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Maharashtra State BoardSSC (English Medium) 9th Standard

Write the following numbers in pqpq form. 357.417417... - Algebra

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Question

Write the following numbers in `bb("p"/"q")` form.

357.417417...

Sum

Solution

357.417417...

Let x = 357.417          ...(1) 

Multiplying both sides by 1000, we get 

1000 x = 357417.417     ... (2)

By subtracting (1) from (2), we get

⇒ 1000x - x = 357417.417 - 357.417

⇒ 999 x = 357060

⇒ `x = 357060/ 999`

∴ 357.417 =`357060/ 999`

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Chapter 2: Real Numbers - Problem Set 2 [Page 35]

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Balbharati Algebra (Mathematics 1) [English] 9 Standard Maharashtra State Board
Chapter 2 Real Numbers
Problem Set 2 | Q (2) (iv) | Page 35
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