question_answer

Find the product using suitable properties :

(a) \[26\times \left( -48 \right)+\left( -36 \right)\times \left( -48 \right)\]

(b) \[15\times \left( -25 \right)+\left( -4 \right)\times \left( -25 \right)\]

(c) \[7\times (50-2)\]

Answer:

(a) \[26\times \left( 48 \right)+\left( 36 \right)\times \left( 48 \right)=\]\[\left[ 26+\left( 36 \right) \right]\times \]

\[\left( 48 \right)\]

\[=\text{ }\left( 10 \right)\times \left( 48 \right)\],

[by distributive property]

= 480

(b) \[15\times \left( 25 \right)+\left( 4 \right)\times \left( 25 \right)=\left[ 15+\left( 4 \right) \right]\] \[\times \left( 25 \right)\]

[by distributive property]

= (11) × (? 25)

= ? 275 1

(c) \[7\times \left( 502 \right)=7\times 507\times 2\]

= 350 ? 14 = 336

[distributivity of multiplication

over subtraction]