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Using identities , find the value of

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asked Dec 20, 2017 in Class IX Maths by ashu Premium (930 points)

Using identities , find the value of

(i) 1012

(ii) 982

(iii) (0.98)2

(iv) 11 × 9

(v) 190 × 190 - 10 × 10

Step-by-step explanation:

(i) 1012 = (100 + 1)2

= 1002 + 2 × 100 × 1 + 12

= 10000 + 200 + 1 = 10201

(ii) 982 = (100 - 2)2

= 1002 - 2 × 100 × 2 + 22

= 10000 - 400 + 4 = 9604

(iii) 0.982 = (1- 0.02)2

= 12 - 2 × 1 × 0.02 + (0.02)2

= 1 - 0.04 + 0.0004

= 0.9604

(iv) 11 × 9 = (10 + 1) (10 - 1)

= 102 - 12

= 99

(v) 190 × 190 - 10 × 10 = 1902 - 102

= (190 + 10 ) (190 - 10)

= 200 × 180

= 36000