Are all natural numbers also whole numbers?
Last updated date: 25th Mar 2023
•
Total views: 308.1k
•
Views today: 2.84k
Answer
308.1k+ views
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.
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.
Recently Updated Pages
If a spring has a period T and is cut into the n equal class 11 physics CBSE

A planet moves around the sun in nearly circular orbit class 11 physics CBSE

In any triangle AB2 BC4 CA3 and D is the midpoint of class 11 maths JEE_Main

In a Delta ABC 2asin dfracAB+C2 is equal to IIT Screening class 11 maths JEE_Main

If in aDelta ABCangle A 45circ angle C 60circ then class 11 maths JEE_Main

If in a triangle rmABC side a sqrt 3 + 1rmcm and angle class 11 maths JEE_Main

Trending doubts
Difference Between Plant Cell and Animal Cell

Write an application to the principal requesting five class 10 english CBSE

Ray optics is valid when characteristic dimensions class 12 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Write a letter to the principal requesting him to grant class 10 english CBSE

List out three methods of soil conservation

Epipetalous and syngenesious stamens occur in aSolanaceae class 11 biology CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

A Short Paragraph on our Country India
