2 Lesson 27 Divide decimal dividends by two digit divisors estimating quotients reasoning about the placement of the decimal point and making connections to a written method Divide by Multiples of 10 ID: 359844
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Slide1
Engage NY Math Module 2
Lesson 27:
Divide decimal dividends by two digit divisors, estimating quotients, reasoning about the placement of the decimal point, and making connections to a written method.Slide2
Divide by Multiples of 10
1.2
÷
6
Solve this equation expressing the whole in tenths.
12 tenths ÷
6
=
2
tenths
1.2 ÷
6
=
0.2
1.2 ÷
60
= ?
Write 12 tenths ÷
60
as a three-step division sentence taking out the ten.
(1.2 ÷ 10) ÷
6
= 0.12 ÷
6
=
0.02 Slide3
Divide by Multiples of 10
8.4
÷ 4
Solve this equation expressing the whole in tenths.
84
tenths ÷ 4
=
21
tenths
8.4
÷ 4
=
2.1
8.4
÷ 4
0
= ?
Write
84
tenths ÷ 4
0
as a three-step division sentence taking out the ten.
(8.4
÷ 10) ÷ 4
=
0.84
÷
6
=
0.21 Slide4
Divide by Multiples of 10
6
÷
3
Solve this equation expressing the whole in ones.
6
ones ÷
3
=
2
ones
6
÷
3
=
2
6
÷
60
= ?
Write
6
ones ÷
60
as a three-step division sentence taking out the ten.
(6
÷ 10) ÷
6
=
0.6
÷
6
=
0.1 Slide5
Divide by Multiples of 10
0.32
÷
4
Solve this equation expressing the whole in hundredths.
32
hundredths ÷
4
=
8
hundredths
0.32
÷
4
=
0.08
0.32
÷
40
= ?
Write
32
hundredths ÷
40
as a three-step division sentence taking out the ten.
(
0.32
÷ 10) ÷
4
=
0.032
÷
4
=
0.008 Slide6
Unit Conversions
1 L = ______ mL
How many milliliters are in 1 L?
1,000 mL
1
ft
= ______
in
How many
inches
are in 1 ft?12 in1 kg = ______ gHow many grams are in 1 kilogram?1,000 g1 lb = ______ ozHow many ounces are in 1 lb?16 oz
Complete the following conversions
.Slide7
Unit Conversions
0.732 L = ______ mL
What is our conversion factor?
1 L = 1,000 mL
Using your conversion factor, solve to show how many mL are in 0.732 L.
0.732 x 1,000 = 732 mL
0.037
L = ______ mL
What is our conversion factor?
1 L = 1,000 mL
Using your conversion factor, solve to show how many mL are in
0.037 L.0.037 x 1,000 = 37 mLComplete the following conversions.Slide8
Unit Conversions
0.537 kg = ______ g
What is our conversion factor?
1 kg = 1,000 g
Using your conversion factor, solve to show how many g are in 0.537 kg.
0.537 x 1,000 = 537 g
0.04
kg = ______ g
What is our conversion factor?
1 kg = 1,000 g
Using your conversion factor, solve to show how many g are in
0.04 kg.0.04 x 1,000 = 40 gComplete the following conversions.Slide9
Divide by Two-Digit Numbers
In your notebooks, solve two of the following problems using the standard algorithm.
83.03
÷
23
3.61
6.76
÷
13
0.52
12.43
÷ 111.1365.94 ÷ 213.14Slide10
Application Problem
Michael has 567 pennies, Jorge has 464, and Jamie has 661. If the pennies are shared equally by the 3 boys and 33 of their classmates, how much money will each classmate receive? Express your final answer in dollars.
Multiples of 36
36 -- 1
72 -- 2
108 -- 3
144 -- 4
180 -- 5
216 -- 6
252 – 7
288
– 8567464+ 6611,69247 pennies = 0.47 of a dollar = $0.47Each classmate will receive $0.47 dollars.361, 6 9 2-14 4 2 5 2 4
2 5 2
0
7Slide11
Concept Development – Problem 1
In a 77 kilometer relay race, each of 22 team members run an equal distance. How many kilometers does each team member run?
