- Books Name
- CBSE Class 6 Mathematics Book
- Publication
- Param Publication
- Course
- CBSE Class 6
- Subject
- Mathmatics
Properties of multiplication
(i) Closure Property : If a and b are whole numbers, then their product a x b = c will always be a whole number. That is whole numbers are closed under multiplication.
For ex. 7 x 3 = 21x 6 x 8 = 48 x 3 x 0 = 0
(ii) Commutative Property : In general a x b = b x a for all whole numbers a and b.
Consider the following example
2 x 3 = 3 x 2 = 6
8 x 9 = 9 x 8 = 72
(iii) Associative Property : If a,b and c are whole numbers, then (a x b) x c = a x (b x c)
That is, whole numbers have the associative property of multiplication.
For ex. (3 x 4) x 2 = 3 x (4 x 2)
12 x 2 = 3 x 8
24 = 24
(iv) Multiplicative Identity : 1 x a = a x 1 = a. Hence, 1 is called the multiplicative identity for whole numbers.
For ex. 10 x 1 = 1 x 10 = 10
3 x 1 = 1 x 3 = 3
672 x 1 = 1 x 672 = 672
0 x 1 = 1 x 0 = 0
Properties of division
(i) Closure Property : If a and b are whole number , then the quotient a ÷ b need not always be a whole number. So, division in whole numbers is not closed.
Commutative Property : If a and b are whole numbers, then a ÷ b is not equal to b ÷ a. So, the commutative property does not hold true for whole numbers.