DEFINITION. A decimal is a number that represents a fraction whose
denominator is a power of ten. That is, the denominator is 10 or 100 or
1000 or 10,000, etc.
Being a "power of ten" simply means that the denominator is 10
multiplied by itself a certain number of times. The "power" shows how
many times 10 is multiplied by itself to obtain the number. The number
1000, for example, is 10 x 10 x 10. This shows that 1000 is 10
multiplied by itself three times. 1000 is 10 to the third power (usually
written as 103).
a. What is the denominator of a fraction if the denominator is equal to 10
to the sixth power?
b. What is the denominator of a fraction if the denominator is equal to 10
to the first power?
READING AND WRITING DECIMALS
. Each digit
in a decimal has
place value. A decimal point (period or dot) is used to separate the
whole number from the decimal numerals (fraction). Like the place
values shown in Frame 1-2, each place value has a name. Like whole
numbers, the value decreases by one-tenth (1/10) each time you move to
the right. (Likewise, the place value increases by 10 if you go to the left.)
The names of some of the place values are shown below.
Note: If the entire number has a value that is less than one (there are no
(the "n" represents the
whole numbers to the left of the decimal), a zero is usually placed in the
ones place to make reading easier (it emphasizes the decimal point).
NOTE: Commas are not used to the right of the decimal.
What would you call the eighth and ninth places to the right of the