Rational Numbers And Equations Worksheet Page 3
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3
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5
6English
Spanish
Lesson
2.1
Lesson Tutorials
A terminating decimal is a decimal that ends.
Key Vocabulary
1.5, –0.25, 10.625
terminating decimal,
p. 52
A repeating decimal is a decimal that has a pattern that repeats.
repeating decimal,
—
−1.333 . . . = −1.
p. 52
3
Use bar notation to show
rational number,
—
which of the digits repeat.
0.151515 . . . = 0.
15
p. 52
Terminating and repeating decimals are examples of rational numbers.
Rational Numbers
Rational Numbers
A rational number is a number that
2
−
−1.2
a
3
Integers
can be written as
—
where a and b are
b
−10
−2
integers and b ≠ 0.
0
Whole Numbers
4
1
3
5.8
2
1 1
Writing Rational Numbers as Decimals
EXAMPLE
1
5
a. Write −2
—
as a decimal.
b. Write
—
as a decimal.
4
11
1
9
Notice that −2
= −
0.4545
—
—
.
Divide 5 by 11.
)
4
4
‾
11
5.0000
2.25
− 4 4
Divide 9 by 4.
)
‾
4
9.00
60
− 8
− 55
1 0
50
− 8
− 44
20
60
The remainder repeats. So,
The remainder is 0. So, it
− 20
− 55
it is a repeating decimal.
is a terminating decimal.
0
5
—
1
5
So, −2
= −2.25.
= 0.
—
—
So,
45 .
4
11
Write the rational number as a decimal.
6
3
3
5
Exercises 11–18
1. −
2. −7
3. −
—
—
—
—
4. 1
5
8
11
27
52
Chapter 2
Rational Numbers and Equations
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