The ratio of integers to rational numbers is 0.
NO it is not irrational, that is to say it IS rational. If you can write a number as ratio of integers, it is rational. -11.7 can certainly be written as a ratio of integers.
0.57 can be written as 57/100. 57 and 100 are both integers and therefore 0.57 can be written as a ratio of 2 integers. A number that can be written as a ratio of two integers is a rational number because the word rational comes from ratio.
Rational
Yes, -0.15 is a rational number. A rational number is any number that can be expressed as a ratio of two integers, where the denominator is not zero. In this case, -0.15 can be expressed as -15/100, which is a ratio of two integers (-15 and 100). Therefore, -0.15 is a rational number.
Sure. Let's take an example with numbers instead of variables. 8/9 is a rational number - the ratio of two integers. If you square it, you get (8/9)2 = 82/92 = 64/81; that is, if you square each integer, you get an integer again. Therefore, the resulting number is rational again - a number that can be expressed as the ratio of two integers. Replace with any other integers; you will still have a ratio of integers if you square it.
a ratio of integers
Not quite. A rational number is a ratio and each rational number is a ratio of specific pairs of integers - not ANY two integers. And, of course, 0 is not allowed on the denominator.
A number that cannot be expressed as the ratio of two integers is known as an irrational number.
The ratio is not defined.
Any number that can be expressed as the ratio of two integers is a rational number.
NO it is not irrational, that is to say it IS rational. If you can write a number as ratio of integers, it is rational. -11.7 can certainly be written as a ratio of integers.
The ratio of two integers, p and q where q is not 0, can be expressed as p:q or p/q.
ratio of two integers, p/q where q is not equal to zero.
Yes. But if you have a ratio of two integers, the ratio will be rational by definition.
No. It is a ratio of TWO - not ONE - integers.
No
The intersection of integers and rational numbers is the set of integers. Integers are whole numbers that can be positive, negative, or zero, while rational numbers are numbers that can be expressed as a ratio of two integers. Since all integers can be expressed as a ratio of the integer itself and 1, they are a subset of rational numbers, making their intersection the set of integers.