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
This Sprint will help students build
automaticity in subtracting decimals
without regrouping.

4 X 3 = _____. Say the multiplication
sentence in unit form.
› 4 x 3 ones = 12 ones

4 x 0.2 = _____. Say the multiplication
sentence in unit form.
 4 x 2 tenths = 8 tenths

4 X 3.2 = _____. Say the multiplication
sentence in unit form.
› 4 x 3 ones 2 tenths = 12 ones 8 tenths = 12.8

4 x 3.21 = _____. Say the multiplication
sentence in unit form.
 4 x 3 ones 2 tenths 1 hundredth = 12 ones 8
tenths 4 hundredths = 12.84

9 X 2 = _____. Say the multiplication
sentence in unit form.
› 9 x 2 ones = 18 ones = 18

9 x 0.1 = _____. Say the multiplication
sentence in unit form.
 9 x 1 tenth = 9 tenths = 0.9

9 X 0.03 = _____. Say the multiplication
sentence in unit form.
› 9 x 3 hundredths = 27 hundredths = 0.27

9 x 2.13 = _____. Say the multiplication
sentence in unit form.
 9 x 2 ones 1 tenth 3 hundredths = 18 ones 9
tenths 27 hundredths = 19.17

4.012 x 4 = _____. Say the multiplication
sentence in unit form.
› 4 ones 12 thousandths x 4 = 16 ones 48
thousandths = 16.048

5 x 3.237 = _____. Say the multiplication
sentence in unit form.
 5 x 3 ones 237 thousandths = 15 ones 10 tenths
15 hundredths 35 thousandths = 16.185
Compare the following numbers using >, <, or =.

13.78_____ 13.86
 13.78 < 13.86

0.78 _____
 0.78 =

78
100
𝟕𝟖
𝟏𝟎𝟎
439.3 _____ 4.39
 439.3 > 4.39
Compare the following numbers using >, <, or =.

5.08 _____ fifty-eight tenths
 5.08 < 5.8

Thirty-five and 9 thousandths _____ 4 tens
 35.009 < 40
Louis buys 4 chocolates. Each chocolate costs $2.35.
Louis multiplies 4 x 235 and gets 940. place the
decimal to show the cost of the chocolates and explain
your reasoning using words, numbers, and pictures.
He paid $9.40 for the chocolates. The decimal has to go
between the 9 and the 4 because when Louis multiplies 4 and
235 it means 940 hundredths which is 9 wholes and 40
hundredths.
2
4
8
+
0.3
1.2
+
0.05
0.20
8.00
1.20
+0.20
$9.40
The only place that makes
sense is between the 9 and
the 4 because he will pay
between (4 x $2) and (4 x
$3).

Solve 0.9 ÷ 3 using disks on your place value chart.
(9 tenths ÷ 3 = ______)
•
•
•
Show 9 tenths with your disks.
Divide 9 tenths into 3 equal groups.
How many tenths are in each group?

0.9 ÷ 3 = 0.3

Read the number sentence using unit form.
› 9 tenths divided by 3 equals 3 tenths.

How does unit form help us divide?
› When we identify the units, then it’s just like dividing 9 apples into
3 groups. If you know what unit you are sharing, then it’s just like
whole number division. You can just think about the basic fact.
3 groups of _______ = 0.9
 What is the missing number in our equation?

› 3 tenths (0.3)

Solve 0.24 ÷ 4 using disks on your place value
chart. (24 hundredths ÷ 4 = ______)
Ones
•
•
•
•
•
Tenths
Show 24 hundredths with your disks.
Divide 24 hundredths into 4 equal groups.
How many hundredths are in each group?
• There are 6 hundredths in each group.
4 groups of _______ = 0.24
Write a division sentence for this problem.
• 0.24 ÷ 4 = 0.06
Hundredths

Solve 0.032 ÷ 8 using disks on your place value
chart. (32 thousandths ÷ 8 = ______)
Tenths
•
•
•
•
•
Hundredths
Show 32 thousandths with your disks.
Divide 32 thousandths into 8 equal groups.
How many thousandths are in each group?
• There are 4 thousandths in each group.
8 groups of _______ = 0.032
Write a division sentence for this problem.
• 0.032 ÷ 8 = 0.004
Thousandths

Solve 0.032 ÷ 8 using disks on your place value
chart. (32 thousandths ÷ 8 = ______)
Tenths
•
•
•
•
•
Hundredths
Show 32 thousandths with your disks.
Divide 32 thousandths into 8 equal groups.
How many thousandths are in each group?
• There are 4 thousandths in each group.
8 groups of _______ = 0.032
Write a division sentence for this problem.
• 0.032 ÷ 8 = 0.004
Thousandths

1.5 ÷ 5 = ______. Read the equation using unit form.
 Fifteen tenths divided by 5.

What is useful about reading the decimal as 15
tenths?
 When you say the units, it’s like a basic fact.

What is 15 tenths divided by 5?


3 tenths
1.5 ÷ 5 = 0.3

1.05 ÷ 5 = ______. Read the equation using unit form.
 105 hundredths divided by 5.

Is there another way to decompose (name or group) this
quantity?
 1 one and 5 hundredths or 10 tenths and 5 hundredths.

Which way of naming 1.05 is most useful when dividing by 5?
Why? Talk with those at your table then solve the problem.



10 tenths and 5 hundredths because they are both multiples of 5. This
makes it easy to use basic facts and divide mentally. The answer is 2
tenths and 1 hundredth.
105 hundredths is easier because I know 100 is 20 fives so 105 is 1
more, 21. The answer is 21 hundredths.
1.05 ÷ 5 = 0.21

3.015 ÷ 5 = ______. Read the equation using unit form.
 3 and 15 thousandths divided by 5.

Is there another way to decompose (name or group)
this quantity?
 3015 thousandths or 30 tenths and 15 thousandths or
301 hundredths and 5 thousandths.

Which way of naming 3.015 is most useful when dividing
by 5? Why? Talk with those at your table then solve the
problem.

3.015 ÷ 5 = 0.601



4.8 ÷ 6 = 0.8
48 ÷ 6 = 8
What relationship do you notice between these two
equations? How are they alike?
 8 is 10 times greater than 0.8.
 48 is 10 times greater than 4.8.
 The digits in the dividends are the same, the divisor is the
same and the digits in the quotient are the same.
How can 48 ÷ 6 help you with 4.8 ÷ 6? Share your thoughts
with those at your table.
 If you think of the basic fact first, then you can get a quick
answer. Then you just have to remember what units were
really in the problem. This one was really 48 tenths.
 The division is the same; the units are the only difference.
4.08 ÷ 8 = 0.51
408 ÷ 8 = 51
 What relationship do you notice between these
two equations? How are they alike?
 408 is 100 times greater than 4.08.
 51 is 100 times greater than 0.51.
 The digits in the dividends are the same, the
divisor is the same and the digits in the quotient
are the same.


How can 408 ÷ 8 help you with 4.08 ÷ 8? Share your
thoughts with those at your table.
63.021 ÷ 7 = 9.003
63,021 ÷ 7 = 9,003
 What relationship do you notice between these
two equations? How are they alike?
 63,021 is 1000 times greater than 63.021.
 9,003 is 1000 times greater than 9.003.
 The digits in the dividends are the same, the
divisor is the same and the digits in the quotient
are the same.


How can 63,021 ÷ 7 help you with 63.021 ÷ 7? Share
your thoughts with those at your table.

Complete Problem Set in small groups.

Check answers and discuss difficulties.

Handout Exit Ticket and independently.

Handout Homework.