Unit 3: Fractions, Decimals, And Percents Worksheet

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5
11
55
, or 0.55
20
100
5
3
cannot be written as a fraction with denominator 10, 100, or 1000.
7
Use a calculator.
0.4285714
3
3
7
0.428 571 429
7
7
3.00000000
This appears to be a terminating decimal.
28
We use long division to check.
20
14
Since we are dividing by 7, the remainders must be
60
less than 7.
56
Since we get a remainder that occurred before,
40
the division repeats.
35
3
So,
0.428 571
50
7
49
The calculator rounds the decimal to fit the display:
10
3
7
0. 428 571 428 571…
7
30
28
This is the last digit
Since this digit is 5, the calculator
20
in the display.
adds 1 to the preceding digit.
So, the calculator displays an approximate decimal value:
3
0.428 571 429
7
13
1
11
b) Since 0.065, 0.2, and 0.55 terminate,
, , and
represent terminating decimals.
200
5
20
3
Since 0.428 571 repeats, represents a repeating decimal.
7
Use a calculator when you need to.
1. a)
Write each fraction as a decimal.
2
3
4
5
6
i)
ii)
iii)
iv)
v)
3
4
5
6
7
b) Identify each decimal as terminating or repeating.
Write each decimal as a fraction.
2.
a) 0.9
b) 0.26
c) 0.45
d) 0.01
e) 0.125
88
UNIT 3: Fractions, Decimals, and Percents

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