add the integers
Number Theory
Level
1
if [.] is greatest integer function, find the solution to the image above.
note: [1] = 1, [1.99] = 1 and likewise
50
100
51
1
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1 solution
Se r < 50 --> 0,5 + 1 0 0 r < 1 --> [0,5 + 1 0 0 r ] = 0. Se 50 =< r < 100 --> 1 =< 0,5 + 1 0 0 r < 1,5 --> [0,5 + 1 0 0 r ] = 1. Se r = 100 --> [0,5 + 1 0 0 r ] = 1. Total : 0.(50) + 1.(50) + 1.1 = 51.