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Module # 5 of 15 Dividing Decimals 7th Grade

Students: Please return your completed module to your HIP teacher. Your HIP teacher will forward your completed module to your science or math teacher to make sure you receive credit for the work you have completed. Remember, your future is extremely important to us and we are here to help you! Get your next module and keep going ­ you will be SUCCESSFUL!!!

Math Dragon Presents "Dividing decimals"

Dividing decimals with and without models

Division with Decimal Models

You can use decimal models to divide decimals.

This is .01 of a whole (10 of these will make .1) (100 of these will make 1)

This is .1 of a whole

This represents 1 WHOLE

(10 of these will make 1 whole)

Division with Decimal Models

· Find 2.6 2 using decimal models. · Start by shading two decimal whole models and 6 tenths to represent the divisor 2.6. · Separate the models into two equal groups. · Each group contains one whole and 3 tenths.

So 2.6 2 = 1.3

Practice: 0.54 3 =

0.54 tells you what to shade in

Practice: 1.2 4 =

The 4 tells you how many separate equal groups you need.

Division with Decimal Models

· Find 1.8 0.3 using decimal models. · Start by shading one decimal whole model and 8 tenths to represent the divisor . · Separate the models into groups of 3 tenths. · There are 6 whole groups.

So 1.8 0.3 = 6

Practice: 1.6 0.4 =

The 1.6 tells you what to shade in.

Practice: 2.4 0.8 =

The 0.8 tells you how many will be in each group.

Division with Decimal Models

· · · · Find 0.2 0.05 using decimal models. Start by shading 2 tenths to represent the divisor . Separate the models into groups of 5 hundredths. There are 4 whole groups.

So 0.2 0.05 = 4

Practice: 0.4 0.08 =

The 0.08 tells you how many will be in each group.

Practice: 0.3 0.03 =

The 0.3 tells you what to shade in.

Dividing Decimals

In 7th grade we no longer use remainders!!

This following pages will show you how to set up and perform a decimal division problem.

18.146 ÷ 2.15

2.15 18.146

You can't divide by a decimal so you have to move the decimal in the divisor all the way to the right.

Look at the divisor

215. 18.146

Do we need to keep the decimal behind the number or can we just assume it is there?

Now we have to move the decimal in the dividend

215 1814.6

We need to move the decimal the same number of spaces and in the same direction for the dividend to keep everything the same.

Now we are ready to divide

215 1814.6

How many times does 215 go into 1? 0!

How many times does 215 go into 18? 0!

How many times does 215 go into 181? 0! How many times does 215 go into 1814??

Continuing on

00 08

215 1814.6

1720

94

8 x 215 is 1720

Placing the decimal in the answer

0 0 08 .

215 1814.6

1720

946

The decimal goes directly above the decimal in the dividend

Notice that we've dropped the 6 down.

Continuing on again

0 0 0 8. 4

You must add a zero on to the dividend to finish

215 1814.60

1720 946 860 860

And finish!

0008 . 4 4

215 1814.60

1720

946 860 860 860 0

So, 18.146 ÷ 2.15 is 8.44

8.44

2.15 18.146

Time to Practice!!!

Dividing Decimals

Divide 5.4 3 Divide 12.9 ÷ 6

To check that the answer is correct, multiply the quotient by the divisor.

1.8

Dividing Decimals

Divide 22.1 3.4 Divide 7.82 ÷ 4.6

To check that the answer is correct, multiply the quotient by the divisor.

6.5

Dividing Decimals

Divide 199.68 9.6 Divide 5.992 ÷ 74.9

To check that the answer is correct, multiply the quotient by the divisor.

20.8

Lets See How much you have learned!!!

Dividing Decimals

The Riojas family purchased 8.8 gallons of gasoline for $18.04. How much did they pay per gallon?

Write your answer in the answer boxes at the top of the grid then grid in the corresponding bubble below.

Dividing Decimals

Mrs. Dalros bought 2.5 pounds of hamburger for $5.20. How much did she pay in dollars per pound?

Write your answer in the answer boxes at the top of the grid then grid in the corresponding bubble below.

Congratulations!!!

Job Well Done, and we will see you again soon in

"Math dragon's Math adventure!!"

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