Repeating Decimals Worksheet Page 2
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1
2
3Exercise 1. Use your fx-300ES, and any patterns you may observe, to fill in
the following blanks. Your answers should be fractions in simplest form.
=
=
=
=
=
=
0.36 _____
0.46 _____
0.56 _____
0.76 _____
0.86 _____
0.96 _____
Type “1.2343434...” until the repeating “34”s fill the top line of the
611
screen. Then press [=]. The calculator outputs the improper fraction
.
495
Since we initially typed in a number greater than 1, perhaps we would like
to view this equivalent fraction as a whole number. To do so, press
a Û
b
d
1
116
[SHIFT]-[S D] (
). The output is
.
c
c
495
Exercise 2. Use your fx-300ES, and any patterns you may observe, to fill in
the following blanks. The answers in the two blanks should be (in simplest
form) an improper fraction and a mixed number, respectively.
=
=
=
=
=
=
2.345 _____
_____
3.456 _____
_____
4.567
_____
_____
=
=
=
=
5.678 _____
_____
6.789 _____
_____
From the results of Exercise 2, it seems that fractions with denominators
of 495 can be expressed in the form of a repeating decimal. Test this idea
by typing:
X
[
] [2][3][3] [ ] [4][9][5] [=]
[S D]
X
The resulting decimal is 0.4707070... 0.470
.
=
Now convert a mixed number to a decimal, by typing:
X
X
X
[SHIFT]-[
] (
) [1] [ ] [7] [ ] [3][0] [=] [S D]
X
X
The resulting decimal is 1.233333... 1.23
.
=
(Note: You can force the fx-300ES to output fractions as mixed numbers
by typing
[SHIFT]-[SETUP] [ ] [1]. )
Exercise 3. Find a fraction or mixed number that is equivalent to a repeating
decimal with a repetend delayed by two digits.
SOLUTIONS TO EXERCISES:
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