Q3. Solve the following using suitable property and name it.
a) 17 x (128) – 17 x 28
b) ( - 21 ) x 113
c) 35 x 99 + 35
d) (-65) x ( - 19) + 65
e) 1829 x ( -12) + ( -1829) x 88
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Step-by-step explanation:
a) 17 x (128) – 17 x 28
17×(128-28)= 17(100)=1700
Distributive of multiplication over subtraction
b) ( - 21 ) x 113
=(-20+(-1)) ×113= -2260+(-113) = -2373
Distributive of multiplication over addition
c) 35 x 99 + 35
35(99+1) = 35×100= 3500
Distributive of multiplication over addition
d) (-65) x ( - 19) + 65
= -65(-19+(-1)) =-65(-20) = 1300
Distributive of multiplication over addition
e) 1829 x ( -12) + ( -1829) x 88
= 1829(-12-88)=1829(-100)= -182900
Distributive of multiplication over addition
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