1. BEAUTY OF
MATHEMATICS

2. PREPARED BY,
REMYA R.
MATHEMATICS
KUCTE, KULAKKADA
REG.NO. 13982010

3. MATHEMATICAL
PYRAMIDS

4. 1×8+1=9
12×8+2=98
123×8+3=987
1234×8+4=9876
12345×8+5=98765
123456×8+6=987654
1234567×8+7=9876543
12345678×8+8=98765432
123456789×8+9=987654321

5. 9×9=81
99×99=9801
999×999=998001
9999×9999=99980001
99999×99999=9999800001

6. 1×9+2 = 11
12×9+3 = 111
123×9+4 = 1111
1234×9+5 = 11111
12345×9+6 = 111111
123456×9+7 = 1111111
1234567×9+8 = 11111111
12345678×9+9 = 111111111
123456789×9+10 = 1111111111

7. 1×8+1=9
11×8+11=99
111×8+111=999
1111×8+1111=9999
11111×8+11111=99999
111111×8+111111=999999
1111111×8+1111111=9999999
11111111×8+11111111=99999999
111111111×8+111111111=999999999
1111111111×8+1111111111=9999999999

8. 7×7=49
67 ×67=4489
667 ×667=444889
6667 ×6667=44448889
66667 ×66667=4444488889

9. 1=12
1+3=22
1+3+5=32
1+3+5+7=42
1+3+5+7+9=52

10. MAGICAL NUMBERS

11. 999999×2 = 1999998
999999×3 = 2999997
999999×4 = 3999996
999999×5 = 4999995
999999×6 = 5999994
999999×7 = 6999993
999999×8 = 7999992
999999×9 = 8999991

12. 123456789 × 9 + 1 = 111 111 111
123456789 × 9 + 2 = 222 222 222
123456789 × 9 + 3 = 333 333 333
123456789 × 9 + 4 = 444 444 444
123456789 × 9 + 5 = 555 555 555
123456789 × 9 + 6 = 666 666 666
123456789 × 9 + 7 = 777 777 777
123456789 × 9 + 8 = 888 888 888
123456789 × 9 + 9 = 999 999 999