解:①58.7+24.79-18
,
=58.7-18.7+24.79,
=40+24.79,
=64.79;
②6.8÷0.125÷0.8,
=6.8÷(0.125×0.8),
=6.8÷0.1,
=68;
③23×
+57÷1
,
=(23+57)×
,
=80×
,
=70;
④2.8×10.1,
=2.8×(10+0.1),
=2.8×10+2.8×0.1,
=28+0.28,
=28.28.
分析:①58.7+24.79-18
,把分?jǐn)?shù)化成小數(shù),再根據(jù)加、減法的運(yùn)算性質(zhì)進(jìn)行簡算;
②6.8÷0.125÷0.8,根據(jù)除法的運(yùn)算性質(zhì)進(jìn)行簡算;
③23×
+57÷1
,把除數(shù)轉(zhuǎn)換為乘它的倒數(shù),再運(yùn)用乘法分配律簡算;
④2.8×10.1,轉(zhuǎn)化為:2.8×(10+0.1),再運(yùn)用乘法分配律簡算.
點(diǎn)評:此題考查的目的是理解掌握加、減法、除法的運(yùn)算性質(zhì),乘法的運(yùn)算定律,并且能夠靈活運(yùn)用這些運(yùn)算定律和運(yùn)算性質(zhì)進(jìn)行簡便計(jì)算.