Advertisements
Advertisements
प्रश्न
Express the following decimal as a rational number.
0.7
Advertisements
उत्तर
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
संबंधित प्रश्न
Classify the decimal form of the given rational number into terminating and non-terminating recurring type.
`2/11`
Write the following number in `bb("p"/"q")` form.
29.568
Write the following numbers in `bb("p"/"q")` form.
357.417417...
Is zero a rational number? Can it be written in the form `P/q`, where p and q are integers and q ≠ 0?
Express the following integer as a rational number with denominator 7: 7
What should be added to `(-3)/5` to get 2?
State if the following fraction has a terminating decimal
`(25)/(49)`
State if the following fraction has a terminating decimal.
`(59)/(75)`
Write the decimal form of the following rational numbers
`1/11`
Write the following rational number in decimal form.
`4/5`
