Question

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

Answer 1

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

Answer 2

is it inverse?

Answer 3

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

Answer 4

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.

Answer 5

so its rational?

Answer 6

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

Answer 7

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)

Answer 8

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

Answer 9

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