计算（78.6-0.786X25+0.75X21.4）÷15×2001？
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多次利用乘法分配律进行简算
(78.6－0.786×25+0.75×21.4)÷15×2001
=(78.6－78.6×0.25+0.75×21.4)÷15×2001
=[78.6×(1－0.25)+0.75×21.4]÷15×2001
=(78.6×0.75+0.75×21.4)÷15×2001
=0.75×(78.6+21.4)÷15×2001
=0.75×100÷15×2001
=75÷15×2001
=5×2001
=10005
(78.6－0.786×25+0.75×21.4)÷15×2001
=(78.6－78.6×0.25+0.75×21.4)÷15×2001
=[78.6×(1－0.25)+0.75×21.4]÷15×2001
=(78.6×0.75+0.75×21.4)÷15×2001
=0.75×(78.6+21.4)÷15×2001
=0.75×100÷15×2001
=75÷15×2001
=5×2001
=10005
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（78.6-0.786X25+0.75X21.4）÷15×2001
= （78.6-78.6×0.25+0.75X21.4）÷15×2001
= （78.6×0.75+0.75×21.4）÷15×2001
=0.75×(78.6+21.4)÷15×2001
=0.75×100÷15×2001
=5×2001
=10005
= （78.6-78.6×0.25+0.75X21.4）÷15×2001
= （78.6×0.75+0.75×21.4）÷15×2001
=0.75×(78.6+21.4)÷15×2001
=0.75×100÷15×2001
=5×2001
=10005
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计算
(78.6-0.786*25+0.75*21.4)÷15*2001
=(78.6-78.6*0.25+0.75*21.4)*1/15*2001
=〔78.6(1-0.25)+0.75*21.4〕*2001/15
=〔78.6*0.75+0.75*21.4〕*667/5
=0.75*(78.6+21.4)*667/5
=0.75*100*667/5
=75*667/5
=15*667
=10005
(78.6-0.786*25+0.75*21.4)÷15*2001
=(78.6-78.6*0.25+0.75*21.4)*1/15*2001
=〔78.6(1-0.25)+0.75*21.4〕*2001/15
=〔78.6*0.75+0.75*21.4〕*667/5
=0.75*(78.6+21.4)*667/5
=0.75*100*667/5
=75*667/5
=15*667
=10005
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这道计算题要一步步进行凑整，这样到最后才能一目了然，才能达到简便运算的目的。
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=(78.6-78.6×0.25+0.75×21.4)÷15×2001
=(78.6×(1-0.25)+0.75×21.4)÷15×2001
=(0.75×78.6+0.75×21.4)÷15×2001
=0.75×(78.6+21.4)÷15×2001
=0.75×100÷15×2001
=75÷15×2001
=5×2001
=10005
=(78.6×(1-0.25)+0.75×21.4)÷15×2001
=(0.75×78.6+0.75×21.4)÷15×2001
=0.75×(78.6+21.4)÷15×2001
=0.75×100÷15×2001
=75÷15×2001
=5×2001
=10005
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