Question

medal for best answer. name the subset(s) of the real numbers to which each number belongs.
4

Answer 1

Let's start with the top. The number will complex, meaning it is either real, or imaginary. The defining factor is that the term "i" is not in the number, meaning that is is a real number. The next possible set is the rational and irrational sets. As the number has a terminating decimal point, the number is rational. Taking into account the lack of numbers past the decimal, the number is also an integer, but as a positive integer, it falls into the set of whole numbers. Finally, as the number is not 0, the number belongs to the set of natural numbers.

Answer 2

Hello? @allen10

Answer 3

so 4 is a natural number?

Answer 4

yes

Answer 5

what about 2/3 ? how would i do that one.

Answer 6

2/3 would be the same as 4 until the real numbers. Since 2/3 can be written as a decimal value, and the value does not terminate (It's 0.66666666666...) It is an irrational number.

Answer 7

is 0 irrational?

Answer 8

No, it doesn't have any decimals at all, so it can't be an irrational number. It's a member of the whole number set, which is basically the counting numbers (natural numbers) with zero added.

Answer 9

0 is a natural number?

Answer 10

No, It's a Whole number.

Answer 11

The natural numbers are the set {1, 2, 3, 4, ...}

Answer 12

ok. i understand now, thank you!

Answer 13

no problem