Question

A number which is natural number whole number integer and rational number

Answer 1

Answer:

Natural numbers are all numbers 1, 2, 3, 4… They are the numbers you usually count and they will continue on into infinity.

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4…

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…

All integers belong to the rational numbers. A rational number is a number

ab,b≠0

Where a and b are both integers.

Step-by-step explanation:

The number 4 is an integer as well as a rational number. As it can be written without a decimal component it belongs to the integers. It is a rational number because it can be written as:

41

or

82

or even

−8−2

Whereas

15=0.2

is a rational number but not an integer.

A rational number written in a decimal form can either be terminating as in:

15=0.2

Or repeating as in

56=0.83333...

All rational numbers belong to the real numbers.

If you look at a numeral line

-4  -3  -2  -1  0  1  2  3  4

You notice that all integers, as well as all rational numbers, are at a specific distance from 0. This distance between a number x and 0 is called a number's absolute value. It is shown with the symbol

|x|

If two numbers are at the same distance from 0 as in the case of 10 and -10 they are called opposites. Opposites have the same absolute value since they are both at the same distance from 0.

|10|=10=|−10|

Answer 2

Answer:

0 is a rational number, whole number, integer, and a real number.

Explanation:

• Real numbers include natural numbers, whole numbers, integers, rational numbers, and irrational numbers.
• Rational numbers are in the form of p/q, where p and q can be any integer and q ≠ 0
• Irrational numbers are those real numbers that cannot be represented in the form of a ratio.
• An integer is a number with no decimal or fractional part, from the set of negative and positive numbers, including zero.
• Whole numbers include natural numbers (that begin from 1 onwards), along with 0.
• Natural numbers are a part of the number system, including all the positive integers from 1 till infinity.
• Now, considering the above definitions, we can say that 0 is a real number.
• 0 is also a rational number.
• The set of rational numbers include all the integers and whole numbers.
• Hence, 0 is also an integer and a whole number, however, it is not a natural number as natural numbers begin from 1 and go till infinity.

Hence, 0 is a rational number, whole number, integer, and a real number.