Tabulate multiplication products to evalute generalisation ( even number)

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Seeking for new generalisation to evaluate the products. CoffeeMath Methods, Tips & Tricks Multiplication of Even Numbers 2, 4, 6 & 8

Transcript of Tabulate multiplication products to evalute generalisation ( even number)

Page 1: Tabulate multiplication products to evalute generalisation ( even number)

Seeking for new generalisation to evaluate the products.

CoffeeMathMethods, Tips & Tricks

Multiplication of Even Numbers2, 4, 6 & 8

Page 2: Tabulate multiplication products to evalute generalisation ( even number)

X 21 =2 = 3 =4 =5 =6 =7 =8 =9 =10 =

02040608101214161820

Tabulate theProduct as shown above

Erase the first digit (black) and retain the last digit (red)

02 04 06

08 10 12

14 16 18

2 4 6

8 0 2

4 6 8

Tabulate: The Products of Multiplication Table Of 2

Page 3: Tabulate multiplication products to evalute generalisation ( even number)

X 41 =2 = 3 =4 =5 =6 =7 =8 =9 =10 =

04081216202428323640

Tabulate theProduct as shown above

Erase the first digit (black) and retain the last digit (red)

04 08 12

16 20 24

28 32 36

4 8 2

6 0 4

8 2 6

Tabulate: The Products of Multiplication Table Of 4

Page 4: Tabulate multiplication products to evalute generalisation ( even number)

X 61 =2 = 3 =4 =5 =6 =7 =8 =9 =10 =

06121824303642485460

Tabulate theProduct as shown above

Erase the first digit (black) and retain the last digit (red)

06 12 18

24 30 36

42 48 54

6 2 8

4 0 6

2 8 4

Tabulate: The Products of Multiplication Table Of 6

Page 5: Tabulate multiplication products to evalute generalisation ( even number)

X 81 =2 = 3 =4 =5 =6 =7 =8 =9 =10 =

08162432404856647280

Tabulate theProduct as shown above

Erase the first digit (black) and retain the last digit (red)

08 16 24

32 40 48

56 64 72

8 6 4

2 0 8

6 4 2

Tabulate: The Products of Multiplication Table Of 8

Page 6: Tabulate multiplication products to evalute generalisation ( even number)

2 4 6

8 0 2

4 6 8

4 8 2

6 0 4

8 2 6

6 2 8

4 0 6

2 8 4

8 6 4

2 0 8

6 4 2

Tim

es T

able

of

2T

imes

Tab

le o

f 6

Tim

es T

able

of

4T

imes

Tab

le o

f 8

Here are the tabularized last digits of products.Let’s us examine the similarities of the number patterns

Page 7: Tabulate multiplication products to evalute generalisation ( even number)

2 4 6

8 0 2

4 6 8

4 8 2

6 0 4

8 2 6

6 2 8

4 0 6

2 8 4

8 6 4

2 0 8

6 4 2

Tim

es T

able

of

2T

imes

Tab

le o

f 6

Tim

es T

able

of

4T

imes

Tab

le o

f 8

Here are the tabularized last digits of products.Let’s us examine the similarities of the number patterns

Page 8: Tabulate multiplication products to evalute generalisation ( even number)

2 4 6

8 0 2

4 6 8

4 8 2

6 0 4

8 2 6

6 2 8

4 0 6

2 8 4

8 6 4

2 0 8

6 4 2

Tim

es T

able

of

2T

imes

Tab

le o

f 6

Tim

es T

able

of

4T

imes

Tab

le o

f 8

Let’s us examine the similarities of the number patterns

Page 9: Tabulate multiplication products to evalute generalisation ( even number)

2 4 6

8 0 2

4 6 8

4 8 2

6 0 4

8 2 6

6 2 8

4 0 6

2 8 4

8 6 4

2 0 8

6 4 2

Tim

es T

able

of

2T

imes

Tab

le o

f 6

Tim

es T

able

of

4T

imes

Tab

le o

f 8

Let’s us examine the similarities of the number patterns

Page 10: Tabulate multiplication products to evalute generalisation ( even number)

2 4 6

8 0 2

4 6 8

4 8 2

6 0 4

8 2 6

6 2 8

4 0 6

2 8 4

8 6 4

2 0 8

6 4 2

Tim

es T

able

of

2T

imes

Tab

le o

f 6

Tim

es T

able

of

4T

imes

Tab

le o

f 8

Let’s us rotate the Times Table of 4, 6 and 8 only.

Page 11: Tabulate multiplication products to evalute generalisation ( even number)

2 4 6

8 0 2

4 6 8Tim

es T

able

of

2T

imes

Tab

le o

f 6

Tim

es T

able

of

4T

imes

Tab

le o

f 8

Let’s us rotate every the number of Times Table of 4, 6 and 8.

4

8

2

60 48

2

6

628

40

6

284 864

208

642

Page 12: Tabulate multiplication products to evalute generalisation ( even number)

2 4 6

8 0 2

4 6 8

Times Table of 2

Times Table of 6

Times Table of 4

Times Table of 8

Final Result fulfills with…

Page 13: Tabulate multiplication products to evalute generalisation ( even number)

Now we use this generalisation to evaluate the products.

Page 14: Tabulate multiplication products to evalute generalisation ( even number)

Multiplication of 2

2 4 6

8 0 2

4 6 8

X 2

0 0 0

0 1 1

1 1 1

Menu

X 2

X 4

X 6

Click any link

FINISH

X 8

Page 15: Tabulate multiplication products to evalute generalisation ( even number)

Multiplication of 4

2 4 6

8 0 2

4 6 8

X 4

1 2 3

0 2 3

0 1 2

Click any link

FINISH

Menu

X 2

X 4

X 6

X 8

Page 16: Tabulate multiplication products to evalute generalisation ( even number)

Multiplication of 6

2 4 6

8 0 2

4 6 8

X 6

4 2 0

4 3 1

5 3 1

Click any link

FINISH

Menu

X 2

X 4

X 6

X 8

Page 17: Tabulate multiplication products to evalute generalisation ( even number)

Multiplication of 8

2 4 6

8 0 2

4 6 8

X 8

7 6 5

4 4 3

2 1 0

Click any link

FINISH

Menu

X 2

X 4

X 6

X 8

Page 18: Tabulate multiplication products to evalute generalisation ( even number)

Thanks