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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

Write the following rational number in pq form. 2.bar514

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प्रश्न

Write the following rational number in `bb(p/q)` form.

`2.bar514`

बेरीज
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उत्तर

Let x = `2.bar514`   ...(1)

Multiplying both sides by 1000, we get 

1000x = `2514.bar514`    ...(2)

Subtracting (1) from (2), we get

∴ 1000x – x = `2514.bar514-2.bar514`

∴ 999x = 2512

`therefore x = 2512/999`

So, `2.bar514=2512/999`

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पाठ 2: Real Numbers - Practice Set 2.1 [पृष्ठ २१]

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बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 2 Real Numbers
Practice Set 2.1 | Q 3. (v) | पृष्ठ २१

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