3.12×0.2的積是________位小數(shù);7.87×2.01的積是________位小數(shù).9.996保留兩位小數(shù)是________.
三 四 10.00
分析:(1)因為3.12與0.2的末尾數(shù)相乘不是0,所以,3.12×0.2積的小數(shù)位數(shù)就是3.12與0.2的小數(shù)位數(shù)和;
(2)7.87與2.01的末尾數(shù)相乘不是0,所以,7.87×2.01積的小數(shù)位數(shù)就是7.87與2.01的小數(shù)位數(shù)和;
(3)要求9.996保留兩位小數(shù)是多少,要看9.996千分位上的數(shù)6,因為6大于5,所以,要向十分位進一,然后再進一步解答即可.
解答:根據(jù)題意可得:
(1)3.12是兩位小數(shù),0.2是一位小數(shù);
因為,2×2=4;
2+1=3;
所以,3.12×0.2的積是三位小數(shù);
(2)7.87是兩位小數(shù),2.01是兩位小數(shù);
因為7×1=7;
2+2=4;
所以,7.87×2.01的積是四位小數(shù);
(3)9.996≈10.00.
故答案為:三,四,10.00.
點評:根據(jù)小數(shù)的乘法,積的小數(shù)位數(shù)等于兩個因數(shù)的小數(shù)位數(shù)和,要注意兩個因數(shù)末尾數(shù)相乘是0的數(shù);要根據(jù)四舍五入法求小數(shù)的近似數(shù).