1. Decimal Fractions and Place Value Patterns
Topic B
Decimal Fractions and Place Value Patterns
STANDARD - 5.NBT.3

2. Grade 5
Module 1 Lesson 5
Objective:
Name decimal fractions in expanded, 
unit and word form by applying place 
value reasoning.

3. MATERIALS NEEDED FOR THIS LESSON Student Student Pages Teacher
Place Value Chart
Personal White Boards
Sprint A & B
Problem Set
Exit Ticket
Homework
Teacher
Teacher Pages

4. Fluency Practice (12 minutes)

5. Do as many problems as you can.
Multiply and Divide by 10, 100, 1000
4.NBT.1
8 minutes
SPRINT A
1 minutes
Do as many problems as you can.
Do your personal best.
Take your mark!
Get set!
THINK!

6. Do as many problems as you can.
Multiply and Divide by 10, 100, 1000
4.NBT.1
SPRINT B
1 minutes
Do as many problems as you can.
Do your personal best.
Take your mark!
Get set!
THINK!

7. Write 54 tenths as a decimal
Multiply and Divide by Exponents
2 minutes
5.NBT.2
Write 54 tenths as a decimal

8. Write 0.6 x 102

9. Write

10. Write x 103

11. Write

12. 3 m = _____ cm Show on your place value chart.
Multiplying Metric Units
2 minutes
5.MD.1
3 m = _____ cm
Show on your place value chart.
How many centimeters are in 1 meter?
How many centimeters in 3 meters?

13. 7 kg = _____ g
7000 ml = _____ l
7500 m = _____ km _____ m
8350 g = _____ kg _____ g

14. Application Problem (8 minutes)
Jordan measures a desk at 200 cm. James 
measures the same desk in milliliters, and Amy 
measures the same desk in meters. What is 
James measurement in milliliters? What is 
Amy's measurement in meters? Show your 
thinking using a place value mat or equation 
using place value mat or an equation with 
exponents.

15. Concept Development (30 minutes)

16. three thousand forty seven
Opener
three thousand forty seven
standard form: _____________________

17. one thousandths Problem 1 one thousandth = 0.001 = 1 1000
Represent in standard and unit form.
one thousandths
one thousandth = = 1
1000
1 = 1 x 1
1000 
0.001 = 1 x 0.001
1 thousandths
notes
Write in digits on place value chart.
standard form: ________________________
as a fraction: ________________________
expanded form:
using fractions ________________________
using decimals ________________________

18. If you had 3 copies of 1 thousandths, how many thousandths is that?
three thousandth = = 3
1000
3 = 3 x
1000 
0.003 = 3 x 0.001
3 thousandths
notes
Write in digits on place value chart.
standard form: ________________________
as a fraction: ________________________
expanded form:
using fractions ________________________
using decimals ________________________

19. thirteen thousandths Problem 2 thirteen thousandth = 0.013 = 13 1000
represent a number thousandths in standard form and unit form
thirteen thousandth = = 13
1000
13 =
1000 
0.013 x x 0.001
1 hundredth 3 thousandths
13 thousandths
notes
thirteen thousandths
standard form: ________________________
expanded form:
using fractions ________________________
using decimals ________________________

20. are these the same? 2 tenths 73 thousandths
two hundred seventy three thousandths
standard form: ________________________
expanded form:
using fractions ________________________
using decimals ________________________
are these the same?
2 tenths 73 thousandths
273 thousandths
27 hundredths 3 thousandths
???

21. one and six hundred eight thousandths
standard form: ________________________
expanded form:
using fractions ________________________
using decimals ________________________

22. 25.413 Problem 3 25 = 25.413 word form:__________________________
= 2 x x x x x
413
1000 1 10
100 =
Twenty-five and four hundred thirteen thousandths
= 2 x x x x x 0.001
2 tens 5 ones 4 tenths 1 hundredths 3 thousandths
25 ones 413 thousandths
notes
represent a number in word, expanded and unit form
25.413
word form:__________________________
decimal unit form: ____________________
other unit forms: _____________________

23. 12.04 word form:__________________________
decimal unit form: ____________________
other unit forms: _____________________

24. 9.495 word form:__________________________
decimal unit form: ____________________
other unit forms: _____________________

25. four hundred four thousandths four hundred and four thousandths
Problem 4
write the standard, expanded and unit forms
four hundred four thousandths = = 0.404
404
1000
= 4 x x 1 10
0.404 = 4 x x 0.001
4 tenths 4 thousandths
notes
write the expanded and unit forms 
of each number
four hundred four thousandths
four hundred and four thousandths
four hundred and four thousandths = 400 4
1000 =
= 4 x x 1
= 4 x x 0.001
notes 2

26. two hundred two thousandths nine hundred and nine tenths
write the expanded and unit forms 
of each number
two hundred two thousandths
nine hundred and nine tenths

27. Problem Set (10 minutes) Do Your Personal Best
(Complete independently!)

28. Student Debrief (10 minutes)
When might expanded form be useful as a 
calculation tool?
Which tasks in #1 are alike? Why?
How is expanded form related to the standard 
form of a number?
What is the purpose of writing a decimal 
number in expanded form using fractions? 
What was the objective of our lesson today?
Compare your answers to #1 c and d. What is 
the importance of the word and when naming 
decimals in standard form?

29. EXIT TICKET (3 minutes)
Complete the exit ticket and turn in...

30. HOMEWORK