Mastering Multiplication by Multiples of 10

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Multiplying by Multiples
of 10
Lesson 5-6
CCSS 3.NBT.3
Objective
I can use basic multiplication facts
and number patterns to multiply by
multiples of 10.
Set the Purpose
You have already learned basic
multiplication facts.  Today, you
will use those basic facts and
patterns with zero to multiply
by multiples of 10.
Connect
 
What are some things that might
come in groups of tens?  What
might be an easy way to count
things that are in groups of ten?
  Pose the Problem - Partners
Find the products by using repeated
addition.
What patterns do you see in the products?
5 x 30 =
2 x 40 =
9 x 20 =
Demonstrate
 
What repeated addition sentence
does 
5 x 30 
represent?
 
3
0
 + 
3
0
 + 
3
0
 + 
3
0
 + 
3
0
 = 
15
0
Multiplying
 
 
Find the basic fact in each sentence. For
example, in 20 X 6, the basic fact is 2 X 6.
 
What is the basic fact in 50 X 4?
 
 Next count the number of zeros in the
multiple of 10. How many zeros are there
in 50? Write that many zeros after your
basic fact.
 
5
0 X 
4
 = 
20
0
Whole Class Discussion
 
Underline the basic fact in each factor and the product of
that basic fact  in each sentence.
2
 x 
4
0
 
  
4
0
 + 
4
0
 = 
8
0
6
 x 
2
0
  
2
0
 + 
2
0
 + 
2
0
 + 
2
0
 + 
2
0
 + 
2
0 
= 
12
0
 
What patterns do you see in these multiplication sentences?
There is a basic fact in each sentence.  There is also a zero
written after each product in the fact.
What rule can we make for multiplying a single-digit
number by a multiple of 10?
Find the product of the basic fact and write a zero after
that product.
Practice!
 
 30 X 9
 60 X 5
 20 X 8
 5 X 90
 80 X 9
Try It
A tiger shark swims 69 miles per hour for 10
hours. A great white shark swims 37 miles per
hour for 10 hours. Which shark swam more miles?
By how many more miles did the shark swim?
Writing to Explain
Use a basic multiplication fact to
write a multiplication problem that
gives 
180
 as the product.
Explain your thinking.
   Writing to Explain - Rubric
1 Point - Weak
2
 x 
9
0
 = 
18
0
(The answer is correct, but no explanation is
given.)
2 Points
2
 x 
9
0
 = 
18
0
The basic fact is 2 x 9.
Add one 0, so the answer is 180.
(The answer is correct and the explanation has
some good ideas)
3 Points – Strong!
2
 x 
9
0
 = 
18
0
The basic fact is 2 x 9 = 18
The product of 2 x 90 = 180
There is one 0 in 180, so one of the
factors is a multiple of 10,
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Delve into the world of multiplying by multiples of 10 with this comprehensive lesson. Learn how to utilize basic multiplication facts and number patterns to solve problems efficiently. Practice using repeated addition, identifying basic facts, adding zeros, and understanding the properties of multiplying single-digit numbers by multiples of 10. Enhance your skills through engaging activities and real-world scenarios involving sharks swimming at different speeds.

  • Multiplication mastery
  • Number patterns
  • Basic facts
  • Repeated addition
  • Real-world applications

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Presentation Transcript


  1. Multiplying by Multiples of 10 Lesson 5-6 CCSS 3.NBT.3

  2. Objective I can use basic multiplication facts and number patterns to multiply by multiples of 10.

  3. Set the Purpose You have already learned basic multiplication facts. Today, you will use those basic facts and patterns with zero to multiply by multiples of 10.

  4. Connect What are some things that might come in groups of tens? What might be an easy way to count things that are in groups of ten?

  5. Pose the Problem - Partners Find the products by using repeated addition. What patterns do you see in the products? 5 x 30 = 2 x 40 = 9 x 20 =

  6. Demonstrate What repeated addition sentence does 5 x 30 represent? 30 + 30 + 30 + 30 + 30 = 150

  7. Multiplying Find the basic fact in each sentence. For example, in 20 X 6, the basic fact is 2 X 6. What is the basic fact in 50 X 4? Next count the number of zeros in the multiple of 10. How many zeros are there in 50? Write that many zeros after your basic fact. 50 X 4 = 200

  8. Whole Class Discussion Underline the basic fact in each factor and the product of that basic fact in each sentence. 2 x 40 40 + 40 = 80 6 x 20 20 + 20 + 20 + 20 + 20 + 20 = 120 What patterns do you see in these multiplication sentences? There is a basic fact in each sentence. There is also a zero written after each product in the fact. What rule can we make for multiplying a single-digit number by a multiple of 10? Find the product of the basic fact and write a zero after that product.

  9. Practice! 30 X 9 60 X 5 20 X 8 5 X 90 80 X 9

  10. Try It A tiger shark swims 69 miles per hour for 10 hours. A great white shark swims 37 miles per hour for 10 hours. Which shark swam more miles? By how many more miles did the shark swim?

  11. Writing to Explain Use a basic multiplication fact to write a multiplication problem that gives 180 as the product. Explain your thinking.

  12. Writing to Explain - Rubric

  13. 1 Point - Weak 2 x 90 = 180 (The answer is correct, but no explanation is given.)

  14. 2 Points 2 x 90 = 180 The basic fact is 2 x 9. Add one 0, so the answer is 180. (The answer is correct and the explanation has some good ideas)

  15. 3 Points Strong! 2 x 90 = 180 The basic fact is 2 x 9 = 18 The product of 2 x 90 = 180 There is one 0 in 180, so one of the factors is a multiple of 10,

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