考點(diǎn):循環(huán)小數(shù)及其分類
專題:運(yùn)算順序及法則
分析:先把循環(huán)小數(shù)化為分?jǐn)?shù),然后再進(jìn)行計(jì)算即可:純循環(huán)小數(shù)化成分?jǐn)?shù),循環(huán)節(jié)有幾個(gè)數(shù)字,分母就有幾個(gè)9,分子是循環(huán)節(jié)的數(shù)字;混循環(huán)小數(shù)化成分?jǐn)?shù),循環(huán)節(jié)有幾個(gè)數(shù)字,分母就有幾個(gè)9,循環(huán)節(jié)前到小數(shù)點(diǎn)間有幾位數(shù)字,分母9后面就有幾個(gè)0,分子是混循環(huán)數(shù)字減去循環(huán)節(jié)前數(shù)字的差,有些化成的分?jǐn)?shù)需要約分.
解答:
解:(1)0.
3
+0.
4
+0.
2
=
+
+
=
=1
(2)0.
8
+0.
4
+0.
5
=
+
+
=
=1.
9
(3)0.
3
+0.3
+0.42
=
+
+
=1
(4)0.1
+0.2
+0.3
+0.4
+0.5
+0.6
+0.7
+0.8
=
+
+
+
+
+
+
+
=4
點(diǎn)評(píng):此題主要考查的是循環(huán)小數(shù)化成分?jǐn)?shù)的方法.