Advertisements
Advertisements
प्रश्न
Write the following in decimal form and say what kind of decimal expansion has:
`3/13`
Advertisements
उत्तर
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
संबंधित प्रश्न
Express the following in the form `p/q`, where p and q are integers and q ≠ 0.
`0.bar6`
Express 0.99999 .... in the form `p/q`. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.
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.
Which of the following numbers can be represented as non-terminating, repeating decimals?
If `sqrt(2) = 1.4142`, then `sqrt((sqrt(2) - 1)/(sqrt(2) + 1))` is equal to ______.
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
`5.bar2`
Show that 0.142857142857... = `1/7`
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:
`2/11`
Express the following in the form `bb(p/q)`, where p and q are integers and q ≠ 0.
`0.bar001`
