When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?

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When we rewrite fractions as decimals, what happens when we do not get zero as a remainder? = 0.66666666….

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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 Presentation

Transcript of When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?

Page 1: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?

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?

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?

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?

Let’s ReviewA Common Mistake

Page 5: When we rewrite fractions as decimals, what happens when we do not get zero as a remainder?

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?

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?

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?

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?

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?

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?

Let’s ReviewQuick Quiz

Rewrite the fraction as a decimal: