Download Ch. 1-1 Online Notes

Name
Class
Date
Lesson 1-1 Rational Numbers
Lesson Objective
Common Core Standard
To write equivalent fractions and decimals
The Number System: 8.NS.1
Vocabulary
a
b
A rational number is an integer and b is any nonzero integer.
A terminating decimal is a decimal that stops.
A repeating decimal is a
decimal that repeats the same digit or group of digits
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a number that can be written in the form , where a is
forever.
Example
1 Writing a Terminating Decimal Find the batting average of a hitter with 27 hits in
0.225 ← This is a terminating decimal.
27 4 120 5 12027.000
2 240
300
2 240
600
2 600
← There is no remainder.
0
So the player’s batting average is .225 .
27
or
120
Quick Check
1. Find the batting average of a hitter with 22 hits in 80 times at bat.
.275
2
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120 times at bat.
Daily Notetaking Guide
10/10/12 4:19 PM
Name
Class
Date
Examples
2 Writing a Repeating Decimal Write
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0.3636
28
or
77
28 4 77 5 7728.0000
← This is a repeating
decimal.
2 231 490
2 462
280
2 231
490
2 462
28
28
as a decimal.
77
28
So
5
77
← There will always be a remainder of
28
or
49
.
0.36 .
3 Writing an Equivalent Fraction Write 1.24 as a mixed number in simplest form.
© Pearson Education, Inc., publishing as Pearson Prentice Hall.
1.24
1 1.24 5
5
5
5
← Write as a fraction with the denominator 1.
Since there are two digits to the right of
the decimal point, multiply the numerator
and the denominator by 100 .
124
100
4
100 4 4
← Divide the numerator and the denominator
124 4
31
5
25
1
by the
6
25
GCF .
← Simplify. Write as a mixed number.
Quick Check
2. Write
55
as a decimal.
60
0.916
3. Write 1.42 as a mixed number in simplest form.
1
21
50
Daily Notetaking Guide
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3
10/10/12 4:19 PM