Whole Numbers
The natural numbers along with zero are called the Whole NumbersSince, the natural numbers are 1, 2, 3, 4, 5, . . . . .
Thus, 0, 1, 2, 3, 4, 5, . . . . . are the examples of Whole Numbers
Solution of Try These Exercise
Question (1) Are all natural numbers also whole numbers?
Answer
Yes, all natural numbers also whole numbers.
Explanation
Since, whole numbers are the natural numbers along with zero. Hence All natural numbers also whole numbers.
Question (2) Are all whole numbers also natural numbers?
Answer
No, all whole numbers are not also natural numbers, because zero (0) is not a natural number but a whole number.
Explanation
Since, zero is a whole number, but not a natural number.
Because natural numbers are , 2, 3, 4, 5, 6, . . . .
This means the first natural number is 1 and there is no predecessor of this natural number. That means zero (0) is not a natural number.
Hence, all whole numbers are not also natural numbers.
Question (3) Which is the greatest whole number?
Answer
Whole numbers are countless; this means we can count whole numbers up to infinity. Thus no whole number is the greatest whole number.
Operation on Whole Numbers
All operations, such as addition, subtraction, multiplication, and division of whole numbers are done by using general rule or method.
Properties of Operations on Whole Numbers
(1) The sum of two whole numbers is also a whole number.
Example
(a) 6 + 10 = 16
In the above example, 6 and 10 are the whole numbers. And their sum which is equal to 16 is also a whole number.
(b) 5 + 6 = 11
In the above example, 5 and 6 are the whole numbers. And their sum which is equal to 11 is also a whole number.
(c) 15 + 16 = 31
In the above example, 15 and 16 are the whole numbers. And their sum which is equal to 31 is also a whole number.
(d) 20 + 12 = 32
In the above example, 20 and 12 are the whole numbers. And their sum which is equal to 32 is also a whole number.
(2) The subtraction, i.e. difference of two whole numbers is also a whole number.
Example
(a) 10 – 4 = 6
In the above example, 10 and 4, both are whole numbers. And the difference between 10 and 4 is 6 which is also a whole number.
(b) 15 – 3 = 12
In the above example, 15 and 3, both are whole numbers. And the difference between 15 and 3 is 12. Here 12 is also a whole number.
(c) 25 – 11 = 14
In the above example, 25 and 11, both are whole numbers. And when we subtract 11 from 25 we get 14. Here 14 is also a whole number.
(d) 21 – 8 = 13
In the above example, 21 and 8, both are whole numbers. And when we subtract 8 from 21 we get 13. Here 13 is also a whole number.
(e) 35 – 6 = 29
In the above example, 35 and 6, both are whole numbers. And when we subtract 6 from 35 we get 29. Here 29 is also a whole number.
(3) The results of multiplication of two whole numbers are also whole numbers.
Example
(a) 2 × 3 = 6
In the above example, 2 and 3 are whole numbers. When we multiply 2 by 3, we get 6. Here 6 is also a whole number.
(b) 4 × 5 = 20
In the above example, 4 and 5 are whole numbers. When we multiply 4 by 5, we get 20. Here 20 is also a whole number.
(c) 15 × 10 = 150
In the above example, 15 and 10 are whole numbers. When we multiply 15 by 10, we get 150. Here 150 is also a whole number.
(d) 9 × 100 = 900
In the above example, 9 and 100 are whole numbers. When we multiply 9 by 100, we get 900. Here 900 is also a whole number.
(4) The results of division of two whole numbers are not always whole numbers.
Example
(a) 6/2 = 3
In the above example, 6 and 2 are the whole numbers. When we divide 6 by 2, we get 3. Here 3 is also a whole number.
Thus, in this example (a) the result of division of two whole numbers is also a whole number.
(b) 32/8 = 4
In the above example, 32 and 8 are the whole numbers. When we divide 32 by 8, we get 4. Here 4 is also a whole number.
Thus, in this example (a) the result of division of two whole numbers is also a whole number.
(c) 7/4 = 1 3/7
In the above example, 7 and 4 are the whole numbers. When we divide 7 by 4, we get 1 3/7 which is not a whole number.
Thus, in this example (a) the result of division of two whole numbers is not a whole number.
(d) 15/2 = 7 1/2 or 7.5
In the above example, 15 and 2 are the whole numbers. When we divide 15 by 2, we get 7 1/2 or 7.5 which is not a whole number.
Thus, in this example (a) the result of division of two whole numbers is not a whole number.
(e) 100/3 = 33 1/3 or 33.333
In the above example, 100 and 3 are the whole numbers. When we divide 100 by 3, we get 33 1/3 or 33.333 which is not a whole number.
Thus, in this example (a) the result of division of two whole numbers is not a whole number.
Thus, the result of the division of two whole numbers is not always a whole number.