## haileynicole 3 years ago Name the sets of numbers to which each number belongs.. (rational, real, irrational, integers, whole and natural.) 1.) -4/3 how would i figure this out explain please

1. barrycarter

Hint: what are the definitions of each type of number?

2. haileynicole

is it inverse?

3. barrycarter

No, I mean: what's a rational number? what's an irrational number, and so on?

4. aliceglass20

Here are some quick definitions: Integer: Whole number (ie number with no decimal parts). Natural number: Any whole number that is positive and not zero (eg: 1, 2, 3, 4...) Rational Number: Number that can be written as a fraction of two integers. Irrational Number: A number that CANNOT be written as a fraction of two integers. Real Number: At the moment, it's pretty much any number you can think of. So every number is a real number (for now). You'll find on later in algebra that there are other types of numbers that are not real numbers.

5. haileynicole

so its rational?

6. barrycarter

Yes, since it's -4 (an integer) over 3 (another integer)

7. haileynicole

okay thank you. and then the book has an example of the square root of -144= -12 belongs to the set of integers, the set of rationals, and the set of reals... do i need to find a number like they did? (-12)

8. barrycarter

Ummm, the square root of (-144) doesn't exist. Did you mean minus the square root of plus 144?

9. haileynicole

minus the square root. sorry. and i looked in the back of the book and got it figured out. thanks for the help!