Advertisements
Advertisements
Question
Express the following decimal as a rational number.
0.7
Advertisements
Solution
Let x = 0.7
Then, x = 0.7777..... ....(1)
Here, the number of digits recurring is only 1, so we multiply both sides of the equation (1) by 10.
∴ 10x = 10 x 0.7777....
=7.777..... ....(2)
On subtracting (1) from (2), we get
9x = 7
∴ x = `(7)/(9)`
∴ 0.7 = `(7)/(9)`
APPEARS IN
RELATED QUESTIONS
Write the following number in its decimal form.
`(-5)/7`
Write the following number in its decimal form.
`121/13`
Separate positive and negative rational numbers from the following:
`(-3)/5 , 3/-5 , (-3)/(-5), 3/5 , 0 , (-13)/-3 , 15/-8 , (- 15)/8`
Express `3/5` as a rational number with denominator: − 35
The sum of two rational numbers is `11/24`. If one of them is `3/8`, fine the other.
Evaluate : `(32/15 + 8/5) div (32/15 - 8/5)`
State if the following fraction has a terminating decimal
`(57)/(64)`
Express the following decimal as a rational number.
0.93
Convert the following fraction into a decimal :
`(2)/(3)`
Express the following decimal as a rational number.
0.763
