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Question

Re-arrange suitably and find the sum in each of the following : (i)1112+−173+112+−252 (ii)−67+−56+−49+−157 (iii)35+73+95+−1315+−73 (iv) 413+−58+−813+913 (v)23+−45+13+25 (vi) 18+512+27+712+97+−516

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Solution

(i)1112+−173+112+−252=(1112+−173)+(112+−252)=11−6812+11−252=−5712+−142=−57−8412=−14112 (ii)−67+−56+−49+−157=(−67+−157)+(−56+−49)=−6−157+−15−818=−217+−2318=−373−161126=−539126=−539÷7126÷7=−7718 (iii)35+73+95+−1315+−73=(35+95)+(73)+−1315=3+95+7−73+−1315=125+0+−1315=125+−1315=36−1315=2315 (iv)413+−58+−813+913=413+−813+913+−58=4−8+913+−58=513+−58=40−65104 (LCM of 13,8=104)=−25104 (v) 23+−45+13+25=(23+13)+(−45+25)=2+13+−4+25=33+−25=1+−25=5−25=35 (vi)18+512+27+712+97+−516=(18+−516)+(512+712)+(27+97)=2−516+5+712+2+97=−316+1212+117=−316+1+117=−21+112+176112=−21+288112=267117

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