Question

Using suitable properties of integers, evaluate the following:
(a) (-20) X (-2) X (-5) X 7              (b) 52 X (-8) + (-52) X 2               (c ) (-41) X 103​

Answer 1

Answer: a)  (-20) X (-2) X (-5) X 7  

= 7 x [(-20) x (-5) x (-2)]

=  7 x [100 x (-2)] (Associative Property)

= 7 x (-200)

= -1400

b)  52 X (-8) + (-52) X 2

1st way

= 52 x (-8) + 52 x (-2)

= -416 + -104

= -520

2nd way

= -52 x 8 + -52 x 2

= -416 + -104

= -520

(c ) (-41) X 103​

= (-41) X (100 + 3)

= -41 x 100 + -41 x 3 (Distrubutive Property)

= -4100 + -123

= -4223

Answer 2

Answer:

A=. -1,400

B=. -520

C=. -4,223

Hope it is helpful to you