when we rewrite fractions as decimals, what happens when we do not get zero as a remainder?
DESCRIPTION
When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?. = 0.66666666…. In this lesson you will learn to rewrite fractions as repeating decimals by using long division. Rational numbers can be written as a ratio of. where b ≠ 0. 1 ÷ 3 =. 0.333……. 3. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/1.jpg)
When we rewrite fractions as decimals, what happens
when we do not get zero as a remainder?
= 0.66666666….
![Page 2: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/2.jpg)
In this lesson you will learn to rewrite fractions as repeating
decimals by using long division.
![Page 3: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/3.jpg)
Let’s ReviewLet’s Review
Rational numbers can be written as a ratio of
where b ≠ 0
![Page 4: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/4.jpg)
Let’s ReviewA Common Mistake
![Page 5: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/5.jpg)
Let’s ReviewA Common Mistake
16 = 0.166666….= non − terminating so therefore not rational .
16 = 0.166666….= repeating = rational
![Page 6: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/6.jpg)
Let’s ReviewCore Lesson
1 ÷ 3 =
3 1
0
- 9.0
1
.3
- 91
3
0.333……13=
0
0
0
3
0- 9
1
![Page 7: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/7.jpg)
Let’s ReviewCore Lesson
7 ÷ 11 =
11 7
0
-6 6.0
4
.6
- 3 37
3
0.636363……711=
0
0
0
6
0- 6 6
4
![Page 8: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/8.jpg)
In this lesson you have learned to rewrite fractions as
repeating decimals by using long division.
![Page 9: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/9.jpg)
Let’s ReviewGuided Practice
Rewrite the fraction as a decimal:
![Page 10: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/10.jpg)
Let’s ReviewExtension Activities
Rewrite the fraction as decimal
![Page 11: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?](https://reader035.vdocument.in/reader035/viewer/2022081517/56815ab5550346895dc86d6a/html5/thumbnails/11.jpg)
Let’s ReviewQuick Quiz
Rewrite the fraction as a decimal: