Advertisements
Advertisements
Question
Write the following in decimal form and say what kind of decimal expansion has:
`329/400`
Advertisements
Solution
Dividing 329 by 400, we get
`400)overline(329.0000)(0.8225`
− 3200
900
− 800
1000
− 800
2000
− 2000
0
∴ `329/400 = 0.8225`
Thus, the decimal expansion of `329/400` is terminating.
APPEARS IN
RELATED QUESTIONS
Write the following in decimal form and say what kind of decimal expansion has:
`36/100`
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 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?
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:
0.00323232...
Express the following in the form `p/q`, where p and q are integers and q ≠ 0:
0.404040...
Show that 0.142857142857... = `1/7`
Write the following in decimal form and say what kind of decimal expansion has:
`2/11`
