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Is -11.7 an irrational 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.
How would you convince a fellow student that the number 0.57 is a rational number?
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.
Numbers that can be written as the ratio of two integers are called what numbers?
Rational
Is -0.15 a rational number?
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.
Square of a rational number is rational?
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.
