Multiplication Patterns

 

1

2

3

4

5

6

7

8

9

10

1

1*1=1

1*2=2

1*3=3

1*4=4

1*5=5

1*6=6

1*7=7

1*8=8

1*9=9

1*10=10

2

2*1=2

2*2=4

2*3=6

2*4=8

2*5=10

2*6=12

2*7=14

2*8=16

2*9=18

2*10=20

3

3*1=3

3*2=6

3*3=9

3*4=12

3*5=15

3*6=18

3*7=21

3*8=24

3*9=27

3*10=30

4

4*1=4

4*2=8

4*3=12

4*4=16

4*5=20

4*6=24

4*7=28

4*8=32

4*9=36

4*10=40

5

5*1=5

5*2=10

5*3=15

 5*4=20

5*5=25

5*6=30

5*7=35

5*8=40

5*9=45

5*10=50

6

6*1=6

6*2=12

6*3=18

6*4=24

6*5=30

6*6=36

6*7=42

6*8=48

6*9=54

6*10=60

7

7*1=7

7*2=14

7*3=21

7*4=28

7*5=35

7*6=42

7*7=49

7*8=56

7*9=63

7*10=70

8

8*1=8

8*2=16

8*3=24

8*4=32

8*5=40

8*6=48

8*7=56

8*8=64

8*9=72

8*10=80

9

9*1=9

9*2=18

9*3=27

9*4=36

9*5=45

9*6=54

9*7=63

9*8=72

9*9=81

9*10=90

10

10*1=10

10*2=20

10*3=30

10*4=40

10*5=50

10*6=60

10*7=70

10*8=80

10*9=90

10*10=100

 

Twin facts: because of the commutative law, once you know one of the pair of twin facts, you know both of them. In other words, a*b = b*a for any numbers a and b.

Example: 7*9 = 9*7 = 63

Times 10: to multiply a whole number by 10, write an extra zero at the end of the number.

Example: 5*10 = 50

Times 1: to multiply a number by 1, do nothing.

Example: 8*1 = 8

Times 9: To multiply a number by 9, multiply it by 10 and subtract the number. Or use your hands.

Example: 9*7 = 10*7 - 7 = 70 - 7 = 63                                           

To do it on hands, bend finger #7 from the left.

There are six fingers to the left of the bent finger, and three fingers to the right. So we have 9*7=63

Times 5: To multiply a number by 5, multiply a half of that number by 10.

Example: 5 times 8 is the same as four 10s, or 40, so 5*8 = 40

Times 2: to multiply a number by two, add it to itself.

Off diagonal: To multiply numbers that differ by two, multiply the number between them by itself and subtract one.

Example: 6*8 = 7*7 - 1 = 48