Question

Identify all sets to which each number belongs -4

Answer 1

The numbering system can be as shown below:

Real Numbers

Rational Irrational

|

Integers

|

Whole Numbers

|

Natural Numbers

Now,

Natural Numbers are 1, 2, 3, 4, 5, ....

Whole numbers are Naturals PLUS 0, so

Whole Numbers are 0, 1, 2, 3, ....

Integers are whole numbers PLUS the negative counter-parts, so

Integers are ... -3, -2, -1, 0 , 1, 2, 3, ....

These are all Rational Numbers.

note: fractions are rationals

Irrationals are numbers that can't be written as fractions, such as:

`\pi,\sqrt[]{2},\sqrt[]{5}`

For this problem, we want to know the sets (number set) on which "-4" falls under.

Definitely, we can move up the diagram,

so not whole, not natural, BUT INTEGERS.

Also, RATIONAL NUMBERS, and the main category ---- Real Numbers.

So,

-4 falls under the set of:

Real Numbers

Rational Numbers

Integers