小亮在进行小数大小比较时,把循环点全忘了,写成了如下的算式,你能帮帮他吗?(在下列数字上标上循环点,使不等式正确)
0.2008>0.2008>0.2008>0.2008.
解:0.200
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>0.
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00
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>0.20
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>0.2
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0
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;
故答案为:200
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,
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00
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,20
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,2
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0
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.
分析:因为这四个小数都是循环小数,循环节应分别是:“2008”,“008”,“08”,“8”,即这四个数分别为:0.
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00
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,0.2
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0
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,0.20
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,0.200
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,再根据小数大小的比较方法进行比较:比较两个小数的大小,先看它们的整数部分,整数大的那个数就大;如果整数部分相同,十分位大的那个数就大.如果十分位上的那个数也相同,百分位上的数大的那个数就大…
点评:解答此题先写出这四个小数的循环节可能是多少,再根据小数大小的比较方法进行比较,加上循环点,使不等式成立.