Patterns for Dividing with Decimals

Thousands

Hundreds

Tens

Ones

(decimal)

Tenths

Hundredths

Thousandths

9

2

3

Dividing by 10 is the same as dividing
by 1. The quotient is still 9.23

0

What is the quotient of

6,381.2 10

2

Answer is on the next slide.

What is the quotient of

6.6 10

1

Answer is on the next slide.

What is the quotient of

4,293 10

3

Answer is on the next slide.

What is the quotient of

943 100

Answer is on the next slide.

Answer

943 100

9.43

What is the quotient of

1,720 1,000

Answer is on the next slide.

What’s missing?

34.2 ____ = 3.42

Answer is on the next slide.

Word

Problem

10 large bags of
cat food weigh
525.5 pounds. How
much does each bag
weigh?

2

Answer is on the next slide.

Critique
Reasoning

Mika divided 89.3
by 10 and got a
quotient of 893. Is
she correct? How
do you know?

1

Answer is on the next slide.

Last

Question

Maddox’s book collection
weighs a total of 312
pounds. If the books each
weigh 3.12 pounds, how
many books does he have?

Answer is on the next slide.

Estimate
Decimal

Quotients

6-2

9 ➗

1 = 9

9 is a good estimate!

Did you think of another way

to find an estimate?

Discuss.

What would be a
good estimate for

145.43 ➗

21.1?

Answer is on the next slide.

What would be a
good estimate for
253.87 ➗

61.8?

Answer is on the next slide.

What would be a
good estimate for

14.2➗

3.2?

Answer is on the next slide.

Word

Problems

Jack purchased 31.9
pounds of watermelon.

If each watermelon
weighed 5.72 pounds
ABOUT how many did

he buy?

Answer is on the next slide.

Matthew purchased 33.1
pounds of cantaloupe. If
each cantaloupe weighed
4.2 pounds, ABOUT how
many of them did he buy?

Answer is on the next slide.

Last

Question

Jan purchased 155.6
ounces of flour. If
there are 81 ounces
per bag, ABOUT how

many bags did she buy?

Answer is on the next slide.

155.6 ➗

81

160 ➗

80 = 2

She purchased
about 2 bags

of flour.

In today’s
lesson, we’ll be
using models
of ones,
tenths, and
hundredths.

One

Tenth

Hundredth

Go on

Are you ready
to practice one
with less help?

Find the Quotient

8.26 ➗

2

Answer is on the next slide.

Find the Quotient

5.84 ➗

4

Answer is on the next slide.

Find the Quotient

2.17 ➗

7

Answer is on the next slide.

Find the Quotient

6.21 ➗

3

Answer is on the next slide.

2.07

3 6.21
-6.00
0.21
-0.21
0

Check
your
work.

Critique
Reasoning

2.70

4 8.32
-8.00
0.32
-0.32
0

Lisa solved

this problem.
What mistake

did she
make?

Answer is on the next slide.

3 1 1 3 0 . 5 1

Start by

thinking where
the first digit
in the quotient

will be.

Then solve.

Go on.

1 2 6 5 5 . 2

Start by

thinking where
the first digit
in the quotient

will be.

Then solve.

Go on.

Dividing decimals by 2-digit
numbers is very similar to
the steps we use for
dividing whole numbers by
2-digit numbers. Here’s a
step by step example.

24
6 3 1 . 2

I can make 2
groups of 24
from 63 tens.
Place a 2 in the
tens place and

multiply.

.

Go on.

1 5 1 4 2 . 5

Start by

thinking where
the first digit
in the quotient

will be.

Then solve.

Go on.

30 8 1 . 3 0

Start by

thinking where
the first digit
in the quotient

will be.

Then solve.

Answer is on the next slide.

Word

Problems

Alex purchased a scooter
for $985.20. He will make
12 equal payments this
year to pay for it. How
much will he pay for each
payment?

Answer is on the next slide.

985.20 ➗

12 = 82.10

He will pay $82.10

each month

(for 12 months)

Miley spent $37.95
for 11 cupcakes for
her daughter’s party.
How much was each
cupcake?

Answer is on the next slide.

Last

Question

It took Ricky 12 hours
to drive 783.6 miles. If
he kept a constant
speed, how many miles
did he go each hour?

Answer is on the next slide.

22

7 4 8

-6 6
8 8
-8 8
0

3 4

7.48 ➗

0.22 = 34

748 ➗

22 = 34

Solve

6.88 ➗

0.16

Hint, multiply them both by 100

or 10

2

Answer is on the next slide

Solve

86.4 ➗

1.8

Hint, multiply them both by 10

or 10

1

Answer is on the next slide

Critique

Reasoning,

Last

Question

Wendy divided
107.1 by 5.1 and got an
answer of 2.1. Is this
answer reasonable? Can
you tell what she did
wrong?

Answer is on the next slide

Item

Price

9 glitter pencils
$11.88

7 gel pens
$10.92

3 highlighters
$3.12

Use the
table to

determine
the price
for ONE

pencil.

Answer is on the next slide

Item

Price

9 glitter pencils
$11.88

7 gel pens
$10.92

3 highlighters
$3.12

Use the
table to

determine
the price
for ONE

pen.

Answer is on the next slide

Item

Price

9 glitter pencils
$11.88

7 gel pens
$10.92

3 highlighters
$3.12

Use the
table to

determine
the price
for ONE

highlighter.

Answer is on the next slide

Pounds

purchased

Pounds needed for
each snack pack.

Grapes

3.45
0.15 pounds of

grapes

Strawberries

9.89
0.23 pounds of
strawberries

Kiwi

29.64
0.57 pounds of

kiwi

April is making
small snack packs
from the fruit her
manager purchased.
How many snack
packs of grapes
can be made from
the pounds that
were purchased?

Answer is on the next slide

Pounds

purchased

Pounds needed for
each snack pack.

Grapes

3.45
0.15 pounds of

grapes

Strawberries

9.89
0.23 pounds of
strawberries

Kiwi

29.64
0.57 pounds of

kiwi

April is making small
snack packs from the
fruit her manager
purchased. How
many snack packs of
strawberries can be
made from the
pounds that were
purchased?

Answer is on the next slide

Last

Question

Pounds

purchased

Pounds needed for
each snack pack.

Grapes

3.45
0.15 pounds of

grapes

Strawberries

9.89
0.23 pounds of
strawberries

Kiwi

29.64
0.57 pounds of

kiwi

April is making small
snack packs from
the fruit her
manager purchased.
How many snack
packs of kiwi can be
made from the
pounds that were
purchased?

Answer is on the next slide