Multiples of Eleven

Contributor: Meghan Vestal. Lesson ID: 11319

Do you understand times tables? Does multiplication by 11 seem tricky? We have a trick for you to help you learn the 11 times tables. Join the song, play an online game and make a Multiplication Wrap!

categories

Elementary

subject
Math
learning style
Auditory, Visual
personality style
Lion, Beaver
Grade Level
Intermediate (3-5)
Lesson Type
Quick Query

Lesson Plan - Get It!

Audio:

Tell a teacher or parent what you notice as soon as you look at these multiples of 11: 11, 22, 33, 44, … .

Throughout this series, Times Tables, you have learned how to multiply with two, five, and ten.

Let's try a few practice problems to make sure you are retaining what you have learned. Tell the product of each problem to a teacher or parent:

  • 10 x 10 =
  • 7 x 2 =
  • 10 x 9 =
  • 5 x 8 =
  • 10 x 3 =

How did you do? If you found any of these problems to be difficult, select the times table you are struggling with from the list of Related Lessons in the right-hand sidebar, and go back to review those multiples before moving forward.

In this lesson, you will learn multiples of 11. Multiplying with double digits may seem scary, but multiplying with 11 is actually very easy.

Did you notice any type of pattern or repetition when you saw the list of numbers at the very beginning of the lesson? If not, look at the multiplication table below. The 11 times tables have been highlighted. What do you notice when you examine multiples of 11? Tell your teacher or parent.

 

1

2

3

4

5

6

7

8

9

10

11

12

1

1

2

3

4

5

6

7

8

9

10

11

12

2

2

4

6

8

10

12

14

16

18

20

22

24

3

3

6

9

12

15

18

21

24

27

30

33

36

4

4

8

12

16

20

24

28

32

36

40

44

48

5

5

10

15

20

25

30

35

40

45

50

55

60

6

6

12

18

24

30

36

42

48

54

60

66

72

7

7

14

21

28

35

42

49

56

63

70

77

89

8

8

16

24

32

40

48

56

64

72

80

88

96

9

9

18

27

36

45

54

63

72

81

90

99

108

10

10

20

30

40

50

60

70

80

90

100

110

120

11

11

22

33

44

55

66

77

88

99

110

121

132

12

12

24

36

48

60

72

84

96

108

120

132

144

 

You should have noticed that the product of any number from one to nine times eleven is just the number doubled. For example, 9 x 11 = 99. The answer is just nine doubled.

There is also a simple trick for determining the product of any number from ten to eighteen times eleven. To find the product for these problems, write the sum of the digits between the digits. See the examples below for a visual:

11 x 10 = 110

1 (1+0) 0 = 110

11 x 11 = 121

1 (1+1) 1 = 121

11 x 12 = 132

1 (1+2) 2 = 132

 

Add these tips to the foldable you have been creating throughout this series under the "11" flap. Then, review what you have learned about the 11 times tables by listening to the song 11 times trick (for numbers greater than 9)- multiplication math song (Mr. R's Songs for Teaching):

 

What tricks for remembering the 11 times tables did you hear in the video? Tell your teacher or parent.

Listen to the song as many times as you need to, to get the hang of multiples of 11. Then, move onto the Got It? section to start solving problems.

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