分析:①5.6×0.34的積有幾位小數(shù),根據(jù)小數(shù)乘法的計算法則可知,積的小數(shù)位數(shù)等于兩個因數(shù)小數(shù)位數(shù)的之和,5.6是一位小數(shù),0.34是兩位小數(shù),積是三位小數(shù).
②3.7÷0.24的商的最高位是什么位,根據(jù)除數(shù)是小數(shù)的除法法則,先移動除數(shù)的小數(shù)點.使它變成整數(shù),除數(shù)的小數(shù)點向右移動幾位,被除數(shù)的小數(shù)點也向右移動相同的位數(shù),將原式轉(zhuǎn)化為:370÷24,由此判斷商的最高位是十位.
解答:解:①由小數(shù)乘法的計算法則得:積的小數(shù)位數(shù)等于兩個因數(shù)小數(shù)位數(shù)的之和,5.6是一位小數(shù),0.34是兩位小數(shù),所以5.6×0.34的積是三位小數(shù).
②3.7÷0.24,根據(jù)商不變的性質(zhì)轉(zhuǎn)化為:370÷24,由此得3.7÷0.24的商的最高位是十位.
故答案為:三;十.
點評:此題考查的目的是理解掌握小數(shù)乘法、除法的計算法則.