簡便計算:
0.36×72+8.4×3.6-560×0.036
999.99×222.22+333.33×333.34.
分析:①可將算式中的8.4×3.6轉(zhuǎn)化為84×0.36,把560×0.036轉(zhuǎn)化為56×0.36,然后再據(jù)分配律進(jìn)行巧算;
②可將算式中的999.99×222.22分解為(333.33×3)×222.22,進(jìn)而轉(zhuǎn)化為333.33×666.66,然后再據(jù)分配律進(jìn)行巧算.
解答:解:①0.36×72+8.4×3.6-560×0.036,
=0.36×72+8.4×(10×3.6)-(56×10)×0.036,
=0.36×72+(8.4×10)×0.36-56×(10×0.036),
=0.36×72+84×0.36-56×0.36,
=0.36×(72+84-56),
=0.36×100,
=36;

②999.99×222.22+333.33×333.34,
=(333.33×3)×222.22+333.33×333.34,
=333.33×(3×222.22)+333.33×333.34,
=333.33×666.66+333.33×333.34,
=333.33×(666.66+333.34),
=333.33×1000,
=333330.
點評:完成本題要認(rèn)真分析式中數(shù)據(jù),然后找出合適的巧算方法.
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