已知A＝9.889.87×9.86，B＝8.778.76×8.75，A与B中较大的是．

Question

已知A＝(9.88)/(9.87)×9.86，B＝(8.77)/(8.76)×8.75，A与B中较大的是______．

Answer 1

(9.88)/(9.87)×9.86
=(9.87+0.01)/(9.87)×9.86
=（1+(1)/(987)）×9.86
=9.86+(1)/(987)×9.86
=9.86+(986)/(98700)
=9.86+(987−1)/(98700)
=9.86+0.01-(1)/(98700)
=9.87-(1)/(98700)

(8.77)/(8.76)×8.75
=(8.76+0.01)/(8.76)×8.75
=（1+(1)/(876)）×8.75
=8.75+(875)/(87600)
=8.75+(876−1)/(87600)
=8.75+0.01-(1)/(87600)
=8.76-(1)/(87600)

因此9.87-(1)/(98700)＞8.76-(1)/(87600)
所以A＞B．
故答案为：A．