Question

1+(-2)+(-3)+4+5+(-6)+(-7)+8+.....+99-100-101+102+103

Answer 1

1 + ( -2 ) + (-3 ) + 4 + 5 + ( -6 ) + ..... + 99 - 100 - 101 + 102 + 103 
[ 1 + ( -2 )] + [(-3 ) + 4] + [5 + ( -6 )] + ..... +[-98+ 99 ]- 100 - 101 + 102 + 103 
=  ( -1 ) + 1 + ( -1 ) + ..... + (-1 ) +....+ (-1 )- 100 -101 + 102 + 103 
= 0 + 50 - 100 - 101 + 102 + 103 
= 54
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Answer 2

1+(-2)+(-3)+4+5+(-6)+(-7)+8+.....+99-100-101+102+103

= 1 + ( 2 - 3 - 4 + 5 ) + (6 - 7 - 8 + 9 ) + ... ( 98 - 99 -100 + 101 ) +102

= 1 + 0 + 0 + 0 + .... + 102

=103