question_answer

Find the product using suitable properties:

(a) \[738\,\,\times \,\,103\]

(b) \[854\,\,\times \,\,102\]

(c) \[258\,\,\times \,\,1008\]

(d) \[1005\,\,\times \,\,168\]

Answer:

(a) \[738\times 103=738\times (100+3)\]

\[=(738\times 100)+(738\times 3)\]

\[=73800+2214\]

\[=76014\]

(b) \[854\times 102=854\times (100+2)\]

\[=(854\times 100)+(854\times 2)\]

\[=85400+1708\]

\[=87108\]

(c) \[258\times 1008=258\times (1000+8)\]

\[=(258\times 1000)+(258\times 8)\]

\[=258000+2064\]

\[=260064\]

(d) \[1005\times 168=(1000+5)\times 168\]

\[=(1000\times 168)+(5\times 168)\]

\[=168000+840\].

\[=168840\]