Question

Are there some more general sets i can add to this:
\[\mathbb{N}\subset\mathbb{Z}\subset\mathbb{Q}\subset\mathbb{R}\subset\mathbb{C}\]

Answer 1

What do Q and C stand for?

Answer 2

Q is the ration numbers
C is the complex numbers

Answer 3

rational*

Answer 4

i think it's enough

Answer 5

But there is D

Answer 6

what is D?

Answer 7

D is the decimal numbers.

Answer 8

A decimal number is a number with a decimal expansion limited, that is to say, a number which is written in any quantity, but finite, numbers after the decimal point.

Answer 9

ah i did not know that before,
i guess they are between the integers Z
and the Rational numbers Q
\[\mathbb{N}\subset\mathbb{Z}\subset\mathbb{D}\subset\mathbb{Q}\subset\mathbb{R}\subset\mathbb{C}\]

Answer 10

YES

Answer 11

but we généraly we talk about Q

Answer 12

yeah the D is a special Q where the denominator is 10^N

Answer 13

Hey, you could include W(whole numbers) between N and Z. They include all natural numbers and are included in the set of integers.

Answer 14

what is the difference between the whole numbers and the integers?

Answer 15

Whole numbers mean 0,1,2,3... and integers are ...-3,-2,-1,0,1,2,3...

Answer 16

ok then what is the difference between the natural numbers N and the whole numbers W?

Answer 17

Natural numbers include 1,2,3..They don't include 0, but whole numbers do.

Answer 18

ah ok, well i would define natural numbers to include 0 but not everybody does

your definition would have
\[\mathbb{N}\subset\mathbb{W} \subset\mathbb{N}\subset\mathbb{Z}\subset\mathbb{D}\subset\mathbb{Q}\subset\mathbb{R}\subset\mathbb{C}\]

Answer 19

\[\mathbb{N}\subset\mathbb{W} \subset\mathbb{N}\subset\mathbb{Z}\subset\mathbb{D}\subset\mathbb{Q}\subset\mathbb{R}\subset\mathbb{C} \subset\mathbb{H}\subset\mathbb{O}\subset\mathbb{S}\]