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What does decimal fraction mean?

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โˆ™ 2013-06-13 19:45:41

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A decimal number is one in which the place value of each digit is ten times the place value of the digit to its right. (... , thousands, hundreds, tens, units, tenths, hundredths, ... ) A decimal point is used to separate the units from the tenths.

If a number in decimal form has non-zero digits after the decimal point then it is a decimal fraction. [There is one esoteric exception: if the decimal point is followed by an infinite string of 9s, then it is not a decimal fraction.]

Thus

37.6 is a decimal fraction

0.6 is a decimal fraction

0.00000063 is a decimal fraction

37 is not a decimal fraction.

37.0 is not a decimal fraction.

37.999... recurring is no a decimal fraction [it is in fact = 38].

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โˆ™ 2013-06-13 19:45:41
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Algebra

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