Brain Teasers
All the Zeros
If you were to write every number from 1 to 1000, How many zeros (0) would you write altogether in total?
Answer
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decent teaser mad, but you need to explain how you got your answer in your solutions
I only got 183. can someone explain how its 192
10,20,30..,90 = 9 zeroes
multiply by 10 (for 10,20,..,90, 110,120..,190, 210,220..,290, .., 910,920..990) = 90
100,101,102,..,109 = 11
multiply by 9 (for 100,101..,109, 200,201..,209, .., 900,901..909) = 99
1000 = 3
so 90 + 99 + 3 = 192
multiply by 10 (for 10,20,..,90, 110,120..,190, 210,220..,290, .., 910,920..990) = 90
100,101,102,..,109 = 11
multiply by 9 (for 100,101..,109, 200,201..,209, .., 900,901..909) = 99
1000 = 3
so 90 + 99 + 3 = 192
I did 1000/10 + 9*10 + 2 = 192.
1000/10 gets all the zeros in the final place; 90*10 gets all the middle zeros for 100 to 909; 2 gets the two extra zeros in 1000.
1000/10 gets all the zeros in the final place; 90*10 gets all the middle zeros for 100 to 909; 2 gets the two extra zeros in 1000.
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