Unit 3: Fractions, Decimals, And Percents Worksheet Page 3
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1
2
3Assessment Focus Here is the Fibonacci sequence:
11.
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, …
We can write consecutive terms as fractions:
1
2
3
5
8
13
, , , , ,
, and so on
1
1
2
3
5
8
a) Write each fraction above as a decimal.
What do you notice about the trend in the decimals?
b) Continue to write consecutive terms as decimals.
Write about what you find out.
1
1
12. a)
Write as a repeating decimal.
7
How many digits repeat?
7
4
These repeating digits are shown around the circle
at the right.
5
2
2
3
4
5
6
b) Write the fractions , , , , and in decimal form.
8
7
7
7
7
7
What patterns do you see?
Explain how the circle of digits can help you write
these fractions as decimals.
Take It Further
13.
a) Write each fraction as a decimal.
Identify the decimals as repeating or terminating.
7
5
3
8
4
i)
ii)
iii)
iv)
v)
8
18
10
27
25
b) Write the denominator of each fraction in part a
A prime number has
as a product of prime factors.
exactly two factors,
c) What do you notice about the prime factors
itself and 1. We can
write 12 as a product
of the denominators of the terminating decimals?
of prime factors:
The repeating decimals?
2
2
3
d) Use your answers to part c.
Predict which of these fractions can be written
as terminating decimals.
7
13
5
9
i)
ii)
iii)
iv)
15
40
81
16
Sometimes it is hard to figure out if a fraction can be written
as a terminating decimal or a repeating decimal.
What can you do if you are stuck?
90
UNIT 3: Fractions, Decimals, and Percents
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