4­7 _ 4­8 Decimals and Fractions.notebook
Daily Do from last class
Complete the Inequality statement
November 10, 2016
Homework Answers 4­6
1. <
2. =
3. >
4. <
5. =
6. <
7. <
8. >
9. >
10. > 11. > 12. >
13. > 14. < 15. > 16.<
3 7 17. > 18. >
7 8
21. < 22. =
19. = 20. >
23. > 24. <
25. 2/5, 1/2, 5/8, 3/4
26. 1/6, 3/14, 2/7, 1/3
27. 4/9, 7/12, 2/3, 5/6
28. 2/3, 7/9, 4/5, 13/15
29. 9/16, 3/4, 5/6, 11/12
30. 5/12, 7/15, 1/2, 3/5
Nov 7­5:38 PM
lessons 4­7 and 4­8
Writing Fractions as Decimals
&
Writing Decimals as Fractions
Jan 19­4:02 PM
1
4­7 _ 4­8 Decimals and Fractions.notebook
November 10, 2016
It's important to have a general idea of where a number falls on a number line.
19
20
3
5
3
10
0
1
14
2
1
0.15 0.40
0.75
1.05
1.8
1.50
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But o not kno al is or
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what on...
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Page 2
Writing decimals as fractions
Just read the decimal, that will tell you how to write it as a fraction.
Fraction
Simplest Form
0 . 15
15
100
0.8
0 . 125
3
20
8
4
10
5
125
1
1,000
8
Page 3
2
4­7 _ 4­8 Decimals and Fractions.notebook
November 10, 2016
Write these decimals as fractions
Fraction
Simplest Form
75
0.75
0.66
0.201
Page 4
Writing fractions as decimals: method 1
Find an equivalent fraction with 10, 100, or 1000 in the denominator.
Reading the fraction will help find it's decimal form.
x 2
6 3
= 10 =
5
Write as a decimal
0. 6
x 2
x 4
= 1 16 1 4
25
100 =
x 4
Page 5
3
4­7 _ 4­8 Decimals and Fractions.notebook
November 10, 2016
Writing fractions as decimals: method 2
You can ALWAYS use long division to turn a fraction into a decimal.
.7 5 3
= 3 ÷ 4 = 0.75
4
4 3.0 0 2 8
2 0 2 0 0 3 = 3 ÷ 8 = 0.375
?
?
8
Page 6
Writing fractions as decimals
2
=
7
2
÷
7
7
= 7
21
÷
21 =
1
4 16 = 4+ (
1
÷
=
16
)=
Page 7
4
4­7 _ 4­8 Decimals and Fractions.notebook
November 10, 2016
Repeating or terminating decimals
0.125
0.4
Terminating decimals
0.375
4.333...
4.3
0.8181...
0.81
Repeating decimals
0.111...
0.1
*You can use bar notation to show repeating decimals.
Page 8
Repeating or terminating decimals
If one digit is repeating the denominator is 9
If two digits are repeating the denominator is 99
If three digits are repeating the denominator is __
4.333...
4.3
0.81
0.8181...
Repeating decimals
0.111...
0.1
*You can use bar notation to show repeating decimals.
Page 8
5
4­7 _ 4­8 Decimals and Fractions.notebook
November 10, 2016
Match fractions and decimals
4
9
0.4
5
8
0.625
1
10
0.1
4
5
0.8
5
11
0.45
11
20
0.55
Page 9
Nov 7­5:53 PM
6
Attachments
Fractions_Decimals.pdf