Question

2. Simplify using suitable property. Also mention the name of the property.
(i) 952 x 15 - 5 x 952
(ii) 1009 x 925
(iii) 71521 x 1001
(iv) 125 x 799 x 4
(v) 10295 x 99
(vi) 4 x 50762 x 25
(vii) 1008 x 8 + 1008 x 82
(viii) 15625 x 15625 - 15625 x 5625
(ix) 495 x 625 x 16
(x) 477 x 1035 - 477 x 35

Please help me answer these questions... Tomorrow is my maths exam...thanks

Answer 1

Answer:

Step-by-step explanation:

952 x 15 - 5 x 952

= 952 ( 15 - 5)

= 952 * 10

= 9520

1009 x 925

= (1000 + 9) * ( 900 + 25)

= 900000 + 25000 + 8100 + 225

= 933325

71521 x 1001

= 71521 * (1000 + 1)

= 71521000 + 71521

= 71,592,521‬

125 x 799 x 4

= 500 * (800 - 1)

= 400000 - 500

= 399,500

10295 x 99

= 10295 * (100 - 1)

= 1029500 - 10295

= 1,019,205‬

4 x 50762 x 25

= 50762 * 100

= 5076200

1008 x 8 + 1008 x 82

= 1008 * (8 + 82)

= 1008 * 90

= 90,720‬

15625 x 15625 - 15625 x 5625

= 15625( 15625 - 5625)

= 15625 * 1000

= 15625000

495 x 625 x 16

= 495 * 10000

= 4950000

477 x 1035 - 477 x 35

= 477 * (1035 - 35)

= 477 * 1000

= 477000