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.
3 × 4 = 12 Mary has 3 packets of 4 candies each. 4 + 4 + 4 = 12 |
4 × 3 = 12 Terry has 4 packets of 3 candies each. 3 + 3 + 3 + 3 = 12 |
The product of two numbers does not change even if the order is changed.
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.
Let us multiply 5 by 1
The product of number 1 and any other number is the number itself.
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
Let us multiply 5 by 0.
5 × 0 means 5 groups of 0 objects.
5 × 0 = 0
The product of zero and any other number is zero.
Therefore, to find the product using multiplication property it’s very important to know order property of multiplication, multiplication property of 1 and zero.
Questions and Answers on Multiplication Properties:
1. Fill in the blanks using the properties of multiplication.
(i) 4 × 3 = ……… × 4
(ii) 8 × 1 = ………
(iii) 9 × 2 = 2 × ………
(iv) 7 × 5 = ……… × 7
(v) 4 × 0 = ………
(vi) 5 × 1 = ………
(vii) 1 × ……… = 0
(viii) 6 × 4 = 4 × ………
Answer:
1. (i) 3
(ii) 8
(iii) 9
(iv) 5
(v) 0
(vi) 5
(vii) 0
(viii) 6
2. Match the picture with the multiplication fact.
Answer:
2. (i) → 5
(ii) → 4
(iii) → 2
(iv) → 1
(v) → 3
3. Draw groups of any shape to match the correct answer. One has been done for you.
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