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 X 5

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 =• Pattern: 5 X 60 = 300

5 X 600 = 3000

50 X 600 = 3,0000

500 X 600 = 300,000

30

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 =

200 X 400 =800080,000

Copy and Complete

7 X 50 =

7 X 500 = 3500

70 X 500 =

700 X 500 =35000350,000

350

Copy and Complete

8 X 120 =

8 X 1200 =

80 X 1200 =

800 X 1200 =96000960,000

960

9600

Copy and Complete

5 X 60 =

5 X 600 = 3000

50 X 600 =

500 X 600 =30000300,000

300