- Books Name
- CBSE Class 7 Mathematics Book
- Publication
- Param Publication
- Course
- CBSE Class 7
- Subject
- Mathmatics
Properties of Multiplication of Integers :
(i) Closure property for Multiplication : The product of two integers is always an integer. a x b is an integer, for all Integers a and b.
Ex. 7 × 9 = 63 (7, 9 and 63 are all integers)
–7 × 9 = –63 (–7, 9 and –63 are all integers)
7 × –9 = –63 (7, –9 and –63 are all integers)
–7 ×–9 = 63 (–7, –9 and 63 are all integers)
(ii) Commutative law for multiplication of Integers : For any two integers a and b, the commutative law holds true i.e., a × b = b ×a.
Ex. –2 × 3 = 3 × –2 = –6
(iii) Associative law for multiplication of Integers : For any three integers a, b and c, the associative law holds true i.e. (a x b) x c = a × (b × c). If a = –2, b = –3 and c = 4, then (–2 × –3) × 4 = –2 × (–3 × 4) = 24.
(iv) Distributive law of Multiplication over addition : For any three integers a, b and c, the distributive law holds true i.e., a × ( b + c) = a × b + a × c.
If a = 5, b = –3 & c = –7 then 5 × (–3 + –7) = 5 × –3 + 5 × –7 = –50
(v) Existance of Multiplicative Identity : For every integer a, we have a × 1 = 1 x a = a.
Where ‘1’ is the multiplicative identity.
Ex. –5 × 1 = 1 × –5 = –5
(vi) Existance of multiplicative Inverse : For every non-zero integer x, there exists a multiplicative
(vii) Property of Zero: In general, for every integer a, we have a × 0 = 0 × a = 0