Decimals…What’s the Point?

1 / 11

# Decimals…What’s the Point? - PowerPoint PPT Presentation

Decimals…What’s the Point?. August 20th. Warm up. Explain 4 steps when you divide a decimal by a decimal….remember to include where the decimal will be in your answer or quotient. Show an example. Multi-digit decimals. What am I Learning Today?. How will I show that I learned it?.

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

## PowerPoint Slideshow about ' Decimals…What’s the Point?' - season

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Decimals…What’s the Point?

August 20th

Warm up
• Explain 4 steps when you divide a decimal by a decimal….remember to include where the decimal will be in your answer or quotient. Show an example.
Multi-digit decimalsWhat am I Learning Today?

How will I show that I learned it?

By fluently dividing multi-digit decimals correctly.

Remember these division terms!

Quotient

0.15

0.75

5

Divisor

Dividend

How do I divide decimal numbers by whole numbers?

1) Bring the decimal point up on top of the division bar.

2) Divide like whole numbers.

Questions

1) Make the divisor a whole number by moving the decimal point to the far right of the number.

2) Move the decimal in your dividend the same number of places to the right as the divisor.

3) Bring your decimal point up and divide like whole numbers.

How do I divide decimal numbers by decimal numbers?

If the decimal quotient doesn’t terminate, how do I know when to stop?

Divide out to the thousandths place and round back to the hundredths place.

How do I know if a decimal quotient is repeating?

If you complete the same subtraction problem two times while dividing.

Place a decimal point in the quotient directly above the decimal point in the dividend. Divide as you would with whole numbers.

Dividing a Decimal by a Whole Number

Find the quotient.

3.56 ÷ 4

0.

8

9

4 3.56

– 32

36

– 36

0

Multiplying the divisor and the dividend by the same number does not change the quotient.

42 ÷ 6 = 7

10  10

420 ÷ 60 = 7

 10  10

4,200 ÷ 600 = 7

Multiply the divisor and dividend by the same power of ten.

There is one decimal place in the divisor. Multiply by 101, or 10.

Think: 1.3 x 10 = 13 5.2 x 10 = 52

Divide.

Dividing a Decimal by a Decimal

Find the quotient.

5.2 ÷ 1.3

1.3 5.2

4

13 52

–52

0

5.2 ÷ 1.3 = 4

36 6,130.000

Think: 0.36 x 100 = 36 61.3 x 100 = 6,130

Make the divisor a whole number by multiplying the divisor and dividend by 102, or 100.

Dividing a Decimal by a Decimal

61.3 ÷ 0.36

0.36 61.30

__

When a repeating pattern occurs, draw a bar over the repeating part of the quotient.

Place the decimal point in the quotient. Divide.

61.3 ÷ 0.36 = 170.27

Example Continued

0

.2

1

7

7

7

36 6,130.000

-36

253

-252

10

-0

100

-72

280

-252

280

-252

28

Now Try These!

Find each quotient.

1. 49 ÷ 0.7

2. 21.63 ÷ 2.1

3. 38.43 ÷ 6.1

4. 16.9 ÷ 5.2

5. John spent \$13.44 renting 4 videos for the weekend. What was the cost per video?

70

10.3

6.3

3.25

\$3.36