4. Find the product using suitable properties.
(a) 738 × 103                (b) 854 × 102
(c) 258 × 1008              (d) 1005 × 168

Answers (1)

The product of the folllowing using suitable properties are:

(a) 738 \times 103

\\ = 738 \times (100+3)

Using distributive law.

\\ = 738 \times 100+738 \times3 \\ = 73800+2214 \\ = 76014                

(b) 854 \times 102

\\ = 854 \times (100+2)

Using distributive law.

\\ = 854 \times 100+854 \times 2 \\ = 85400+1708 \\ = 87108

(c) 258 \times 1008

\\ = 258 \times (1000+8)

Using Distributive law.

\\ = 258 \times 1000+258 \times8 \\ = 258000+2064 \\ = 260064

(d) 1005 \times 168

\\ = (1000+5) \times 168

Using Distributive law.

\\ = 1000\times 168+5 \times 168 \\ = 168000+840 \\ = 168840

 

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