Transcript 11-8 PPT

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Friday, Nov 8
Lesson 5.4
Terminating and Repeating Decimals
Terminating and Repeating Decimals
Objective: To express positive and negative
fractions as decimals.
Terminating and Repeating Decimals
At the end of this lesson you should be able
to answer the following question.
How are repeating decimals used in real world
situations?
Terminating and Repeating Decimals
A Rational Number is any number that can
be written as a fraction.
That means it can be written as a fraction, in
which both the numerator and the
denominator are whole numbers.
Terminating and Repeating Decimals
Terminating and Repeating Decimals
Non-rational numbers are called irrational.
Do you know an irrational number?
A number that cannot be expressed as a
fraction?
Terminating and Repeating Decimals
Non-rational numbers are called irrational.
Do you know an irrational number?
π
Terminating and Repeating Decimals
Bar notation is a bar placed over the digit(s)
that repeat.
example
0.54545454 = 0.54
Terminating and Repeating Decimals
5
Write 12 as a decimal.
How do you set this up as a math problem?
Terminating and Repeating Decimals
5
Write 12 as a decimal.
12 ) 5
or
5 ÷ 12
What is it as a decimal?
Terminating and Repeating Decimals
5
Write 12 as a decimal. 0.416
0.4166
12 ) 5.0000
-48
20
-12
80
-72
80
-72
8
Terminating and Repeating Decimals
1
Write 6 as a decimal.
Terminating and Repeating Decimals
1
Write 6 as a decimal. 0.16
0.166
6)1.000
-6
40
-36
40
Terminating and Repeating Decimals
2
Write 9 as a decimal.
-
Terminating and Repeating Decimals
2
Write 9 as a decimal.
-
We can remove the negative sign to divide
and re-attach it at the end.
Terminating and Repeating Decimals
2
Write 9 as a decimal. - 0.2
0.22
9)2.00
-18
20
-18
2
-
Terminating and Repeating Decimals
2
Write
3 as a decimal.
-2
Terminating and Repeating Decimals
2
Write
3 as a decimal.
-2
We can remove the negative sign and whole
number to divide and re-attach them at the
end.
Terminating and Repeating Decimals
2
Write
3 as a decimal. -2.6
-2
Terminating and Repeating Decimals
Frank made 34 out of 44 free throws this
season. What is his free throw percentage?
Do this on your own.
Terminating and Repeating Decimals
Frank made 34 out of 44 free throws this
season. What is his free throw percentage?
00.7727 Here is the decimal, what is the percentage?
44 )34.00000
-308
320
-308
120
-88
320
-308
120
Terminating and Repeating Decimals
Frank made 34 out of 44 free throws this
season. What is his free throw percentage?
00.7727 Here is the decimal, what is the percentage?
44 )34.00000
-308
320
-308
120
-88
320
-308
120
77.27%
Terminating and Repeating Decimals
How are repeating decimals used in real world
situations?
Terminating and Repeating Decimals
Agenda Notes
Homework –
No Homework
Chapter 5 Test –Friday, Nov 15