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Tips on how to discover the product utilizing multiplication property?
1. Order property
When two numbers are multiplied we get a product. When the locations of numbers are interchanged, their product stays the identical, i.e., 3 × 5 = 5 × 3 = 15; 10 × 2 = 2 × 10 = 20.
That is known as the order property for multiplication of numbers.
(i) 4 × 7 = 28 and seven × 4 = 28.
So, 4 × 7 = 7 × 4 = 28
The orders of 4 and seven are interchanged however product 28 stays the identical.
(ii) 6 × 9 = 54 and 9 × 6 = 54.
So, 6 × 9 = 9 × 6 = 54
The orders of 6 and 9 are interchanged however product 54 stays the identical.
3 × 4 = 12 Mary has 3 packets of 4 + 4 + 4 = 12 |
4 × 3 = 12 Terry has 4 packets of 3 + 3 + 3 + 3 = 12 |
The product of two numbers doesn’t change even when the order is modified.
2. Multiplication Property of 1
The product of any quantity and one is the quantity itself.
1 × 1 = 1, 3 × 1 = 3, 5 × 1 = 5, 7 × 1 = 7, 9 × 1 = 9, and so on.
Allow us to multiply 5 by 1
The product of quantity
1 and some other quantity is the quantity itself.
3. Multiplication
property of zero.
The product of any quantity and nil 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 4 occasions are 0 (0 + 0 + 0 + 0 = 0) = 4 × 0
0 × 5 = 0 5 occasions 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
Allow us to multiply 5 by
0.
5 × 0 means 5 teams
of 0 objects.
5 × 0 = 0
The product of zero
and some other quantity is zero.
Due to this fact, to seek out the product utilizing multiplication property it’s essential to know order property of multiplication, multiplication property of 1 and nil.
Questions and Solutions on Multiplication Properties:
1. Fill within the blanks
utilizing 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 × ………
Reply:
1. (i) 3
(ii) 8
(iii) 9
(iv) 5
(v) 0
(vi) 5
(vii) 0
(viii) 6
2. Match the image
with the multiplication reality.
Reply:
2. (i) → 5
(ii) → 4
(iii) → 2
(iv) → 1
(v) → 3
3. Draw teams of any form to match the proper reply. One has been finished for you.
4. Fill within the blanks. One has been finished for you.
(i) |
7 × 2 = |
2 × 7 |
= 14 |
(ii) |
6 × 1 = |
1 × 6 |
= _____ |
(iii) |
5 × 3 = |
_____ × _____ |
= 15 |
(iv) |
4 × 5 = |
_____ × _____ |
= _____ |
(v) |
2 × 4 = |
_____ × 2 |
= _____ |
(vi) |
6 × 2 = |
_____ × 6 |
= _____ |
(vii) |
8 × 2 = |
_____ × _____ |
= _____ |
(viii) |
5 × 9 = |
_____ × _____ |
= _____ |
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