Write a division equation to solve for the number of kilometers run by each team member.
77 ÷ 22
Let’s solve this together using our multiples.
22
7 7
3
-6 6
1 1
Multiples of 22
22 – 144 – 266 – 388 – 4110 – 5. 0
0
. 5
- 1 1 0
0
Each team member will run 3.5 km during the race.Slide12
Concept Development – Problem 1This problem could also be solved using estimation to give us a number to start the standard algorithm.Slide13
Concept Development – Problem 2
A vial contains 14.7 mL of serum that is then split equally into 21 tiny containers. How much serum is in each new container?
In your journals, write a division equation that matches this story problem.
14.7
÷
21
Before solving this problem, let’s reason about what our quotient might be. Will there be more than 1 mL in each container or less than 1 mL? Justify your thinking.
It will have to be less than 1 mL because there are more containers than mL of serum. To have 1 mL in each container, there would have to be 21 mL of serum and we only have about 15 mL of serum.
21
1 4 . 7
0
-1 4 7 0 . 7Now solve this problem in your journal.
0.7 ml of serum is in each small container.Slide14
Concept Development – Problem 2What is the quotient?
0.7
Is our actual quotient reasonable?
Does the placement of the decimal make sense?
We said we should have less then 1 mL in each vial, and we did.Slide15
Concept Development – Problem 3
The surface area of a rectangular piece of construction paper is 140.25 square inches. If the paper’s length is 17 inches, what is the width?
In your journals, write a division equation
you would use to solve this problem.
140.25
÷
17
Before solving this problem, let’s reason about what our quotient might be.
Tell me how to
estimate 140.25 ÷
17.
140.25 ÷ 17 ≈ 140 ÷ 20 = 7171 4 0 . 2 58 . 2 5-1 3 6
4 2
Now solve this problem in your
math journal
.
The other side of the paper was 8.25 inches long.
Multiples of 17
17 – 1
34 – 2
51 – 3
68 – 4
85 – 5
102 – 6
119 – 7
136 – 8
-
3
4
8
5
-
8
5 Slide16
Concept Development – Problem 3Slide17
End of Lesson Activities
Debrief
Problem Set
Homework
Exit TicketSlide18
Exit TicketSlide19
Problem Set
5.6
÷
16
21
÷
14
24
÷
48
36
÷ 2481 ÷ 5415.6 ÷ 155.4 ÷ 1516.12 ÷ 522.8 ÷ 161. Divide, then check using multiplication.Slide20
Problem Set
30.48
kg of beef was placed into 24 packages of equal weight. What is the weight of one package of
beef?
What
is the length of a rectangle whose width is 17 inches and whose area is 582.25
in
2
?
A
soccer coach spent $162 dollars on 24 pairs of socks for his players. How much did five pairs of socks
cost?A craft club makes 95 identical paperweights to sell. They collect $230.85 from selling all the paperweights. If the profit the club collects on each paperweight is two times as much as the cost to make each one, what does it cost the club to make each paperweight?Slide21
Homework Task
7
÷
28
51
÷
25
6.5
÷
13
132.16
÷ 16561.68 ÷ 28604.8 ÷ 361. Divide and check.Slide22
Homework Task
In
a science class, students water a plant with the same amount of water each day for 28 consecutive days. If the students use a total of 23.8 liters of water over the 28 days, how many liters of water did they use each day? How many milliliters did they use each
day?
A
seamstress has a piece of cloth that is 3 yards long. She cuts it into shorter lengths of 16 inches each. How many of the shorter pieces can she
cut?
Jenny
filled 12 pitchers with an equal amount of lemonade in each. The total amount of lemonade in the 12 pitchers was 41.4 liters. How much lemonade would be in 7 pitchers?