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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

संबंधित प्रश्‍न

Add the following rational numbers:

\[\frac{5}{36} and \frac{- 7}{12}\]

Add and express the sum as a mixed fraction:

\[\frac{- 12}{5} \text{and} \frac{43}{10}\]

Re-arrange suitably and find the sum in each of the following:

\[\frac{- 6}{7} + \frac{- 5}{6} + \frac{- 4}{9} + \frac{- 15}{7}\]

Evaluate each of the following:

\[\frac{2}{3} - \frac{3}{5}\]

Evaluate each of the following:

\[\frac{- 4}{13} - \frac{- 5}{26}\]

Express each of the following as a rational number of the form \[\frac{p}{q}:\] 

\[\frac{- 7}{4} + 0 + \frac{- 9}{5} + \frac{19}{10} + \frac{11}{14}\]

Simplify:

\[\frac{5}{4} - \frac{7}{6} - \frac{- 2}{3}\]

Simplify each of the following and express the result as a rational number in standard form:

\[\frac{7}{6} \times \frac{- 3}{28}\]

Simplify:

\[\left( - 5 \times \frac{2}{15} \right) - \left( - 6 \times \frac{2}{9} \right)\]

Fill in the blanks:

(17 × 12)−1 = 17−1 × .....


Divide:

\[- 4\ \text{by} \frac{- 3}{5}\]

Mark the following pairs of rational numbers on the separate number lines: `1/4 "and" - 5/4`


Insert a rational number between:

`(4)/(3) and (7)/(5)`


Identify the rational number that does not belong with the other three. Explain your reasoning

`(-5)/11, (-1)/2, (-4)/9, (-7)/3`


The table shows the portion of some common materials that are recycled.

Material Recycled
Paper `5/11`
Aluminium cans `5/8`
Glass `2/5`
Scrap `3/4`
  1. Is the rational number expressing the amount of paper recycled more than `1/2` or less than `1/2`?
  2. Which items have a recycled amount less than `1/2`?
  3. Is the quantity of aluminium cans recycled more (or less) than half of the quantity of aluminium cans?
  4. Arrange the rate of recycling the materials from the greatest to the smallest.

The table shows the portion of some common materials that are recycled.

Material Recycled
Paper `5/11`
Aluminium cans `5/8`
Glass `2/5`
Scrap `3/4`

Which items have a recycled amount less than `1/2`?


Express `3/4` as a rational number with denominator:

36


150 students are studying English, Maths or both. 62 per cent of the students are studying English and 68 per cent are studying Maths. How many students are studying both?


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