下面各題能簡(jiǎn)便計(jì)算的寫(xiě)出簡(jiǎn)算過(guò)程.
①21.35-3.25-16.75
②33.02-(148.4-90.85)÷2.5
③32×2.5×0.125
④18.1+(3-0.299÷0.23)×1.
解:據(jù)分析解答如下:
(1)21.35-3.25-16.75,
=21.35-(3.25+16.75),
=21.35-20,
=1.35;
(2)33.02-(148.4-90.85)÷2.5,
=33.02-57.55÷2.5,
=33.02-23.02,
=10;
(3)32×2.5×0.125,
=4×8×2.5×0.125,
=(4×2.5)×(8×0.125),
=10×1,
=10;
(4)18.1+(3-0.299÷0.23)×1,
=18.1+(3-1.3)×1,
=18.1+1.7×1,
=18.1+1.7,
=19.8.
分析:(1)先將原式變形為21.35-(3.25+16.75),然后先計(jì)算括號(hào)里面的,再計(jì)算括號(hào)外面的.
(2)先進(jìn)行括號(hào)里面的減法計(jì)算,再進(jìn)行括號(hào)外面的除法計(jì)算,最后進(jìn)行括號(hào)外面的減法計(jì)算.
(3)先將原式變形為4×8×2.5×0.125,進(jìn)而再變形為(4×2.5)×(8×0.125),然后再分別計(jì)算括號(hào)里面的,進(jìn)而求解.
(4)先進(jìn)行括號(hào)里面的除法計(jì)算,再進(jìn)行括號(hào)里面的減法計(jì)算,進(jìn)而進(jìn)行括號(hào)外面的乘法計(jì)算,最后進(jìn)行括號(hào)外面的加法計(jì)算,即可得解.
點(diǎn)評(píng):此類題目主要依據(jù)小數(shù)四則混合運(yùn)算的方法解決問(wèn)題,要注意能簡(jiǎn)便計(jì)算的要進(jìn)行簡(jiǎn)便計(jì)算.