Transcript File

6
tens ÷ 3 =
› Say the division sentence in unit form and
state the quotient.
 6 tens ÷ 3 = 2 tens
› Say the division sentence in decimal form
and state the quotient.
 60 ÷ 3 = 20

6 tenths ÷ 3 =
› Say the division sentence in unit form and state the quotient.
 6 tenths ÷ 3 = 2 tenths
› Say the division sentence in decimal form and state the
quotient.
 0.6 ÷ 3 = 0.2

6 hundredths ÷ 3 =
› Say the division sentence in unit form and state the quotient.
 6 hundredths ÷ 3 = 2 hundredths
› Say the division sentence in decimal form and state the
quotient.
 0.06 ÷ 3 = 0.02

9 thousands ÷ 3 =
› Say the division sentence in unit form and state the quotient.
 9 thousands ÷ 3 = 3 thousands
› Say the division sentence in decimal form and state the
quotient.
 9,000 ÷ 3 = 3,000

9 hundreds ÷ 3 =
› Say the division sentence in unit form and state the quotient.
 9 hundreds ÷ 3 = 3 hundreds
› Say the division sentence in decimal form and state the
quotient.
 900 ÷ 3 = 300

9 hundredths ÷ 3 =
› Say the division sentence in unit form and state the quotient.
 9 hundredths ÷ 3 = 3 hundredths
› Say the division sentence in decimal form and state the
quotient.
 0.09 ÷ 3 = 0.03

9 tenths ÷ 3 =
› Say the division sentence in unit form and state the quotient.
 9 tenths ÷ 3 = 3 tenths
› Say the division sentence in decimal form and state the
quotient.
 0.9 ÷ 3 = 0.3

