Decimals
A decimal number is a fraction in disguise: 
. 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.
(one decimal place-one zero)
(four decimal places-four zeros)
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 . . . = ⅓. But some nonterminating decimals, like π = 3.1415926654 . . . and √2 = 1.414213562 . . ., 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.
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