1: \(5-\left(1997-2005\right)+1997\)
\(=5-1997+2005+1997\)
\(=\left(5+2005\right)+\left(1997-1997\right)\)
\(=2010+0=2010\)
2: \(4567+\left(1234-4567\right)-4\)
\(=4567+1234-4567-4\)
\(=\left(4567-4567\right)+\left(1234-4\right)\)
\(=0+1230=1230\)
3: \(1579-\left(53+1579\right)-\left(-53\right)\)
\(=1579-53-1579+53\)
\(=\left(1579-1579\right)+\left(53-53\right)\)
=0+0
=0
4: \(2001-15+54-2001-54\)
\(=\left(2001-2001\right)+\left(54-54\right)-15\)
=0+0-15
=-15
5: \(13579-\left(14-53\right)+\left(-13579\right)\)
\(=13579-14+53-13579\)
\(=\left(13579-13579\right)+\left(53-14\right)\)
=39+0
=39
6: \(14537-4+\left(5-14537\right)\)
\(=14537-4+5-14537\)
\(=\left(14537-14537\right)+\left(5-4\right)\)
=1+0
=1
7: \(6-\left(5-5847\right)+5-5847\)
\(=6-5+5847+5-5847\)
\(=6+\left(5-5\right)+\left(5847-5847\right)\)
\(=6+0+0\)
=6
8: \(35-17+1993-35-1993\)
\(=\left(35-35\right)+\left(1993-1993\right)-17\)
=0+0-17
=-17
9: \(-48725-\left(357-48725\right)+300\)
\(=-48725-357+48725+300\)
\(=\left(-48725+48725\right)+\left(-357+300\right)\)
=0+(-57)
=-57
10: \(3579-\left(49-5+3579\right)+49\)
\(=3579-49+5-3579+49\)
\(=\left(3579-3579\right)+\left(49-49\right)+5\)
=0+0+5
=5
