Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Is it possible to express every decimal as a fraction (without rounding)? Why or why not?

Sagot :

cpena5
Yes, you would just have to change the denominator. For example, .2 would be 2/10 and .201 would be 201/1000. A good rule of thumb is to use place value.

. ____2____ _____0_____ ______1_____
      tenths     hundredths     thousandths

Since the last place value is thousandths my denominator is going to be in the thousands. 
AL2006
If the decimal ends, then always yes.
When you read the decimal, you call it some number of
tenths, or hundredths, or thousandths, or millionths etc.,
and what you call it when you read it consists of the same
words you use when it's written as a fraction.

If the decimal never ends but just keeps going on forever,
then ...
---  if the same group of digits repeats over and over, (as they do in the
decimal form of 1/3, 1/7, and 1/9), then the decimal can be expressed
as a fraction, even though the decimal never ends.
--  if a group of digits doesn't repeat, (as in 'pi' or 'e' for example), then
the decimal is an irrational number  The definition of an irrational number
is one that can't be expressed as a fraction.
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.