3.51×49+35.1×5.1+49×51
66666×6+88888×8
2772÷28+34965÷35
2006×2007×20082008-2006×2008×20072007.
分析:(1)3.51×49+35.1×5.1+49×51,首先根據(jù)積的變化規(guī)律,將原式轉(zhuǎn)化為:3.51×49+3.51×51+49×51,再運(yùn)用乘法分配律進(jìn)行簡(jiǎn)算;
(2)66666×6+88888×8,首先根據(jù)積的變化規(guī)律,將原式轉(zhuǎn)化為:11111×36+11111×64,再運(yùn)用乘法分配律進(jìn)行簡(jiǎn)算;
(3)2772÷28+34965÷35,將原式轉(zhuǎn)化為:(2800-28)÷28+(35000-35)÷35,進(jìn)行簡(jiǎn)算;
(4)2006×2007×20082008-2006×2008×20072007,將原式轉(zhuǎn)化為:2006×2007×2008×10001-2006×2008×1007×10001,進(jìn)行簡(jiǎn)算.
解答:解:(1)3.51×49+35.1×5.1+49×51,
=3.51×49+3.51×51+49×51,
=3.51×(49+51)+49×51,
=3.51×100+49×51,
=351+2499,
=2850;

(2)66666×6+88888×8,
=11111×36+11111×64,
=11111×(36+64),
=11111×100,
=1111100;

(3)2772÷28+34965÷35,
=(2800-28)÷28+(35000-35)÷35,
=2800÷28-28÷28+35000÷35-35÷35,
=100-1+1000-1,
=1100-2,
=1098;

(4)2006×2007×20082008-2006×2008×20072007,
=2006×2007×2008×10001-2006×2008×1007×10001,
=0.
點(diǎn)評(píng):此題考查的目的是培養(yǎng)學(xué)生認(rèn)真審題的習(xí)慣,根據(jù)式式中數(shù)字的特點(diǎn),通過(guò)轉(zhuǎn)化達(dá)到簡(jiǎn)算的目的.
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