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Mathematics

Write each of the following in expanded form :

(i) 5,16,287

(ii) 13,25,694

(iii) 8,08,808

(iv) 64,72,319

(v) 1,36,04,107

(vi) 9,36,50,519

Number System

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Answer

(i) Expanding,

5,16,287 = 5 × 1,00,000 + 1 × 10,000 + 6 × 1,000 + 2 × 100 + 8 × 10+ 7 × 1

= 5,00,000 + 10,000 + 6,000 + 200 + 80 + 7.

(ii) Expanding,

13,25,694 = 1 × 10,00,000 + 3 × 1,00,000 + 2 × 10,000 + 5 × 1,000 + 6 × 100 + 9 × 10 + 4 × 1

= 10,00,000 + 3,00,000 + 20,000 + 5,000 + 600 + 90 + 4.

(iii) Expanding,

8,08,808 = 8 × 1,00,000 + 0 × 10,000 + 8 × 1,000 + 8 × 100 + 0 × 10 + 8 × 1

= 8,00,000 + 8,000 + 800 + 8.

(iv) Expanding,

64,72,319 = 6 × 10,00,000 + 4 × 1,00,000 + 7 × 10,000 + 2 × 1,000 + 3 × 100 + 1 × 10 + 9 × 1

= 60,00,000 + 4,00,000 + 70,000 + 2,000 + 300 + 10 + 9.

(v) Expanding,

1,36,04,107 = 1 × 1,00,00,000 + 3 × 10,00,000 + 6 × 1,00,000 + 0 × 10,000 + 4 × 1,000 + 1 × 100 + 0 × 10 + 7 × 1

= 1,00,00,000 + 30,00,000 + 6,00,000 + 4,000 + 100 + 7.

(vi) Expanding,

9,36,50,519 = 9 × 1,00,00,000 + 3 × 10,00,000 + 6 × 1,00,000 + 5 × 10,000 + 0 × 1,000 + 5 × 100 + 1 × 10 + 9 × 1

= 9,00,00,000 + 30,00,000 + 6,00,000 + 50,000 + 500 + 10 + 9.

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