Question

Evaluate using distributive property 9/5× (-3/11)+1/5×(-3/11)​

Answer 1

Answer:

Distributive property is a×(b+c)=a×b+a×c

Associative property is a×b±a×c=a×(b±c)

using this in given examples.

(i)

−39×99

=−39×[100−1]

=−39×100−(−39)×1⋯⋯[distributive property]

=−3900+39=−3861

(ii)

(−85)×43+43×(−15)

=43×(−85)+43×(−15)⋯[∵a×b=b×a]

=43×[−85−15]⋯⋯[associative property]

=43×(−100)=−4300

(iii)

53×(−9)−(−109)×53

53×(−9)−53×(−109)⋯[∵a×b=b×a]

=53×[(−9)−(−109)]⋯⋯[associative property]

=53×[−9+109]=53×100=5300

(iv)

68×(−17)+(−68)×3

=68×(−17)−68×3

=68×[(−17)−3]⋯⋯[associative property]

=68×(−20)

=−1360