Moved - Terminating decimal

[lillybeth]

So, i've got this division thing down, but can someone tell me what a terminating decimal is? I don't think we went over this yesterday @ school, but, it;s still on my math paper.

 

[Bob Brown MSEE]

New Question

So, I've got this division thing down, but can someone tell me what a terminating decimal is? I don't think we went over this yesterday @ school, but, it;s still on my math paper.

Hi lillybeth,
I did not see this post right away because...
1) I tend to not look at threads that I believe have been answered.
2) This is a new topic
It is good to list all parts of a given problem in one thread.
It is better for you if you start from scratch with a new question.
When people see a new thread -- they always check it out, right away.

It's ok, no worrys...
I'll continue wit a post about your question directly following this post (in the same thread)

 

[Bob Brown MSEE]

So, i've got this division thing down, but can someone tell me what a terminating decimal is? I don't think we went over this yesterday @ school, but, it;s still on my math paper.

You see decimal numbers every day. Prices are written as a terminating decimal representing dollars. (terminating, or rounded, to two digits after the decimal point). A decimal number is different than an integer or a fraction. It is the kind of number that you see on a calculator.

There are 3 kinds of decimal numbers.
1) terminating decimal: 567.127
This represents a rational number (can be written as a fraction, if you want to)
2) non-repeating decimal: Pi = 3.1415926..., Sqrt(2) = 1.4142136...
These never end and never repeat.
These can not be written as a fraction
3) repeating decimal: 1/3 = 0.333333..., 1/7=0.142857142857142857...
These never end, but eventually repeat a pattern.
These can be written as a fraction

NOTE: A terminating decimal can be thought of as a repeating decimal where the repeating part is all zeros: $13.9900000000000...
However it is called a terminating decimal when the trailing zeros are not written: $13.99

 

[Deleted member 4993]

So, i've got this division thing down, but can someone tell me what a terminating decimal is? I don't think we went over this yesterday @ school, but, it;s still on my math paper.

Please check out this write-up about terminating decimal....

http://www.purplemath.com/modules/numtypes.htm

 

[JeffM]

Hi Lilybeth

Congratulations on your GREAT grade.

It is very important to put a new problem in a new thread because, as Bob Brown said, many of us do not look at threads that we think have already been asnwered.

One problem in each thread.

New thread for new problem.

 

[lillybeth]

There are 3 kinds of decimal numbers.
1) terminating decimal: 567.127
This represents a rational number (can be written as a fraction, if you want to)
2) non-repeating decimal: Pi = 3.1415926..., Sqrt(2) = 1.4142136...
These never end and never repeat.
These can not be written as a fraction
3) repeating decimal: 1/3 = 0.333333..., 1/7=0.142857142857142857...
These never end, but eventually repeat a pattern.
These can be written as a fraction

NOTE: A terminating decimal can be thought of as a repeating decimal where the repeating part is all zeros: $13.9900000000000...
However it is called a terminating decimal when the trailing zeros are not written: $13.99[/QUOTE]

So, does that meen that a terminating decimal ends, but a repeating or a non repeating decimal doesn't end? Thats easy to understand. (terminating is easy now too, if you think of it as terminator ) Thanks!

 

[lillybeth]

Hi Lilybeth

Congratulations on your GREAT grade.

It is very important to put a new problem in a new thread because, as Bob Brown said, many of us do not look at threads that we think have already been asnwered.

One problem in each thread.

New thread for new problem.

OK. Will do next time. Thanks!

 

[lookagain]

There are 3 kinds of decimal numbers. ??

1) terminating decimal: 567.127

This represents a rational number (can be written as a fraction, if you want to)

2) non-repeating decimal: Pi = 3.1415926..., Sqrt(2) = 1.4142136...

These never end and never repeat.

These can not be written as a fraction

3) repeating decimal: 1/3 = 0.333333..., 1/7=0.142857142857142857...

These never end, but eventually repeat a pattern.
There is a block of digits that repeat forever beyond some point,
and these blocks are always adjacent to each other.

The following decimal keeps a pattern forever, but there are not
blocks of digits that repeat. It is not rational

0.101001000100001000001000000100000001...


The following decimal has a repeating block of digits that are spaced apart
at a constant distance, but they are interwoven with a sequence of digits
that are not repeating blocks of digits

0.17341736173417361736173417361736173617341736173617361736173...




(Some text was eliminated by me.)

...

 

[Deleted member 4993]

So, does that mean that a terminating decimal ends, but a repeating or a non repeating decimal doesn't end? Thats easy to understand. (terminating is easy now too, if you think of it as terminator ) Thanks!

Yep - it is the song that never ends - just don't start singing it......

 

[lillybeth]

Thanks!

Thanks for the terminating decimal help, you guys (and girls)!