Question

絕對(duì)值不大于2008的所有整數(shù)的和為________

Answer 1

0
分析：根據(jù)絕對(duì)值的性質(zhì)可知絕對(duì)值不大于2008的所有整數(shù)是0，±1，±2，±3，…，±2007，±2008．根據(jù)相反數(shù)的性質(zhì)可得它們的和是0．
解答：根據(jù)絕對(duì)值的性質(zhì)可知絕對(duì)值不大于2008的所有整數(shù)是0，±1，±2，±3，…，±2007，±2008，每一組絕對(duì)值相等的數(shù)均互為相反數(shù)，
故絕對(duì)值不大于2008的所有整數(shù)的和為0．
故答案為0．
點(diǎn)評(píng)：此題考查了絕對(duì)值的性質(zhì)，要求掌握絕對(duì)值的性質(zhì)及其定義，并能熟練運(yùn)用到實(shí)際當(dāng)中，會(huì)利用相反數(shù)的性質(zhì)求和．
絕對(duì)值規(guī)律總結(jié)：一個(gè)正數(shù)的絕對(duì)值是它本身；一個(gè)負(fù)數(shù)的絕對(duì)值是它的相反數(shù)；0的絕對(duì)值是0．
相反數(shù)性質(zhì)：互為相反數(shù)的兩個(gè)數(shù)和為0．