Tabulate multiplication products to evalute generalisation ( even number)
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Transcript of 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
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
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
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
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
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
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
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
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
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.
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
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…
Now we use this generalisation to evaluate the products.
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
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
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
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
Thanks