Monday, February 22, 2010

favourite math question number.two

23) The numbers 123 456 789 and 999 999 999 are multiplied. How many of the digits in the final result are 9's ?
123456789
x999999999
_____________
1111111101
1111111101
1111111101
1111111101
1111111101
1111111101
1111111101
1111111101
1111111101
__________________
123456788876543211

[ its difficult to show the places exactly and they dont line up , but i hope this shows what i mean ]

first , i multiplied 123 456 789 x 9 = 1 111 111 101
then added them 9 times ; each time moving it forward one decimal space

the final answer was 123456788876543211
which concluded that there were no 9s

i chose this question because it looked really interesting
and it seemed challenging
( 123456789 x 999999999 )
i liked the question becuase it had a pattern
( 12345678887654321 )
and the question was fun to figure out

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