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The properties of multiplication are really basic even though there are six of them.
So what are the properties of multiplication? The properties of multiplication say that:

1) If two whole numbers are to be multiplied then the product is to be a whole number itself, example:-
3 x 2=6
7 x 0=0
1 x 3=3

2) The product of two whole numbers always remains unchanged when the numbers change places, example:-
4x5=20
5x4=20
4x5=5x4

3) The product of three whole numbers always remains unchanged when the numbers change places, example:-
(8x2)x2= 16x2=32
(2x2)x8= 4x8=32
(8x2)x2=(2x2)x8

4) If a whole number is to be multiplied by a zero then the product is to be zero itself, example:-
5x0=0
0x3=0
0x0=0

5) If the product of a whole number and the sum of two or more other whole numbers is to be grouped together then the sum of the products of the former is to be equal to each of the grouped numbers, example:-
6 x (2+3)=6 x 5=30
(6 x 2)+(6 x 3)=12+18=30
6 x (2+3)=(6 x 2)+(6 x 3)

Now try some of these and make sure to watch the video on YouTube.

Sheet 1 What are the Properties of Multiplication