CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Roots of Quadratic Equation

Question 8 Sh...

Question

Question 8
Show that $0.142857142857 \dots \dots = \frac{1}{7}$

Open in App

Solution

Let x = 0.142857142857 …………….(i)
On subtracting Eq. (i) from eq.(i) multiplied by by 1000000, we get,
1000000x – x = (142857.142857….) – ( 0.142857….)
$\Rightarrow 999999 x = 142857$
$∴ x = \frac{142857}{999999} = \frac{1}{7}$

Suggest Corrections

thumbs-up

164

Similar questions

Q. Question 8
Show that

0.142857142857 \dots \dots = \frac{1}{7}

(- \frac{8}{9} \times \frac{1}{- 5}) + (- \frac{8}{9} \times - \frac{- 7}{11}) = - \frac{8}{9} \times (\frac{1}{- 5} + \frac{- 7}{11})

\frac{1}{(3 - \sqrt{8})} - \frac{1}{(\sqrt{8} - \sqrt{7})} + \frac{1}{(\sqrt{7} - \sqrt{6})} - \frac{1}{(\sqrt{6} - \sqrt{5})} + \frac{1}{(\sqrt{5} - 2)} = 5

\frac{1}{(3 - \sqrt{8})} - \frac{1}{(\sqrt{8} - \sqrt{7})} + \frac{1}{\sqrt{7} - \sqrt{6}} - \frac{1}{\sqrt{6} - \sqrt{5}} + \frac{1}{\sqrt{5} - 2} = 5

Q. Show that the points

(2, 3, 4), (- 1, - 2, 1), (5, 8, 7)

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Roots of Quadratic Equation

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon