How to find the product using multiplication property?
1. Order property
When two numbers are multiplied we get a product. When the places of numbers are interchanged, their product remains the same, i.e., 3 × 5 = 5 × 3 = 15; 10 × 2 = 2 × 10 = 20.
This is called the order property for multiplication of numbers.
(i) 4 × 7 = 28 and 7 × 4 = 28.
So, 4 × 7 = 7 × 4 = 28
The orders of 4 and 7 are interchanged but product 28 remains the same.
(ii) 6 × 9 = 54 and 9 × 6 = 54.
So, 6 × 9 = 9 × 6 = 54
The orders of 6 and 9 are interchanged but product 54 remains the same.
2. Multiplication
property of 1
The product of any number and one is the number itself.
1 × 1 = 1, 3 × 1 = 3, 5 × 1 = 5, 7 × 1 = 7, 9 × 1 = 9, etc.
3. Multiplication property of zero.
The product of any number and zero is 0 (zero).
0 × 1 = 0 ones is 0 (0 = 0) = 1 × 0
0 × 2 = 0 twos are 0 (0 + 0 = 0) = 2 × 0
0 × 3 = 0 threes are 0 (0 + 0 + 0 = 0) = 3 × 0
0 × 4 = 0 four times are 0 (0 + 0 + 0 + 0 = 0) = 4 × 0
0 × 5 = 0 five times are 0 (0 + 0 + 0 + 0 + 0 = 0) = 5 × 0
Thus, 0 × 1 = 0 × 2 = 0 × 3 = 0 × 4 = 0 × 5 = 0
9 × 0 = 0, 8 × 0 = 0, 7 × 0 = 0, 13 × 0 = 0, 19 × 0 = 0
Therefore, to find the product using multiplication property it’s very important to know order property of multiplication, multiplication property of 1 and zero.
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