Question

0.121122111222... if the pattern continues, is this a repeating decimal? why or why not?

Answer 1

What do you mean? Is the decimal like, '0.1211221112221211221112221...' Or is it like 12112211122211112222...'
O

Answer 2

If it's the first one, then it is a repeating decimal because the 12 numbers are repeating. But the second decimal is not because the number does not form a pattern.

Answer 3

should be clear (more or less) that if the pattern continues, it is NOT repeating
repeating would be something like \(0.112211221122...\)
a little confusing because english is different from math
we could say in english "the pattern repeats"
but the digits to not "repeat" in the sense of the example i wrote above

Answer 4

can you guys be a little more clear and the only number they give me is 0.121122111222

Answer 5

I know how to explain it better now. You see, '0.12112211...' right? A repeating decimal would repeat the same number before. So... '0.1211221(repeat)12112211(repeat)12112211 (and so on. So it would look like, 0.1212112211121122111211221112112211. The decimal 0.121122111222... is not a repeating decimal. Why? It says, " if the pattern continues" Which mean it would end up 0.12112211122211112222... Do you see any repeating number? All you see is a pattern, but it is not a repeating decimal. Trust me.
(Wow that's a lot of digit.)

Answer 6

Or the repeating number can be 0.1211221122... (With a bar over 1122.)

Answer 7

no its has the ... symbols so...?

Answer 8

Well... It said, 'if the pattern continues' right after the '...' Which mean that the continuing number would make a pattern. Do you see a pattern in the number that you are given?

Answer 9

yes.. 12 1122 111222 11112222

Answer 10

Yes. That's the pattern. Do you see any repeating number?

Answer 11

but repeating can be a pattern

Answer 12

here is another ...explain why any mixed number written as a fraction will be improper.

Answer 13

It can be a pattern... if it end. If it doesn't end, and the pattern continue, then it would not be a repeating decimal.

Answer 14

Mixed number written as a fraction would be improper because fraction means part of a whole. So 1/10 is a proper fraction because 1 is part of the whole, 10. Now improper would be like 11/10. 11 is part of the whole, 10. But how can you have 11 something when there's only 10 something in total? This is why it's called improper fraction. Fraction can be an improper fraction when the numerator is greater than the denominator.