Can any non-repeating decimal be written as a fraction?
For example, 0.21456456456456456
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Can any non-repeating decimal be written as a fraction?
For example, 0.21456456456456456
that is a repeating decimal. yes, it can be written as a fraction.Quote:
Originally Posted by BlueStar
NON-repeating decimals cannot be written as fractions, they are also known as irrational numbers. for instance,,
and
have NON-repeating decimal expansions, you cannot write them as fractions
Hello,Quote:
Originally Posted by BlueStar
provided that the ...456... is repeated endlessly then the decimal can be transformed into a fraction.
Let x = 0.21456456456456...
1. The non-repeating part contains 2 digits. Now multiply x by 10². You get:
100x = 21.456456456456...
2. The repeating part contains 3 digits. Now multipy the result of 1. by 10³. You get:
100000x = 21456.456456456456...
3. Subtract both results:
99900x = 21435. Solve for x: