遞等式計(jì)算(能簡(jiǎn)算的要簡(jiǎn)算).
(1)92.3-55.51+4.49
(2)6.52+1.43+8.57+3.48
(3)75.8-13.57-1.43
(4)39×89+39×12-39
(5)5208÷(31×56)
(6)(2657+35×26)÷29.
解:(1)92.3-55.51+4.49
=36.79-4.49,
=32.3;
(2)6.52+1.43+8.57+3.48
=(6.52+3.48)+(1.43+8.57),
=10+10,
=20;
(3)75.8-13.57-1.43
=75.8-(13.57+1.43),
=75.8-15,
=60.8;
(4)39×89+39×12-39
=(89+12-1)×39,
=100×39,
=3900;
(5)5208÷(31×56)
=5208÷1736,
=3;
(6)(2657+35×26)÷29
=(2657+910)÷29,
=3567÷29,
=123.
分析:(1)按從左到右的順序計(jì)算即可;
(2)可根據(jù)加法交換律計(jì)結(jié)合律計(jì)算;
(3)可根據(jù)一個(gè)數(shù)減兩個(gè)數(shù),等于用這個(gè)數(shù)減去兩個(gè)數(shù)的和的減法性質(zhì)計(jì)算;
(4)可根據(jù)乘法分配律計(jì)算;
(5)(6)根據(jù)四則混合運(yùn)算的運(yùn)算順序計(jì)算即可:先算乘除,再算加減,有括號(hào)的要先算括號(hào)里面的.
點(diǎn)評(píng):在利用遞等式計(jì)算時(shí),要注意計(jì)算過程的完整性,中間不要有太大跳躍.