你能利用商不變的性質(zhì)很快算出下面各題的商嗎?
6300÷700 8100÷900 3000÷125
4800÷25 38700÷900 8000÷1600.
分析:根據(jù)商不變性質(zhì):被除數(shù)和除數(shù)同時擴大或縮小相同的倍數(shù)(0除外),商不變;據(jù)此解答.
解答:解:①6300÷700,
=(6300÷100)÷(700÷100),
=63÷7,
=9;
②8100÷900,
=(8100÷100)÷(900÷100),
=81÷9,
=9;
③3000÷125,
=(3000×8)÷(125×8),
=24000÷1000,
=24;
④4800÷25,
=(4800×4)÷(25×4),
=19200÷100,
=192;
⑤38700÷900,
=(38700÷100)÷(900÷100),
=387÷9,
=43;
⑥8000÷1600,
=(8000÷100)÷(1600÷100),
=80÷16,
=5.
點評:解答此題應(yīng)明確:只有被除數(shù)和除數(shù)同時擴大或縮小相同的倍數(shù)(0除外),商才不變.
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