Thu, Feb 9, 2006 at 9:27 PM
Tonight’s mark six number: 3,6,13,29,39,49.
The first prize:8,880,525
Adding the digits:36,3+6=9
Notice that 3+6=9, 6+13=19. We thus have five 9s.
Consider also
9*8=72, 7+2=9
99*88=8712, 87+12=99
999*888=887112, 887+112=999
9999*8888=88871112,8887+1112=9999
99999*88888=8888711112, 88887+11112=99999
999999*888888=888887111112, 888887+111112=999999
9999999*8888888=888888711111112, 8888887+1111112=9999999
Also consider:
9*2=18,1+8=9
99*22=2178, 21+78=99
999*222=221778, 221+778=999
9999*2222=22217778, 2221+7778=9999
99999*22222=2222177778, 22221+77778=99999
9*3=27, 2+7=9
99*33=3267, 32+67=99
999*333=332667, 332+667=999
9999*3333=33326667, 3332+6667=9999
99999*33333=3333266667, 33332+66667=99999
9*4=36, 3+6=9
99*44=4356, 43+56=99
999*444=443556, 443+556=999
9999*4444=44435556, 4443+5556=9999
99999*44444=4444355556, 44443+55556=99999
9*5=45, 4+5=9
99*55=5445, 54+45=99
999*555=554445, 554+445=999
9999*5555=55544445, 5554+4445=9999
99999*55555=5555444445, 55554+44445=99999
9*6=54, 5+4=9
99*66=6534, 65+34=99
999*666=665334, 665+334=999
9999*6666=66653334, 6665+3334=9999
99999*66666=6666533334, 66665+33334=99999
9*7=63, 6+3=9
99*77=7623, 76+23=99
999*777=776223, 776+223=999
9999*7777=77762223, 7776+2223=9999
99999*77777=7777622223, 77776+22223=99999
9*8=72, 7+2=9
99*88=8712, 87+12=99
999*888=887112, 887+112=999
9999*8888=88871112, 8887+1112=9999
99999*88888=8888711112, 88887+11112=99999
9*9=81, 8+1=9
99*99=9801, 98+1=99
999*999=998001, 998+1=999
9999*9999=99980001, 9998+1=9999
99999*99999=9999800001, 99998+1=99999
Also,
99*17=1583, 15+83=99
99*26=2574, 25+74=99
99*35=3465, 34+65=99
Notice anything?
Moreover:
99*30=2970, 29+70=99
99*31=3069, 30+69=99
99*32=3168, 31+68=99
99*33=3267, 32+67=99
99*34=3366, 33+66=99
99*35=3465, 34+65=99
99*36=3564, 35+64=99
Notice anything other than the 99?
Can you tell 99*n=?
999*20=19980, 19+80=99
999*21=20979, 20+79=99
999*22=21978, 21+78=99
999*23=22977, 22+77=99
999*24=23976, 23+76=99
999*25=24975, 24+75=99
Can you tell 999*n=?
9999*40=39960, 39+60=99
9999*41=40959, 40+59=99
9999*42=41958, 41+58=99
9999*43=42957, 42+57=99
9999*44=43956, 43+56=99
Can you tell 9999*n=?
99999*20=1999980, 80+19=99
99999*21=2099979, 20+79=99
99999*22=2199978, 21+78=99
99999*23=2299977, 22+77=99
Can you tell 99999*n=?
BTW, we can use this method as algorithm for all 9 related calculation. And extending this principle, we can calculate multiplication of any two number without doing the calculation.
Today is 2/9 in Year of Dog. Dog pronounce as nine in Chinese.