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

Write the following rational number in p/q form. 15.bar89

Advertisements
Advertisements

प्रश्न

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

`15.bar89`

बेरीज
Advertisements

उत्तर

Let x = `15.bar89`    ...(1)

Multiplying both sides by 100, we get

100x = `1589.bar89`   ...(2)

Subtracting (1) from (2), we get

∴ 100x − x = `1589.bar89 − 15.bar89`

∴ 99x = 1574

`therefore x =  1574/99 `

So, `15.bar89 = 1574/99`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 2: Real Numbers - Practice Set 2.1 [पृष्ठ २१]

APPEARS IN

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

संबंधित प्रश्‍न

Add the following rational numbers.

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

 


Simplify:

\[\frac{1}{- 12} + \frac{2}{- 15}\]

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

\[\frac{4}{13} + \frac{- 5}{8} + \frac{- 8}{13} + \frac{9}{13}\]

Evaluate each of the following:

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

The sum of the two numbers is \[\frac{5}{9} .\]  If one of the numbers is \[\frac{1}{3},\] find the other.


Simplify:

\[\frac{5}{6} + \frac{- 2}{5} - \frac{- 2}{15}\]

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

\[\frac{- 11}{9} \times \frac{- 81}{- 88}\]

Fill in the blanks:

 The numbers ..... and ..... are their own reciprocals.

 


Fill in the blanks:

(17 × 12)−1 = 17−1 × .....


Divide:

\[\frac{- 3}{4} \text{by} - 6\]

Divide:

\[\frac{2}{3} \text{by} \frac{- 7}{12}\]

Find (x + y) ÷ (x − y), if

\[x = \frac{2}{3}, y = \frac{3}{2}\]

By what number should `(- 33)/16` be divided to get `(-11)/4`?


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


Are the following statement true or false ? Give reason for your answer.

  1. Every whole number is a natural number.
  2. Every whole number is a rational number.
  3. Every integer is a rational number.
  4. Every rational number is a whole number.

Arrange the following rational numbers in descending order.

`(-3)/(8),(2)/(5) and (-1)/(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`

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


A skirt that is `35 7/8` cm long has a hem of `3 1/8` cm. How long will the skirt be if the hem is let down?


Write the following numbers in the form `p/q`, where p and q are integers:

Six-eighths


Write the rational number whose numerator and denominator are respectively as under:

25 + 15 and 81 ÷ 40


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×