Grade 5: Module 1 Lesson 4
Place Value Chart
1M
100
TH
10
TH
1
TH

Hund
Tens

One

1/10
1/100
1/1000

Say the value as a decimal, write the number on
Your personal boards, and multiply it by ten.
Place Value Chart
1M
100
TH
10
TH
1
TH

Hund
3
Tens
One


2
4
32.4 x 10 = 324
1/10

1/100
1/1000
Place Value Chart
1M
100
TH
10
TH
1
TH

Hund
Tens

One

1/10
1/100
1/1000

Say the value as a decimal, write the number on
Your personal boards, and divide it by ten.
Place Value Chart
1M
100
TH
10
TH
1
TH

Hund
Tens

One
1/10


3
2
32.4 ÷ 10 = 3.24
1/100
4
1/1000
32.4 x 100 =
32.4 ÷ 100 =
837 ÷ 1000 =
0.418 x 1000 =
Answers
32.4 x 100 = 3240
32.4 ÷ 100 = 0.324
837 ÷ 1000 =0.837
0.418 x 1000 = 418
Write the Unit as a Decimal
What is the correct mathematical way of saying
0.9?
What is the correct mathematical way of saying
10 tenths?
What is the correct mathematical way of saying
20 tenths?
Write the Unit as a Decimal
What is the correct mathematical way of saying
10 tenths?
What is the correct mathematical way of saying
70 tenths?
What is the correct mathematical way of saying
.09?
Write the Unit as a Decimal
What is the correct mathematical way of saying
.10?
What is the correct mathematical way of saying
.11?
What is the correct mathematical way of saying
.17?
Write the Unit as a Decimal
What is the correct mathematical way of saying
.57?
What is the correct mathematical way of saying
.42?
What is the correct mathematical way of saying
.009?
Write the Unit as a Decimal
What is the correct mathematical way of saying
.010?
What is the correct mathematical way of saying
.020?
What is the correct mathematical way of saying
.060?
Write the Unit as a Decimal
What is the correct mathematical way of saying
.064?
What is the correct mathematical way of saying
.083?
Write in Exponential Form
100 = 10? Write 100 in exponential form.
1,000 = 10? Write 1000 in exponential form.
10,000 = 10? Write 10,000 in exponential form.
1,000,000 = 10? Write 1,000,000 in exponential
form.
Convert Units
Use Personal white boards
1 km = ___ m Fill in the missing number.
1 kg = ____ g Fill in the missing number.
1 liter = ____ ml Fill in the missing number.
1 m = ____ cm Fill in the missing number.
Application
Mr. Brown wants to withdraw $1,000 from his
bank and in ten dollar bills. How many ten
dollar bills should he receive?
Concept Development
Draw a line 2 meters long.
With your partner, determine how many
centimeters equal 2 meters.
Concept Development
How is it that same line can measure both 2
meters and 200 centimeters?
Discuss with a partner how we convert from 2
meters to 200 centimeters?
Why didn’t the length change? Discuss that
with your partner.
Concept Development
Draw a line 2 meters long.
With your partner, determine how many
millimeters equal 2 meters.
Concept Development
How is it that same line can measure both 2
meters and 2000 millimeters?
Discuss with a partner how we convert from 2
meters to 2000 millimeters?
Why didn’t the length change? Discuss that
with your partner.
Concept Development
Can we represent the conversion from meters to
centimeters or meters to millimeters with
exponents? Discuss this with your partner.
Concept Development
Draw a line 1 meter 37 centimeters long.
What fraction of a whole meter is 37 meters?
Concept Development
37 centimeters = 37 hundredths of a meter or
0.37 meters.
Write 1 and 37 hundredths as a decimal
fraction.
Concept Development
With you partner, determine how many
centimeters is equal to 1.37 meters both by
looking at your meter strip and line and writing
an equation using an exponent.
What is the equivalent measure in centimeters?
Concept Development
1.37 meters = 137 centimeters
Show the conversion using an equation with an
exponent.
Concept Development
1.37 meters = 1.37 x 102 = 137 centimeters
What is the conversion factor?
Concept Development
The conversion factor is 102 or 100.
Concept Development
A cat weighs 4.5 kilograms. Convert its weight to
grams.
A dog weighs 6700 grams. Convert its weight to
kilograms.
Work with a partner to find the cat’s weight in
grams and the dog’s weight in kilograms. Explain
your reasoning with an equation using an exponent
for each problem.
What is the conversion factor for both problems?
Problem 4
• The baker uses 0.6 liter of vegetable oil to
bake brownies. How many milliliters of
vegetable oil did he use? He is asked to make
100 batches for a customer. How many liters
of oil will he need?
Problem 4
After gym class, Mei Ling drank 764 milliliters of
water. How many liters of water did she drink?
Problem Set
Do your personal best to complete the problem
set within the next 10 minutes.
Student Debrief
Lesson Objective: Use exponents to denote
power of 10 and with application to metric
conversions.
Exit Ticket
Convert:
a. 2 meters to centimeters
2m x ____ = ______cm
b. 40 milliliters to liters
40 mi ÷ _____ = _____ l
Exit Ticket
Read each aloud as you write the equivalent
measures.
a. 4.37 l = _______ l _________ml
b. 81.62 kg = ________kg ________ g