Questions & Answers

Are all natural numbers also whole numbers?

Answer Verified Verified
Hint: We can conclude it by observing the definitions of both natural numbers and whole numbers and then consider a few examples in order to get clarity.

Complete step-by-step answer:
Let us look at the definitions of them:
NUMBER- A number tells us how many times a unit is contained in a given quantity.
Types of number system-
1) Binary number system
2) Octal number system
3) Hexadecimal number system
4) Roman number system
5) Decimal number system
DECIMAL NUMBER SYSTEM- Numeric values are represented by using digits from 0 to 9.
Again, numbers in the decimal system are classified as real numbers.
Real numbers are classified into rational numbers and irrational numbers.
Rational numbers are again classified into integer and non-integer rational numbers.
Again, integers are classified into-
1) Positive integer
2) Negative integer
3) Whole number
4) Natural number
NATURAL NUMBERS- Numbers starting from 1, having no fraction part, which we use in counting the objects, denoted by N.
N = {1, 2, 3, etc}
WHOLE NUMBERS- The system of Natural numbers along with number 0, is called whole number (W).
W = {0, 1, 2, 3, etc}
Hence, all natural numbers are also whole numbers.

Note: The vice versa does not hold that means all whole numbers are not natural numbers.
For suppose if you consider 0 it is a whole number but not a natural number.
Whereas, if you consider 1 it is both natural number and whole number.
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