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Question

Express each of the following as a rational number of the form pq:
(i) -83+-14+-116+38-3
(ii) 67+1+-79+1921+-127
(iii) 152+98+-113+6+-76
(iv) -74+0+-95+1910+1114
(v) -74+53+-12+-56+2

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Solution

(i) -83+-14+-116+38-3=-6424+-624+-4424+924-7224=(-64)+(-6)+(-44)+9+(-72)24=-64-6-44+9-7224=-17724=-598(ii) 67+1+-79+1921+-127=5463+6363+-4963+5763+-10863=54+63+(-49)+57+(-108)63=54+63-49+57-10863=1763(iii) 152+98+-113+6+-76=18024+2724+-8824+14424+-2824=180+27+(-88)+144+(-28)24=180+27-88+144-2824=23524(iv) -74+0+-95+1910+1114=-245140+-252140+266140+110140=(-245)+(-252)+266+110140=-245-252+266+110140=-121140(v) -74+53+-12+-56+2=-2112+2012+-612+-1012+2412=(-21)+20+(-6)+(-10)+2412=-21+20-6-10+2412=712

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