______Confident
Chapter/Lesson: Chapter 3 Lesson 13 Page: 136
Objective/Title: Terminating and Repeating Decimals
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Important Terms
Quick Solve
Terminating: having an end/stopping
Create a division problem from the fraction
Repeating: a number or pattern of
numbers that repeats over and over
Add decimal point and zeros behind the
dividend
Decimals: numbers with one or more
digits to the right of a decimal point
denominator (bottom) numerator (top)
Bring the decimal point up and divide
Draw a line over the # or pattern of #'s that
repeat
A zero difference means you can stop dividing
*if no number before the decimal add a zero
Practice Questions
Write each fraction as a decimal; using a bar to show repeating decimals.
1.
20
36
5.
1
11
0.5
36 20
0.09
9. 18 0.9
20
2. 2
9
6. 3
4
10. 3
5
0.2
9 2
0.75
0.6
3. 4 0.8
5
4. 4
6
7. 45 0.83
54
8. 10
90
11. 5 0.5
9
0.6
0.1
12. 9 0.81
11
Notes and Examples
1. To divide a fraction the numerator becomes the dividend and the denominator
becomes the divisor (always put the numerator under the bracket!)
example: 5
12
12
5
2. In order to begin dividing, add a decimal point and zeros at the end of the dividend
example: 5
12
12
5.0
3. Divide: be sure to bring the decimal point straight up into the quotient
0.41666
The six would keep repeating, so
12
5.00
answer: 0.416
this is called a repeating decimal.
-4 8
Stop dividing once you are certain a
20
# or pattern of #'s are going to
-12
continue to repeat
80
-72
80
-72
80
-72
8
4. If a number or pattern of numbers repeats: you must put a line over the number or
pattern of numbers that repeat.
example: 0.416666 = 0.416
0.74747 = 0.74
0.3333 = 0.3
5. If you get a zero difference when dividing: you can stop because it is a terminating
decimal
Example: 3
10
0.3
10 3.0
-3 0
0
answer: 0.3