#### Transcript of Turning Fractions into Decimals

3/5 = 6/10 = .6 4/50 = 8/100 = .08

7/20= 35/100 = .35 8/25= 32/100 = .32

9/125= 72/1000 = .072 14/70= 2/10 = .2

**Turning Fractions into Decimals**

Next...determine if you can rename your fraction to have a denominator of 10, 100, 1000...?

If all else fails, divide the numerator by the denominator!

If you can't simply create an equivalent fraction with a denominator of 10, 100, 1000.......

then you simply divide the numerator by the denominator to turn your fraction into a decimal.

Is it repeating or terminating?

**R&E**

1. Examine your denominator- if the denominator is 10 or 100 or 1000...

use your knowledge of place value.

First...examine your denominator!

does your fraction have a denominator of 10 or 100 or

1000 or 10,000. (or any other multiple of 10)?

3/10 = .3

3/100 = .03

9/1000 = .009

3/100 =

9/1000 = .

3/10 =

if so...use your knowledge of place value to write a decimal representation

Make an equivalent fraction with a denominator of 10, or 100, or 1000.........and then use your knowledge of place value to turn it into a decimal

3/5 = 7/20= 8/25=

4/50= 14/70= 9/125=

3/7 3 ÷ 7

3 0 0 0

7

.

.

4 2 8 5

2 8

2 0

1 4

6 0

5 6

4 0

3 5

5 0

1/9 1 ÷ 9

1 0 0 0

9

.

1 1 1 1

9

1 0

9

1 0

9

1 0

9

1

3/8 3 ÷ 8

3 0 0 0

8

.

3 7 5

2 4

6 0

5 6

4 0

4 0

0

.

Terminating

.

Repeating

Non-Terminating

Non-Repeating

Non-Terminating

.

3 0 0 0

8

.

9

.

1 0 0 0

3 0 0 0

7

.

A terminating decimal has digits that do not go on forever

A repeating decimal has digits that repeat forever

**Turning a fraction into a decimal:**

3. Divide the numerator by the

denominator

2. Check to see if you can rename your faction to an equivalent fraction with a denominator of 10, 100, 1000. Write your decimal as in step #1.

Warm up

On your whiteboard answer the following:

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