Advertisements
Advertisements
Question
Express the following decimal as a rational number.
0.89
Advertisements
Solution
Let x = 0.89
Then, x = 0.898989..... ....(1)
Here, the number of digits recurring is 2, so we multiply both sides of the equation (1) by 100.
∴ 100x = 100 x 0.898989....
= 89.8989..... ....(2)
On subtracting (1) from (2), we get
99x = 89
∴ x = `(89)/(99)`
∴ 0.89 = `(89)/(99)`
APPEARS IN
RELATED QUESTIONS
Write the following number in `bb("p"/"q")` form.
29.568
Write the following rational number in decimal form.
`9/37`
Without doing any actual division, find which of the following rational numbers have terminating decimal representation : `32/45`
Write the denominator of the following rational numbers: -7
Express the following integer as a rational number with denominator 7: -16
Express `4/7` as a rational number with numerator: -16
Evaluate : `(32/15 + 8/5) div (32/15 - 8/5)`
Convert the following fraction into a decimal :
`(-2)/(7)`
Write the following rational number in decimal form.
`23/7`
Write the following rational number in decimal form.
`17/8`
