Transcript 2.1 Patterns of Multiplication

2.1 Patterns of Multiplication
 Objective: 6.C.1.a Multiply Whole Numbers
 Assessment limits: Use a 3-digit factor by any other
factor with no more than 2-digits and whole numbers
(0-10,000)
Multiplication
Repeated Addition
Factor
A number multiplied to
give a product; for
example, 3 and 5 in 3
X5
Product
The answer in a
multiplication problem
Use basic facts and patterns to find
products
Find 400 X 700
Basic fact is 4 X 7 = 28
Pattern: 4 X 70 = 280
4 X 700 = 2800
40 X 700 = 2,8000
400 X 700 = 280,000
You can count the zeros in the factors
 Step 1: Find the Basic Fact 4 X 7 = 28
 Step 2: Count the number of zeros in each
factor.
 400 X 700
 2 Zeros + 2 zeros= 4 zeros
 Step 3: Write the zeros to the right of the
product in Step 1
 400 X 700 = 280,000
Product from Step 1
Zeros From Step 2
Think: Sometimes there is an extra zero in
the product.
 Can anyone give me an
example?
 Basic Fact 5 X 6 =
30
 Pattern: 5 X 60 = 300
5 X 600 = 3000
50 X 600 = 3,0000
500 X 600 = 300,000
Multiply
 4 X 400
=
1,600
Multiply
 6 X 50
=
300
Multiply
 100 X 12
=
1,200
Copy and Complete
2 X 40 = 80
2 X 400 = 800
20 X 400 = 8000
200 X 400 = 80,000
Copy and Complete
7 X 50 = 350
7 X 500 = 3500
70 X 500 = 35000
700 X 500 = 350,000
Copy and Complete
8 X 120 =960
8 X 1200 = 9600
80 X 1200 = 96000
800 X 1200 = 960,000
Copy and Complete
5 X 60 = 300
5 X 600 = 3000
50 X 600 = 30000
500 X 600 = 300,000
Exit Ticket
How many zeros will
be in the product of
500 and 4,000?
Explain