English
Maharashtra State BoardSSC (English Medium) 9th Standard

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

Advertisements
Advertisements

Question

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

0.37

Sum
Advertisements

Solution

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`

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Real Numbers - Practice Set 2.1 [Page 21]

APPEARS IN

Balbharati Mathematics 1 [English] Standard 9 Maharashtra State Board
Chapter 2 Real Numbers
Practice Set 2.1 | Q 3. (ii) | Page 21

RELATED QUESTIONS

Add the following rational numbers.

\[\frac{6}{13} and \frac{- 9}{13}\]

 


Evaluate each of the following:

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

Evaluate each of the following:

\[\frac{4}{7} - \frac{- 5}{- 7}\]

Evaluate each of the following:

\[\frac{13}{15} - \frac{12}{25}\]

What number should be subtracted from \[\frac{- 5}{3}\] to get\[\frac{5}{6}?\]


What should be subtracted from \[\left( \frac{3}{4} - \frac{2}{3} \right)\] to get\[\frac{- 1}{6}?\]


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

\[\frac{- 9}{10} + \frac{22}{15} + \frac{13}{- 20}\]

 


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

\[\frac{- 8}{3} + \frac{- 1}{4} + \frac{- 11}{6} + \frac{3}{8} - 3\]

Simplify:

\[\frac{3}{8} - \frac{- 2}{9} + \frac{- 5}{36}\]

Simplify:

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

Fill in the blanks:
The reciprocal of a positive rational number is .....


Fill in the blanks:

The product of a rational number and its reciprocal is .....


Divide:

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

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

\[\frac{- 40}{99} \div ( - 20)\]

 Find any five rational numbers less than 2.


Arrange the following rational numbers in descending order.

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


The rational numbers `(-8)/3` and `8/3` are equidistant from __________


Solve the following: Select the rational numbers from the list which are also the integers.

`9/4, 8/4, 7/4, 6/4, 9/3, 8/3, 7/3, 6/3, 5/2, 4/2, 3/1, 3/2, 1/1, 0/1, (-1)/1, (-2)/1, (-3)/2, (-4)/2, (-5)/2, (-6)/2`


Write a rational number in which the numerator is less than ‘–7 × 11’ and the denominator is greater than ‘12 + 4’.


Write any three rational numbers between the two number given below.

-4.5 and -4.6


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×