計(jì)算下面各題,怎樣簡(jiǎn)便就怎樣算.
28+155+172+345
(175-96)×36÷12
12.16+31.8-9.16
1846-(7.46+1.87)
493-3625÷25+187
330-187-13+670
解:(1)28+155+172+345
=(28+172)+(155+345),
=200+500,
=700;
(2)(175-96)×36÷12
=79×(36÷12),
=79×3,
=237;
(4)12.16+31.8-9.16
=12.16-9.16+31.8,
=3+31.8,
=34.8;
(5)493-3625÷25+187
=493-145+187,
=493+187-145,
=690-145,
=545;
(6)330-187-13+670
=330+670-(187+13),
=1000-200,
=800.
分析:(1)(3)可根據(jù)加法交換律與結(jié)合律計(jì)算;
(2)先算括號(hào)中的減法,再根據(jù)乘法結(jié)合律計(jì)算.
(4)可根據(jù)一個(gè)數(shù)減兩個(gè)數(shù)的差,等于用這個(gè)數(shù)減去兩個(gè)數(shù)中的被減數(shù)加上減數(shù)的減法性質(zhì)計(jì)算;
(5)先算除法,再根據(jù)加法交換律計(jì)算;
(6)可根據(jù)加法交換律及一個(gè)數(shù)減兩個(gè)數(shù),等于減去這兩個(gè)數(shù)的和的減法性質(zhì)計(jì)算.
點(diǎn)評(píng):完成本題要注意分析式中數(shù)據(jù)的特點(diǎn)及內(nèi)在聯(lián)系,然后運(yùn)用合適的方法計(jì)算.