence the "ratio" part of the word).

By the way, any number with a repeating decimal sequence can be expressed as a ratio of two integers, and is thus rational.

Hope that helps!

• YES.

Any number in the form p/q, where p and q are co-primes (that is they don't have

any common factor between them) and q not equal to zero is called a rational number;

Here p = -1, and q = 9, which is not zero as well there are no common factors between -1 and 9;

Hence it is a rational number.

Further if you consider its decimal form, it is

-0.111111111111------

which is non-terminating recurring decimal.

Any decimal representation, which is either terminating or non-terminating repeating decimal representation, then they are called rational numbers. So by this way also it is a rational number.

• I have seen that on a thermometer in Minnesota. Its a rational number with an irrational comfort level.

• yes, because it has a repeating pattern of digits. Also, by definition, a rational number is any number that can be expressed as an integer over another integer. Both -1 and 9 are integers.

EDIT:

By the way, could someone please explain to me why my comment was given three thumbs down?

• yes

-0.11111111... is a reacquiring decimal and therefor it is a rational number.

• yes

• YES