Advertisements
Advertisements
प्रश्न
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.2555...
Advertisements
उत्तर
Let x = 0.2555....... ...(i)
On multiplying both sides of equation (i) by 10, we get
10x = 2.555........ ...(ii)
On multiplying both sides of equation (ii) by 10, we get
100x = 25.55.........
On subtracting equation (ii) from equation (iii), we get
100x – 10x = 25.55... – (2.555...)
⇒ 90x = 23
∴ `x = 23/90`
APPEARS IN
संबंधित प्रश्न
Write three numbers whose decimal expansions are non-terminating non-recurring.
The decimal expansion of the number `sqrt(2)` is ______.
The value of 1.999... in the form `p/q`, where p and q are integers and q ≠ 0, is ______.
There are numbers which cannot be written in the form `p/q, q ≠ 0, p, q` both are integers.
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
`5.bar2`
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
`0.bar001`
Show that 0.142857142857... = `1/7`
Write the following in decimal form and say what kind of decimal expansion has:
`2/11`
Write the following in decimal form and say what kind of decimal expansion has:
`329/400`
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.4bar7`
