Transcript Patterns of Multiplication

© 2007 M. Tallman
Factor- a number that is
multiplied by another.
3 × 4 = 12
factor
factor
© 2007 M. Tallman
Product- the answer to a
multiplication problem.
3 × 4 = 12
factor
factor
© 2007 M. Tallman
product
The following pattern of multiplication is
related to a basic math fact: 4 × 6 = 24
4 × 6 = 24
4 × 60 = 240
4 × 600 = 2,400
4 × 6,000 = 24,000
4 × 60,000 = 240,000
© 2007 M. Tallman
The following pattern of multiplication is
related to a basic math fact: 7 × 8 = 56
7 × 8 = 56
7 × 80 = 560
7 × 800 = 5,600
7 × 8,000 = 56,000
7 × 80,000 = 560,000
© 2007 M. Tallman
The following pattern of multiplication is
related to a basic math fact: 5 × 12 = 60
5 × 12 = 60
5 × 120 = 600
5 × 1,200 = 6,000
5 × 12,000 = 60,000
5 × 120,000 = 600,000
© 2007 M. Tallman
0
1 2
1 2
5 × 600 = 3,000
Step 1:
Find and “box”
the basic math
fact.
Step 2:
Find the product
for the basic
math fact.
Step 3:
Count the
zeros in both
factors.
© 2007 M. Tallman
Step 4:
Place the same
numbers of zeros
in the product.
0
1 2
1 2
4 × 600 = 2,400
Step 1:
Find and “box”
the basic math
fact.
Step 2:
Find the product
for the basic
math fact.
Step 3:
Count the
zeros in both
factors.
© 2007 M. Tallman
Step 4:
Place the same
numbers of zeros
in the product.
0
1 2 3
1 2 3
9 × 3,000 = 27, 000
Step 1:
Find and “box”
the basic math
fact.
Step 2:
Find the product
for the basic
math fact.
Step 3:
Count the
zeros in both
factors.
© 2007 M. Tallman
Step 4:
Place the same
numbers of zeros
in the product.
0
1 2 3
1 2 3
7 × 6,000 = 42, 000
Step 1:
Find and “box”
the basic math
fact.
Step 2:
Find the product
for the basic
math fact.
Step 3:
Count the
zeros in both
factors.
© 2007 M. Tallman
Step 4:
Place the same
numbers of zeros
in the product.
0
1
2 3 4
5 × 120,000 =
Tip: Do
not count
the zero
in 60.
Step 1:
Find and “box”
the basic math
fact.
1 2 3 4
6000
, 00
Step 2:
Find the product
for the basic
math fact.
Step 3:
Count the
zeros in both
factors.
© 2007 M. Tallman
Step 4:
Place the same
numbers of zeros
in the product.
Multiply mentally.
1.
2.
3.
4.
5.
6.
7.
800 × 3 =
9 × 50 =
12 × 4,000 =
900,000 × 3 =
11 × 5,000 =
7 × 600,000 =
6,000 × 4 =
1.
2.
3.
4.
5.
6.
7.
© 2007 M. Tallman
2,400
450
48,000
2,700,000
55,000
4,200,000
24,000
Use what you know about multiplication
patterns to solve for the unknown variable.
8 × 7 = c c = 56
e × 70 = 560 e = 8
800 × 7 = u u = 5,600
8,000 × v = 56,000 v = 7
7 × 80,000 = w w = 560,000
e × 700,000 = 5,600,000 e = 8
© 2007 M. Tallman
Use what you know about multiplication
patterns to solve for the unknown variable.
12 × 6 = d d = 72
120 × f = 720 f = 6
c × 6,000 = 72,000 c = 12
12,000 × f = 72,000 f = 6
12 × 60,000 = j j= 720,000
m × 600,000 = 7,200,000 m = 12
© 2007 M. Tallman
© 2007 M. Tallman
The following pattern of multiplication is
related to a basic math fact: 3 × 8 = 24
3 × 8 = 24
30 × 8 = 240
30 × 80 = 2,400
30 × 800 = 24,000
30 × 8,000 = 240,000
© 2007 M. Tallman
The following pattern of multiplication is
related to a basic math fact: 2 × 9 = 18
2 × 9 = 18
20 × 9 = 180
20 × 90 = 1,800
20 × 900 = 18,000
20 × 9,000 = 180,000
© 2007 M. Tallman
The following pattern of multiplication is
related to a basic math fact: 3 × 12 = 36
3 × 12 = 36
30 × 12 = 360
30 × 120 = 3,600
30 × 1,200 = 36,000
30 × 12,000 = 360,000
© 2007 M. Tallman
The following pattern of multiplication is
related to a basic math fact: 6 × 5 = 30
6 × 5 = 30
60 × 5 = 300
60 × 50 = 3,000
60 × 500 = 30,000
60 × 5,000 = 300,000
© 2007 M. Tallman
1
1 2
2
60 × 120 = 7,200
Step 1:
Find and “box”
the basic
math fact.
Step 2:
Find the product
for the basic
math fact.
Step 3:
Count the
zeros in both
factors.
© 2007 M. Tallman
Step 4:
Place the same
numbers of zeros
in the product.
1
1 2 3
2 3
40 × 500 = 200
, 00
Tip: Do
not count
the zero
in 20.
Step 1:
Find and “box”
the basic
math fact.
Step 2:
Find the product
for the basic
math fact.
Step 3:
Count the
zeros in both
factors.
© 2007 M. Tallman
Step 4:
Place the same
numbers of zeros
in the product.
4 5
1 2 3
7,000 × 600 =
1 2 3 4 5
, 00
4,2000
Step 1:
Find and “box”
the basic
math fact.
Step 2:
Find the
product for the
basic math fact.
Step 3:
Count the
zeros in both
factors.
© 2007 M. Tallman
Step 4:
Place the same
numbers of zeros
in the product.
3
1 2
4 5 6
400 × 20,000 =
1 2 3 4 5 6
8,0000
, 00
Step 1:
Find and “box”
the basic
math fact.
Step 2:
Find the
product for the
basic math fact.
Step 3:
Count the
zeros in both
factors.
© 2007 M. Tallman
Step 4:
Place the same
numbers of zeros
in the product.
Multiply mentally.
1.
2.
3.
4.
5.
6.
7.
800 × 30 =
90 × 500 =
120 × 4,000 =
90,000 × 300 =
1,100 × 5,000 =
70 × 600,000 =
6,000 × 4,000 =
© 2007 M. Tallman
1.
2.
3.
4.
5.
6.
7.
24,000
45,000
480,000
27,000,000
5,500,000
42,000,000
24,000,000
Use what you know about multiplication
patterns to solve for the unknown variable.
8 × 7 = c c = 56
e × 70 = 5,600 e = 80
800 × 70 = u u = 56,000
8,000 × v = 560,000 v = 70
700 × 8,000 = w w = 5,600,000
e × 70,000 = 56,000,000 e = 800
© 2007 M. Tallman
Use what you know about multiplication
patterns to solve for the unknown variable.
12 × 6 = d d = 72
120 × f = 720 f = 6
c × 6,000 = 720,000 c = 120
12,000 × f = 7,200,000 f = 600
120 × 60,000 = j j= 7,200,000
m × 60,000 = 72,000,000 m = 1,200
© 2007 M. Tallman