Advertisements
Advertisements
प्रश्न
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.888...
Advertisements
उत्तर
Let x = 0.888........ ...(i)
On multiplying both sides of equation (i) by 10, we get
10x = 8.888....... ...(ii)
On subtracting equation (i) from equation (ii), we get
10x – x = (8.88) – (0.888)
⇒ 9x = 8
∴ `x = 8/9`
APPEARS IN
संबंधित प्रश्न
Write the following in decimal form and say what kind of decimal expansion has:
`36/100`
What can the maximum number of digits be in the repeating block of digits in the decimal expansion of `1/17`? Perform the division to check your answer.
Look at several examples of rational numbers in the form `p/q` (q≠0), where p and q are integers with no common factors other than 1 and having terminating decimal representations (expansions). Can you guess what property q must satisfy?
`sqrt(10) xx sqrt(15)` is equal to ______.
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`
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.404040...
Express `0.6 + 0.bar7 + 0.4bar7` in the form `p/q`, where p and q are integers and q ≠ 0.
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:
`3/13`
