1. 5th Grade Module 2 – Lesson 1
Lesson 1: I can multiply multi-digit whole numbers and multiples of 10 using place value patterns and the distributive and associative properties.
Associative Property
Distributive Property
5th Grade Module 2 – Lesson 1

2. Get Ready to Say the Product!
3 x 10 = ____ 3 x 100 = ____ 3 x 1,000 = ____ 5 x 1,000 = ____ x 1,000 = ____ 50 x 100 = _____ 0.05 x 100 = _____
30 x 100 = ____
30 x 1,000 = ____
32 x 1,000 = ____
0.32 x 1,000 = ____
52 x 100 = _____
5.2 x 100 = _____
0.45 x 1,000 = _____ 30
3,000
30,000
300
32,000
3,000
320
5,000 5
5,200
5000
520 5
450
5th Grade Module 2 – Lesson 1

3. Get Your White Boards Ready!
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
tenths
hundredths
thousandths 4
4 tens = ____
How many tens do you see?
There are 4 tens.
How many ones? 40
5th Grade Module 2 – Lesson 1

4. Get Your White Boards Ready!
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
tenths
hundredths
thousandths 4
How many ten thousands do you see?
4 ten thousands = ____
40,000
5th Grade Module 2 – Lesson 1

5. Get Your White Boards Ready!
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
tenths
hundredths
thousandths 4
4 hundred thousands = ____
How many hundred thousands do you see?
400,000
5th Grade Module 2 – Lesson 1

6. Get Your White Boards Ready!
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
tenths
hundredths
thousandths 7
How many millions do you see?
7 millions= ____
7,000,000
5th Grade Module 2 – Lesson 1

7. Get Your White Boards Ready!
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
tenths
hundredths
thousandths 2
How many thousands do you see?
2 thousands= ____
2,000
5th Grade Module 2 – Lesson 1

8. Get Your Place Value Chart Ready!
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
tenths
hundredths
thousandths
5 hundreds = ______
Show your answer on your place value chart with digits.
5th Grade Module 2 – Lesson 1

9. Get Your Place Value Chart Ready!
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
tenths
hundredths
thousandths
3 tens = ______
Show your answer on your place Value chart with digits.
5th Grade Module 2 – Lesson 1

10. Show your answer on your place Value chart with digits.
Let’s try a few more!
millions
hundred thousands
ten thousands
thousands
hundreds
tens
ones
tenths
hundredths
thousandths
53 tens = ______
Show your answer on your place Value chart with digits.
6 ten thousands = ______
Show your answer on your place Value chart with digits.
8 hundred thousands 36 ten thousands= ______
Show your answer on your place Value chart with digits.
8 millions 17 hundred thousands= ______
Show your answer on your place Value chart with digits.
36 ten thousands= ______
Show your answer on your place Value chart with digits.
Bonus:
1034 hundred thousands= ______
Show your answer on your place value chart with digits.
5th Grade Module 2 – Lesson 1

11. 5th Grade Module 2 – Lesson 1
We are going to learn how to multiply multi-digit whole numbers using the “Associative Property”
The Associative Property of Multiplication can help you to multiply quickly and correctly.
It means that we can re-group our factors but still get the same product.
(2 x 5) x 3 = 2 x (5 x 3)
10 x 3 = 2 x 15
30 = 30
It is important to remember to multiply what is in the parentheses ( ) first!
5th Grade Module 2 – Lesson 1

12. Concept Development
Get Your Place Value Charts Ready!
Let’s Multiply 4 x 30 using units
To find the product of 4 x 30, we can start by multiplying using whole numbers. Renaming 30 as 3 tens.
Remember we need to state the unit in our product.
4 x 3 tens = __________________
12 tens
Show 12 tens on your place value chart.
What is 12 tens in standard form?
12 tens = 120
So…
4 x 30 = 120
5th Grade Module 2 – Lesson 1

13. Let’s multiply the whole numbers first then the units.
Let’s solve 4 tens x 3 tens
How can the previous problem help us solve this problem?
Let’s multiply the whole numbers first then the units.
4 x 3 = 12
ten x ten = hundred
So,
4 tens x 3 tens = 12 hundreds
12 hundreds = 1,200
We can also record this problem like this …
(4 x 3 ) x 100
10 x 10
12 x 100
= 1200
5th Grade Module 2 – Lesson 1

14. We can express our problem this way.
4 tens x 3 hundreds = ____ How is this problem different than 4 tens x 3 tens?
12,000
We are multiplying tens and hundreds, not tens & tens.
Let’s record and solve:
So,
4 tens x 3 hundreds =
12 thousands Or
12,000
4 tens x 3 hundreds
4 tens is the same as
4 x 10
3 hundreds =
3 x _____
100
We can express our problem this way.
(4 x 10) x (3 x 100) OR
(4 x 3) x (10 x 100)
Is this equation equal to the one above?
What is 4 x 3?
What is 10 x 100? 12 x
1000
What is the product of
12 and 1,000?
12,000
5th Grade Module 2 – Lesson 1

15. Let’s try this one… 4 thousands x 3 tens = ____
120,000
Let’s record and solve:
4 thousands x 3 tens
4 thousands is the same as
_______ x ________
3 tens =
____ x _____
,000
(4 x 1000) x (3 x 10)
4, x 30
120,000
We can express our problem this way. OR
(4 x 3) x (1000 x 10)
What is 4 x 3?
Here is a different way we can set up our problem.
What is 1,000 x 10? 12 x
10,000
What is the product of
12 and 10,000?
120,000
5th Grade Module 2 – Lesson 1

16. 60 x 5 30 x 10 300 Let’s solve this using (6 x 5) x 10 (6 x 10) x 5
Are both these equations equal to 60 x 5
Turn & Talk
(6 x 10) x 5
(6 x 5) x 10
When we change the order of the factors we are using the commutative property.
When we GROUP the factors differently we are using the associative property of multiplication
Let’s solve this using
(6 x 5) x 10
30 x 10
300
5th Grade Module 2 – Lesson 1

17. 5th Grade Module 2 – Lesson 1
60 x 50
Work with your partner to solve this problem and explain how you solved it.
Possible Solution:
(6 x 5) x (10 x 10)
30 x 100
3,000
5th Grade Module 2 – Lesson 1

18. (use any method you want)
Find the product of 451 x 8
(use any method you want)
3,608
What would make the distributive property useful here? Why does it help here, but we didn’t really use it in our other problems?
Distributive Property = (400 x 8) + (50 x 8) + (1 x 8)
3,608
5th Grade Module 2 – Lesson 1

19. 5th Grade Module 2 – Lesson 1
How can 451 x 8 help you solve these? 1). 451 x 80 2). 4,510 x 80 3). 4,510 x 800 Evaluate these problems with your partner.
3,608,000
36,080
360,800
5th Grade Module 2 – Lesson 1

20. Get Ready to Complete the Problem Set on Your Own!
Complete Pages 2.A.9- 2.A.11 Try your Best!
5th Grade Module 1 – Lesson 13

21. 5th Grade Module 1 – Lesson 13
Let’s Debrief
5th Grade Module 1 – Lesson 13

22. 5th Grade Module 1 – Lesson 5
EXIT
TICKET
5th Grade Module 1 – Lesson 5