分析:(1)利用乘法結(jié)合律簡(jiǎn)算;
(2)先算除法,再算乘法,最后算減法;
(3)利用加法交換律簡(jiǎn)算;
(4)利用乘法分配律簡(jiǎn)算;
(5)先算小括號(hào)里面的除法,再算中括號(hào)里面的除法,最后算括號(hào)外面的除法;
(6)把198寫成200-2,利用乘法分配律簡(jiǎn)算.
解答:解:(1)31×8×125
=31×(8×125)
=31×1000
=31000;
(2)984-87×(360÷60)
=984-87×6
=984-522
=462;
(3)235+78+165
=235+165+78
=400+78
=478;
(4)52×71+29×52
=(71+29)×52
=100×52
=5200;
(5)25÷[125÷(625÷25)]
=25÷[125÷25]
=25÷5
=5;
(6)42×198
=42×(200-2)
=42×200-42×2
=8400-84
=8316.
點(diǎn)評(píng):整數(shù)四則混合運(yùn)算的關(guān)鍵是抓住運(yùn)算順序,正確按運(yùn)算順序計(jì)算,適當(dāng)運(yùn)用運(yùn)算定律簡(jiǎn)算.