Find the product using suitable properties:
(a) 738 x 103 (b) 854 x102 (c) 258 x 1008 (d) 1005 x168
Solution:
Distributive Property Formula means to divide a given operand and operation to solve a given equation in a much easier way. It is also known as the distributive law of multiplication. Let's understand the evaluation of the products using the distributive property.
Distributive property states that for any expression of the form a (b + c), which means a × (b + c), operand "a" can be distributed among operands "b" and "c" as: (a × b + a × c)
i.e.,a × (b + c) = a × b + a × c
(a) 738 × 103 = 738 × (100 + 3)
= 738 × 100 + 738 × 3
= 73800 + 2214
= 76014
(b) 854 × 102 = 854 × (100 + 2)
= 854 × 100 + 854 × 2
= 85400 + 1708
= 87108
(c) 258 × 1008 = 258 × (1000 + 8)
= 258 × 1000 + 258 × 8
= 258000 + 2064
= 260064
(d) 1005 × 168 = 168 × 1005
= 168 × (1000 + 5)
= 168 × 1000 + 168 × 5
= 168000 + 840
= 168840
Thus, the answers are (a) 76014 (b) 87108 (c) 260064 (d) 168840
Find the product using suitable properties:
Summary:
(a) 738 × 103 =76014 (b) 854 × 102 = 87108 (c) 258 × 1008 = 260064 (d) 1005 × 168 = 168840
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