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Topic E m ultiplying decimals. STANDARD - 5.NBT.2, 5.NBT.3, 5.NBT.7. Grade 5 Module 1 Lesson 11. Objective:

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Topic E

multiplying decimals

STANDARD - 5.NBT.2, 5.NBT.3, 5.NBT.7


Grade 5

Module 1 Lesson 11

Objective:

Multiply a decimal fraction by single-digit whole 
numbers, relate to a written method through 
application of the area and place value 
understanding, and explain the reasoning used.


MATERIALS NEEDED

FOR THIS LESSON

Student

Student Pages

Problem Set

Exit Ticket

Homework

Place Value Chart

Personal White Boards

Teacher

Teacher Pages


Fluency Practice(10 minutes)


Take Out the Unit

4 minutes

5.NBT.1

1.234 = _________ thousandths

Say the number: 65.247

76.358 = 7 tens _____ thousandths


76.358 = 736 tenths _________ thousandths

76.358 = _________ hundredths 8 thousandths


Add and Subtract Decimals

6 minutes

5.NBT.7

7258 thousandths + 1 thousandth =

7 ones 258 thousandths + 3 hundredths =

7258 thousandths + 1 thousandth =


7 ones 258 thousandths + 4 tenths =

6 ones 435 thousandths + 4 hundredth =


2 ones 37 thousandths + 5 tenths =

6 ones 35 hundredths + 7 thousandths =


4 ones 8 hundredths - 2 ones =

___ ones ___ hundredths

9 tenths - 7 thousandths - 4 thousandths =


4 ones 582 thousandths - 3 hundredths =

9 ones 708 thousandths - 4 tenths =



Application Problem (5 minutes)

After school, Marcus ran 3.2km and Cindy ran 
1.95km. Who ran farther? How much farther?



Problem 1

Multiplying decimals

3 x 0.2

ones

tenths


Problem 2

Multiplying decimals

3 x 0.3

ones

tenths


Problem 3

Multiplying decimals

4 x 0.3

ones

tenths


Problem 4

Multiplying decimals

2 x 0.43

ones

tenths

hundredths

4 tenths + 3 hundredths

2

0.8 + 0.06 = 0.86


Problem 5

Multiplying decimals

ones

tenths

hundredths

thousandths

2 x 0.423

4 tenths + 2 hundredths + 3 thousandths

4 hundredths

2

8 tenths

6 thousandths

1.2 + 0.04 + 0.006 = 0.846


Problem 6

Multiplying decimals

ones

tenths

hundredths

thousandths

4 x 0.423

4 tenths + 2 hundredths + 3 thousandths

8 hundredths

4

16 tenths

12 thousandths

1.6 + 0.08 + 0.012 = 1.692


Problem 7

Multiplying decimals

6 x 1.21

1 one + 2 tenths + 1 hundredth

6

6 ones

6 hundredths

12 tenths

6 + 1.2 + 0.06 = 7.26


Problem 7

Multiplying decimals

7 x 2.41

2 one + 4 tenths + 1 hundredth

7

14 ones

7 hundredths

28 tenths

14 + 2.8 + 0.07 = 16.87


Problem 7

Multiplying decimals

8 x 2.34

2 one + 3 tenths + 4 hundredth

8

16 ones

32 hundredths

24 tenths

16 + 2.4 + 0.32 = 18.72


Problem Set (10 minutes)

Do Your Personal Best

(Complete independently!)


Student Debrief (10 minutes)

Compare #1c and 1d.

#3 students share work and articulate which 
units are being multiplied and composed 
into larger ones.


EXIT TICKET (3 minutes)

Complete the exit ticket and turn in...



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