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
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In your notebooks, solve the following problems. Check your answers with multiplication.
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650 ÷ 16
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40 R 16
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16 x 40 = 640 + 10 = 650
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740 ÷ 32
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23 R 4
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23 x 32 = 736 + 4 = 740
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890 ÷ 27
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32 R 26
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32 x 27 = 864 + 26 = 890
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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 14 1 6 224 -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.
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6,247 ÷ 29
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Can we divide 6 thousands by 29?
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Not without changing them to 60 hundreds
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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.
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60 hundreds ÷ 30 = 2 hundreds Record 2 in the hundreds place of the quotient.
What is 2 hundreds x 29?
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58 How many hundreds are remaining?
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4
29 2 6,247 -5 8 4
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6,247 ÷ 29
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Decompose (regroup those 4 hundreds into 40 tens plus the 4 tens in the whole. How many tens is that?
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44 tens Now we must divide 44 tens by 20. Show me how you estimate 44 ÷ 29.
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30 tens ÷ 30 = 1 ten What is 1 ten x 29?
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29 tens 44 tens – 29 tens is a remainder of?
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15 tens Can we divide again or must we decompose?
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We need to decompose 15 tens into
29
150 ones, plus the 7 ones in our whole.
2 -5 8 1 6,247 4 4 2 9 1 5
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6,247 ÷ 29
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Now we have 157 ones divided by 29. How do we estimate 157 ÷ 29?
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150 ÷ 30 = 5 What is 5 x 29?
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145 How many are remaining?
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12 What does the 12 represent?
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How many are left over after dividing 6,247 into 29 groups.
Check your answer using multiplication.
What is 215 x 29?
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6,235 6,235 + 12= ?
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6,247
29 2 -5 8 2 9 1 6,247 4 4 5 1 5 7 1 4 5
2 1 5 x 2 9 1 9 3 5 + 4 3 0 0 6 2 3 5 + 1 2 6 2 4 7
1 2
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6,247 ÷ 29
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4,289 ÷ 52
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Complete this problem in your math journal. Begin by listing your multiples for 52.
-4 16 8 52 4,28 9 12 9 - 104 25 2 Check your answer by R 25 8 2 x 5 2 1 6 4 + 4, 1 0 0 4, 2 6 4 + 2 5 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 428? Use your chart to find the closest multiple without going over.
How many 52s are in 129? Use your chart to find the closest multiple without going over.
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4,289 ÷ 52
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You can also think about solving this problem by first estimating, solving, and checking with multiplication.
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6,649 ÷ 63
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Complete this problem in your math journal. Begin by estimating or listing your multiples for 63.
1 0 63 6,64 9 -6 3 3 4 9 - 315 34 5 Check your answer by R 34 1 0 5 x 6 3 3 1 5 + 6, 3 0 0 6, 6 1 5 + 3 4 6, 6 4 9 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 66? Use your chart to find the closest multiple without going over.
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.
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6,649 ÷ 63
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You can also think about solving this problem by first estimating, solving, and checking with multiplication.
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3,164 ÷ 45
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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 9,152 ÷ 29
3,164 ÷ 45
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 2,409 ÷ 19
2,625 ÷ 32
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.