State the following numbers as decimals.
› 1 tenth
 0.1
› 2 tenths
 0.2
› 3 tenths
 0.3
› 8 tenths
 0.8
› 9 tenths
 0.9
• State the following numbers as decimals.
› 10 tenths
›
›
›
›
›
›
›
 1
11 tenths
 1.1
19 tenths
 1.9
20 tenths
 2
30 tenths
 3
80 tenths
 8
90 tenths
 9
100 tenths
 10
› 200 tenths
›
›
›
›
›
›
›
 20
1 hundredth
 .01
2 hundredths
 .02
3 hundredths
 .03
8 hundredths
 .08
9 hundredths
 .09
10 hundredths
 .10
20 hundredths
 .20
› 3 hundredths
›
›
›
›
›
›
 .30
90 hundredths
 .90
100 hundredths
 1
200 hundredths
 2
900 hundredths
 9
1,000 hundredths
 10
2,000 hundredths
 20
• In your notebooks, solve the following problems. Check your
answers with multiplication.
• 650 ÷ 16
• 40 R 16
• 16 x 40 = 640 + 10 = 650
• 740 ÷ 32
• 23 R 4
• 23 x 32 = 736 + 4 = 740
• 890 ÷ 27
• 32 R 26
• 32 x 27 = 864 + 26 = 890
• The rectangular room measures 224 square feet. One side of
the room is 14 feet long. What is the perimeter of the room?
?
224 ft.²
14 feet
16
14
224
-14
84
84
0
Multiples of 14
14 -- 1
28 -- 2
42 -- 3
56 -- 4
70 -- 5
84 -- 6
98 -- 7
(16 x 2) + (14 x 2) =
32 + 28 =
60 feet
The perimeter of the
room is 60 feet.
• 6,247 ÷ 29
• Can we divide 6 thousands by 29?
• Not without changing them to 60 hundreds
• We will think about 62 hundreds, which we can divide into 29 groups. Divide
62 hundreds by 29. Show how to estimate 62 hundreds divided by 29.
• 60 hundreds ÷ 30 = 2 hundreds
• Record 2 in the hundreds place of the quotient.
• What is 2 hundreds x 29?
• 58
• How many hundreds are remaining?
2
• 4
29
6,247
-5 8
4
• 6,247 ÷ 29
• Decompose (regroup those 4 hundreds into 40 tens plus the 4 tens in the
whole. How many tens is that?
• 44 tens
• Now we must divide 44 tens by 20. Show me how you estimate 44 ÷ 29.
• 30 tens ÷ 30 = 1 ten
• What is 1 ten x 29?
• 29 tens
• 44 tens – 29 tens is a remainder of?
21
• 15 tens
29
6,247
• Can we divide again or must we
-5 8
decompose?
• We need to decompose 15 tens into
44
150 ones, plus the 7 ones in our whole.
29
15
• 6,247 ÷ 29
• Now we have 157 ones divided by 29. How do we estimate 157 ÷ 29?
• 150 ÷ 30 = 5
• What is 5 x 29?
• 145
• How many are remaining?
• 12
2 15
• What does the 12 represent?
215
x
29
• How many are left over after
29
6,247
19 3 5
dividing 6,247 into 29 groups.
-5 8
+ 4 3 0 0
• Check your answer using multiplication.
6 2 3 5
• What is 215 x 29?
44
+
1 2
• 6,235
29
6 2 4 7
• 6,235 + 12= ?
157
• 6,247
145
12
• 6,247 ÷ 29
• 4,289 ÷ 52
• Complete this problem in your math journal. Begin by
listing your multiples for 52.
Check your answer by
multiplying.
8 2 R 25
52 4,28 9
-4 16
12 9
- 104
25
How many 52s are in 428? Use your chart to
find the closest multiple without going over.
82
x 52
164
+ 4, 1 0 0
4, 2 6 4
+ 25
4, 2 8 9
Multiples of 52
52 -- 1
104 -- 2
156 -- 3
208 -- 4
260 -- 5
312 -- 6
364 -- 7
416 -- 8
468 -- 9
How many 52s are in 129? Use your chart to
find the closest multiple without going over.
• 4,289 ÷ 52
• You can also think about solving this problem by first estimating, solving,
and checking with multiplication.
• 6,649 ÷ 63
• Complete this problem in your math journal. Begin by
estimating or listing your multiples for 63.
63
Check your answer by
multiplying.
105
x 63
1 0 5 R 34
315
6,64 9
+ 6, 3 0 0
6, 6 1 5
-6 3
+ 34
34 9
6, 6 4 9
- 315
34
How many 63s are in 66? Use your chart to
find the closest multiple without going over.
Multiples of 63
63 -- 1
126 -- 2
189 -- 3
252 -- 4
315 -- 5
378 -- 6
441 -- 7
504 -- 8
567 -- 9
How many 63s are in 34? Use your chart to
find the closest multiple without going over.
How many 63s are in 349? Use your chart to find the closest multiple without going over.
• 6,649 ÷ 63
• You can also think about solving this problem by first estimating, solving,
and checking with multiplication.
• 3,164 ÷ 45
• Solve this problem independently. Do all three steps independently.
When you are finished, check your answers with someone at your table.
45
3, 1 6 4
Debrief
Problem Set
Homework
Exit Ticket
Divide, then check using multiplication.

4,859 ÷ 23

4,368 ÷ 52

7,242 ÷ 34

3,164 ÷ 45

9,152 ÷ 29

4,424 ÷ 63

Mr. Riley baked 1,692 chocolate cookies. He sold them in
boxes of 36 cookies each. How much money did he collect if
he sold them all at $8 per box?

1,092 flowers are arranged into 26 vases, with the same
number of flowers in each vase. How many flowers would be
needed to fill 130 such vases?

The elephant’s water tank holds 2,560 gallons of water.
After two weeks, the zookeeper measures and finds that the
tank only has 1,934 gallons of water left. If the elephant
drinks the same amount of water each day, how many days
will a full tank of water last?
Divide, then check using multiplication.

9,962 ÷ 41

1,495 ÷ 45

6,691 ÷ 28

2,625 ÷ 32

2,409 ÷ 19

5,821 ÷ 62

A political gathering in South America held 788 people. Each of
South America’s 14 countries were equally represented. The
remaining people were guests from the United States. How many
guests were from the United States?

A chocolate company is packaging 32 ounces of caramels into
reusable, plastic cups. When a shipping box is filled with these
caramel packages, it weighs 49 pounds 8 ounces.
› How many caramel filled cups are in the box?
› Use your remainder to find the weight of each plastic cup.