- #1
Mr Davis 97
- 1,462
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For example, say I want to convert 1/7 to its representation as a repeating decimal? Is the fastest way just to do long division, or is there a faster way?
0 . 1 4 2 8
_____________________
7 ) 1. 0 0 0 0 0 0
7
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3 0
2 8
--------
2 0
1 4
-------
6 0
I would say it is still necessary, to a much lesser extent perhaps. There are so many times I want to do a calculation but don't have my phone at hand, or it seems like too trivial a calculation to go through all the button pressing and screen swiping it takes to open a damn calculator app, or it is just too inconvenient to waggle a phone/calculator around (like when shopping). Times when I go to pay in a shop and I give the person a few extra coins so they can give me back a note instead of a heap of change, a look of fear always sweeps across their face. For example, the other day I paid for $10.50 of items with a $20 note and a 50c and the guy was very unsure about giving me a $10 note in change.fresh_42 said:Whatever might be the answer to this basic question. IMO it simply disguises the fundamental difference between now and then... This has fundamentally changed and younger people normally aren't used to numeric solutions anymore. It isn't needed... Comparable effects could be said about the usage of units. I can't even estimate how often I requested to pull units through an entire calculation.
To convert a fraction into a repeating decimal, you can use the long division method. Divide the numerator by the denominator and keep track of the remainder. If the remainder is 0, the fraction is already a terminating decimal. If the remainder repeats, the fraction will become a repeating decimal.
No, not all fractions can be converted into repeating decimals. Fractions whose denominators are prime numbers other than 2 and 5 will result in repeating decimals.
A repeating decimal is a decimal number in which one or more digits repeat infinitely after the decimal point.
The pattern of a repeating decimal can be determined by looking at the number of digits that repeat. This number will be the same as the number of digits in the denominator of the fraction.
Yes, you can convert a repeating decimal back into a fraction by setting up an equation with the repeating decimal as x and solving for x. This will give you the fraction in its simplest form.