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Module 2 Lesson 11 Fraction Multiplication and the Products of Decimals.notebook
December 18, 2013

Lesson 10 Homework Review

1
Module 2 Lesson 11 Fraction Multiplication and the Products of Decimals.notebook
December 18, 2013

 

MODULE 2 Arithmec Operaons Including 
Division of Fracons
Topic B: Mul‐Digit Decimal Operaons—Adding, 
Subtracng, and Mulplying 
Lesson 11:  Fracon Mulplicaon and the 
Products of Decimals 
Student Outcomes 
§

Students use esmaon and place value to determine the placement of the decimal point in products and to determine that the size of the product is relave to each factor.

§

Students discover and use connecons between fracon mulplicaon and decimal mulplicaon.

§

Students recognize that the sum of the number of decimal digits in the factors yields the decimal digits in the product.

2
Module 2 Lesson 11 Fraction Multiplication and the Products of Decimals.notebook
December 18, 2013

Exploratory Challenge
You will not only solve each problem, but your groups will also need to prove 
to the class that the decimal in the product is located in the correct place.  As a 
group, you will be expected to present your informal proof to the class.
1.  Calculate the product.

Proofs that the decimal is in the right place...
(hint: try fracons or esmaon)

3
Module 2 Lesson 11 Fraction Multiplication and the Products of Decimals.notebook
December 18, 2013

2.  Xavier earns $11.50 per hour working at the nearby grocery store.  Last week, 
Xavier worked for 13.5 hours.  How much money did Xavier earn last week?  
Remember to round to the nearest penny.

4
Module 2 Lesson 11 Fraction Multiplication and the Products of Decimals.notebook
December 18, 2013

    34.62
   x 12.8
443.136

      11.5
   x 13.5
  155.25

Do you see a connecon between the number of decimal digits in the 
factors and the product?
§

ú In the first problem, there are two decimal digits in the first factor 
and one decimal digit in the second factor, which is a total of three 
decimal digits.  The product has three decimal digits.
ú In the second problem, both factors have one decimal digit for a 
total of two decimal digits in the factors.  The product also has two 
decimal digits.

5
Module 2 Lesson 11 Fraction Multiplication and the Products of Decimals.notebook
December 18, 2013

1.  Calculate the product

6
Module 2 Lesson 11 Fraction Multiplication and the Products of Decimals.notebook
December 18, 2013

2.  Kevin spends $11.25 on lunch every week during the school year.  If there are 
35.5 weeks during the school year, how much does Kevin spend on lunch over the 
enre school year?  Remember to round to the nearest penny.

Kevin would spend $399.38 
on lunch over the enre 
school year.

7
Module 2 Lesson 11 Fraction Multiplication and the Products of Decimals.notebook
December 18, 2013

3. Gunnar’s car gets 22.4 miles per gallon, and his gas tank can hold 17.82 
gallons of gas.  How many miles can Gunnar travel if he uses all of the gas in the 
gas tank?

Gunnar can drive 399.168 
miles on an enre tank of 
gas.

8
Module 2 Lesson 11 Fraction Multiplication and the Products of Decimals.notebook
December 18, 2013

4. The principal of East High School wants to buy a new cover for the sand pit 
used in the long jump compeon.  He measured the sand pit and found that 
the length is 29.2 feet and the width is 9.8 feet.  What will the area of the new 
cover be?

The cover should have 
an area of 
286.16 square feet.  

9
Module 2 Lesson 11 Fraction Multiplication and the Products of Decimals.notebook
December 18, 2013

Closing
§ How can we use informaon about the factors to determine the largest place 
value of the product and the number of decimal digits in the product? 

Please take out your exit ticket for Lesson 11, close your
binder, and complete the exit ticket. This will be collected.

10

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Module 2 lesson 11