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Question

Find the product using suitable properties

a) 52 x (-98) + 52 x(-2)

b) (-8) x 54 x(-125)

c) -36 x 103

d) 872 x 1001- 872

e) -15 x 25 x(-4) x(-10) x (-1)

f) 625 x (-35) + (-625) x 65

g) 18 x999

h) 50 x (-23) + 50 x(17)

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Solution

a) 52 x (-98) + 52 x (-2)
= 52 x (-98 +-2)
= 52 x (-100)
=-5200

b) (-8) x 54 x (-125)
= 54 x (-8) x (-100 - 25)
=54 x (800 + 200)
=54 x 1000
=54000

c) - 36 x 103
=(-30 - 6) x (100 + 3)
=(-30 x 100) + (-6 x 100)
+ (-30 x 3) + (-6 x 3)
= - 300 + - 600 +-90 +-18
= - 1008

d) 872 x 1001 - 872
= (872 x 1001) - (872 x 1)
= 872 x (1001 - 1)
= 872 x 1000
= 872000

e) - 15 x 25 x (-4) x (-10) x (-1)
=(-15 x - 10) x
(25 x (-4)) x (-1)
= 150 x 100 x (-1)
= - 15000

f) 625 x (-35) + (-625) x 65
= 625 x (-35 + - 65)
= 625 x (-100)
= - 62500

g) 18 x 999
=18 x (1000 - 1)
=18000 - 18
= 17982

h) 50 x 23 + 50 x (-17)
=50 x (23 - 17)
=50 x 6 = 300


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