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

Write the following rational number in pq form. 0.37 - Algebra

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प्रश्न

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

0.37

बेरीज
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उत्तर

Let x = 0.37  ...(1)

Multiplying both sides by 100, we get

100x = 37.37  ...(2)

Subtracting (1) from (2), we get

∴ `100x - x = 37.bar37 - 0.bar37`

∴ 99x = 37 

`therefore x = 37/99`

So, 0.37 = `37/99`

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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. (ii) | पृष्ठ २१

संबंधित प्रश्‍न

Add the following rational numbers.

\[\frac{- 8}{11} and \frac{- 4}{11}\]

 


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

\[\frac{2}{3} + \frac{- 4}{5} + \frac{1}{3} + \frac{2}{5}\]

Subtract the first rational number from the second in each of the following:

\[\frac{- 2}{3}, \frac{5}{6}\]

Evaluate each of the following:

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

Evaluate each of the following:

\[\frac{- 5}{14} - \frac{- 2}{7}\]

Evaluate each of the following:

\[\frac{7}{24} - \frac{19}{36}\]

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

\[\frac{- 4}{5} + \frac{- 7}{10} + \frac{- 8}{15}\]

 


Simplify:

\[\frac{- 2}{5} - \frac{- 3}{10} - \frac{- 4}{7}\]

Simplify:

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

Fill in the blanks:
The product of two negative rational numbers is always .....


Fill in the blanks:

 If a is reciprocal of b, then the reciprocal of b is .....

 


Divide:

\[\frac{7}{- 4} \text{by} \frac{63}{64}\]

Find the value and express as a rational number in standard form:

\[\frac{2}{5} \div \frac{26}{15}\]

Find ten rational numbers between\[\frac{- 2}{5} \text{and} \frac{1}{2} .\]


Find ten rational numbers between\[\frac{3}{5} \text{and} \frac{3}{4} .\]


For each set of rational number, given below, verify the associative property of addition of rational number:

(ii) `(-2)/5, 4/15 and (-7)/10`


Arrange the following rational numbers in descending order.

`(7)/(13),(8)/(15), and (3)/(5)`


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.

Every integer is a rational number but every rational number need not be an integer.


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