\(a×b\) is an integer, for every integer \(a\) and \(b\). Therefore, integers are closed under multiplication. Zero property of multiplication Closure Property of MultiplicationĪccording to the closure property, if two integers \(a\) and \(b\) are multiplied, then their product \(a×b\) is also an integer. Distributive property of multiplication over additionĦ. They are the commutative property (also called order property), associative property (also called grouping property), distributive property, property of one and zero property etc. There are some properties of multiplication. As multiplication is the process of repeated addition, it saves our time to get the solution through multiplication instead of adding the same number repeatedly. Multiplication plays a very important role in mathematics as well as in our daily life. Definition of Properties of Multiplication The above example shows \(2\) is multiplied \(7\) times on the number line.
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