Advertisements
Advertisements
प्रश्न
Write the following in decimal form and say what kind of decimal expansion has:
`2/11`
Advertisements
उत्तर
Dividing 2 by 11, we get
`11)overline2.0000(0.1818......`
−11
90
−88
20
−11
90
−88
2
Here, the repeating block of digits is 18.
∴ `2/11` = 0.1818...
= `0.overline18`
Thus, the decimal expansion of `2/11` is non-terminating repeating.
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.]
Express the following in the form `p/q`, where p and q are integers and q ≠ 0.
`0.bar6`
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?
The decimal expansion of the number `sqrt(2)` is ______.
`2sqrt(3) + sqrt(3)` is equal to ______.
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.2
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:
0.00323232...
Write the following in decimal form and say what kind of decimal expansion has:
`4 1/8`
Write the following in decimal form and say what kind of decimal expansion has:
`3/13`
