Beautiful Number Patterns

In Mathematics, number patterns are the patterns
in which a list number follows a certain sequence. Generally, the patterns establish the relationship between two numbers. It is also known as the sequence of series in numbers.

1. Beautiful Number Patterns
(Recreational Mathematics)
K.THIYAGU
Assistant Professor
Department of Education
Central University of Kerala,Kasaragod

2. Number pattern is a pattern or sequence in a series of numbers.
This pattern generallyestablishes a common relationship between all numbers.
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3. In Mathematics, number patterns are the patterns
in which a list number that follows a certain sequence.
Generally, the patterns establish the relationship between two numbers.
It is also known as the sequences of series in numbers.
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4. 1 x 1
11 x 11
111 x 111
1,111 x 1,111
11,111 x 11,111
111,111 x 111,111
1,111,111 x 1,111,111
11,111,111 x 11,111,111
111,111,111 x 111,111,111
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1
121
12,321
1,234,321
1,23,454,321
12,345,654,321
1,234,567,654,321
123,456,787,654,321
12,345,678,987.654.321
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5. 12345679 x 09
12345679 x 18
12345679 x 27
12345679 x 36
12345679 x 45
12345679 x 54
12345679 x 63
12345679 x 72
12345679 x 81
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111,111,111
222,222,222
333,333,333
444,444,444
555,555,555
666,666,666
777,777,777
888,888,888
999,999,999
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6. 999,999 x 1
999,999 x 2
999,999 x 3
999,999 x 4
999,999 x 5
999,999 x 6
999,999 x 7
999,999 x 8
999,999 x 9
999,999 x 10
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0,999,999
1,999,998
2,999,997
3,999,996
4,999,995
5,999,994
6,999,993
7,999,992
8,999,991
9,999,990
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7. 0 x 9 + 1
1 x 9 + 2
12 x 9 + 3
123 x 9 + 4
12,34 x 9 + 5
12,345 x 9 + 6
123,456 x 9 + 7
1,234,567 x 9 + 8
12,345,6 78 x 9 + 9
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1
11
111
1,111
11,111
111,111
1,111,111
11,111,111
111,111,111
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8. 987654321 x 9
987654321 x 18
987654321 x 27
987654321 x 36
987654321 x 45
987654321 x 54
987654321 x 63
987654321 x 72
987654321 x 81
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08 888 888889
17 777 777778
26 666 666667
35 555 555556
44 444 444445
53 333 333334
62 222 222223
71 111 111112
80 000 000001
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9. 1
1 + 2 + 1
1 + 2 + 3 + 2 + 1
1 + 2 + 3 + 4 + 3 + 2 + 1
1 + 2 + 3 + 4 + 5 + 4 + 3 + 2 + 1
1 + 2 + 3 + 4 + 5 + 6 + 5 + 4 + 3 + 2 + 1
1 + 2 + 3 + 4 + 5 + 6 + 7 + 6 + 5 + 4 + 3 + 2 + 1
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1
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1 x 1
2 x 2
3 x 3
4 x 4
5 x 5
6 x 6
7 x 7
8 x 8
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10. 1 = 1= 1×1
1 + 3 = 4 = 2 ×2
1 + 3 + 5 = 9 = 3 ×3
1 + 3 + 5 + 7 = 16 = 4 ×4
1 + 3 + 5 + 7 + 9 = 25 = 5 ×5
1 + 3 + 5 + 7 + 9 + 11 = 36 = 6 ×6
1 + 3 + 5 + 7 + 9 + 11 + 13 = 49 = 7 ×7
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64 = 8 ×8
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 = 81 = 9 ×9
1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 =100 = 10 ×10
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11. 1 x 8
11 x 88
111 x 888
1111 x 8888
11111 x 88888
111111 x 888888
1111111 x 8888888
11111111 x 88888888
111111111 x 888888888
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8
968
98568
9874568
987634568
98765234568
9876541234568
987654301234568
98765431901234568
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12. 1x8+1=9
12x8+2=98
123x8+3=987
1234x8+4=9876
12345x8+5=98765
123456x8+6=987654
1234567x8+7=9876543
12345678x8+8=98765432
123456789x8+9=987654321
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13. 111 (1 + 1 + 1)= 37
222 (2 + 2 + 2)= 37
333 (3 + 3 + 3)= 37
444 (4 + 4 + 4)= 37
555 (5 + 5 + 5)= 37
666 (6 + 6 + 6) = 37
777 (7 + 7 + 7)= 37
888 (8 + 8 + 8)= 37
999 (9 + 9 + 9)= 37
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14. 142857 ×1 = 142857
142857 ×2 = 285714
142857 ×3 = 428571
142857 ×4 = 571428
142857 ×5 = 714285
142857 ×6 = 857142
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15. 1 ×7 + 1 = 9 –1
12 ×7 + 2 = 98 –12
123 ×7 + 3 = 987 –123
1234 ×7 + 4 = 9876 –1234
12345 ×7 + 5 = 98765 –12345
123456 ×7 + 6= 987654 –123456
1234567 ×7 + 7 = 9876543 –1234567
12345678 ×7 + 8 = 98765432 –12345678
123456789 ×7 + 9= 987654321 –123456789
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16. Number is the ruler of forms
and ideas, and the cause of
gods and demons
Pythagoras
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17. Thank You
K.THIYAGU
Assistant Professor
Department of Education
Central University of Kerala,Kasaragod
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