Advertisements
Advertisements
प्रश्न
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.2555...
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
You know that `1/7=0.bar142857.` Can you predict what the decimal expansions of `2/7, 3/7, 4/7, 5/7, 6/7` are, Without actually doing the long division? If so, how?
[Hint: Study the remainders while finding the value of `1/7` carefully.]
The value of 1.999... in the form `p/q`, where p and q are integers and q ≠ 0, is ______.
`2sqrt(3) + sqrt(3)` is equal to ______.
`sqrt(10) xx sqrt(15)` is equal to ______.
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:
`0.1bar34`
Write the following in decimal form and say what kind of decimal expansion has:
`1/11`
Write the following in decimal form and say what kind of decimal expansion has:
`2/11`
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.4bar7`
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.bar001`
