A decimal number is a fraction in
disguise:
and
or
. The number in front of the decimal point is the whole number (if there is one) and the number behind the
decimal point is the numerator of a fraction whose denominator is a power of ten. The denominator
will consist of 1 followed by
one or more zeros. The number of zeros is the same as the number of digits behind the decimal
point.
Practice
Rewrite as a fraction. If the decimal number is more than
1, rewrite the number both as a mixed number and as an improper fraction.
1. 1.71 =
2. 34.598 =
3. 0.6 =
4. 0.289421 =
Solutions
There
are two types of decimal numbers, terminating and nonterminating. The above
examples and practice problems are terminating decimal numbers. A
nonterminating decimal number has infinitely many nonzero digits following the
decimal point. For example, 0.333333333 . . . is a nonterminating decimal number.
Some nonterminating decimal numbers represent fractions—0.333333333 . . . = 1/3.
But some nonterminating decimals, like π = 3.1415926654 . . . and √2 = 3.1414213562
. . ., do not represent fractions. We will be concerned mostly with terminating
decimal numbers in this book.
You can
add as many zeros at the end of a terminating decimal number as you want
because the extra zeros cancel away.
Sumber
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