Question

Ques-6) Solve using distributive property
a) 1020 x 35
b) 98 x 15
c) 15 x 12 - 5 X 12
d) 350 x 68 + 32 x 35 x 10​ I want the answer step by step​

Answer 1

a ) 1020 × 35

1020 × 35 = (1000 + 20)(30 + 5)

= (1000 × 30) + (1000 × 5)+ ( 20 × 30)+(20 × 5)

= 30, 000 + 5000 + 600 + 100

= 35, 700

b) 98 × 15

98 × 15 = (90 + 5)(10 + 5)

= (90 × 10)+(90 × 5)+(5 × 10) + ( 5 × 5)

= 900 + 450 + 50 + 25

= 1425

c) (15 × 12)-(5 × 12)

(15 × 12)-(5 × 12) = [ (10 +5)( 10 +2)] - [(5 +0)(10 +2)]

= [(10 × 10)+(10 × 2)+( 5 × 10)+(5 × 2)]- [(5 × 10) + (5 × 2)]

= (100 + 20 + 50 + 10) - ( 50 + 10)

= 180 - 60

=120

d) (350 × 68) + (32 × 35 × 10)

(350 × 68) + (32 × 35 × 10) = ( 300 + 50 )(60 + 8) + (30 + 2)(30 + 5)(10+0)

= [(300 × 60) + ( 300 × 8) + (50 × 60)+(50 × 8)] + [ (30 × 30 ) + (30 × 5) + (2 × 30)+(2 × 5) × 10]

= ( 18000 + 2400 + 3000 + 400) + (900 + 150 + 60 + 10 ) × 10

= 23800 +11200

= 35, 000

Answer 2

Step-by-step explanation:

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