We discovered methods to multiply numbers with a 2-digit multiplier. Now we’ll be taught extra. Tell us some details concerning the multiplication.
When each set of numbers is equal, we use multiplication to search out the consequence.
Signal of multiplication ×.
one. The results of the multiplication known as the product.
for instance 2 × 3 = 6 → (Product).
Within the multiplication operation, the multiplied quantity known as the multiplier, and the multiplied quantity known as the multiplier.
Instance:
The reply to multiplication known as multiplication.
2. Any quantity multiplied by zero is zero.
Multiplying any quantity by 0 all the time provides 0.
Instance: 3 × 0 = 0 or 6 × 0 = 0
Suppose — If every little one will get ‘zero’ sweet, what number of candies will 4 children get?
4 occasions 0 sweet or 4 × 0 = 0
3. Multiplying any quantity by 1 all the time provides that quantity itself.
Any quantity multiplied by one is the same as that quantity itself.
Instance:
7 × 1 = 7 or 9 × 1 = 9
Suppose — If every little one will get ‘1’ of sweet, what number of candies are wanted for 8 kids?
1 little one → 1 dessert
8 children → 8 occasions 1 dessert
8 × 1 dessert = 8 desserts
The product is the same as the quantity itself.
4. In a multiplication operation, the product will be larger than or equal to the numbers being multiplied, however by no means lower than when one of many numbers is zero.
Instance:

5. For each multiplication phenomenon, there are two division phenomena.
Instance:

So the multiplier divided by the product is the same as the multiplier, and the multiplier divided by the product is the same as the multiplier.
6. Though the order of the numbers modifications throughout multiplication, the product is all the time the identical.
Altering the order of the multiplied numbers within the multiplication course of doesn’t change the consequence.
Instance:
6 x 3 = 18 is identical as 3 x 6 = 18
9 × 8 = 8 × 9 = 72
12×5=5×12=60
Notice:
The division phenomenon is used to search out the lacking multiplier or multiplier.
Questions and Solutions Relating to Multiplication Details:
1. Fill within the blanks – (One was made for you)
A. 2 × 3 = 3 × 2
B. 5 × 4 = __ × 5
C. 6 × 2 = __ × 6
D. 7 × 5 = __ × 7
to. 9 × 6 = 6 × __
F. 10 × 4 = 4 × __
2. Multiply –
(i) 1 × 7 = ___
(ii) 6 × 2 = ___
(iii) 2 × 5 = ___
(iv) 4 × 9 = ___
(v) 7 × 5 = ___
(vi) 8 × 3 = ___
(vii) 7 × 8 = ___
(viii) 6 × 3 = ___
(ix) 8 × 8 = ___
(x) 3 × 7 = ___
(xi) 9 × 5 = ___
(xii) 8 × 10 = ___
(xiii) 4 × 5 = ___
(xiv) 9 × 10 = ___
(xv) 8 × 3 = ___
(xvi) 2 × 5 = ___
(xvii) 7 × 3 ____ |
(xviii) 6 × 4 ____ |
(xix) 8 × 8 ____ |
(xx) 10 × 2 ____ |
(xxi) 5 × 2 ____ |
3. Fill within the blanks-
(i) 3 × ___ = 18
(ii) ___ × 2 = 18
(iii) 2 × ___ = 14
(iv) ___ × 5 = 45
(v) 7 × 3 = ___
(vi) 4 × ___ = 20
third Grade Arithmetic Classes
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