Advertisements
Advertisements
Question
Write the following in decimal form and say what kind of decimal expansion has:
`3/13`
Advertisements
Solution
Dividing 3 by 13, we get
`13)overline(3.00000000)(0.23076923...`
-26
40
-39
10
-00
100
-91
90
-78
120
-117
30
-26
40
-39
1
Here, the repeating block of digits is 230769.
∴ `3/13` = 0.23076923...
= `0.overline230769`
Thus, the decimal expansion of `3/13` is non-terminating repeating.
APPEARS IN
RELATED QUESTIONS
Express the following in the form `p/q`, where p and q are integers and q ≠ 0.
`0.bar6`
`2sqrt(3) + sqrt(3)` is equal to ______.
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.888...
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:
`0.1bar34`
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.00323232...
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:
`2/11`
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.4bar7`
