1. 填空。
$6800÷400$
$=(\_\_\_\_\_\_×68)÷(\_\_\_\_\_\_×4)$
$=\_\_\_\_\_\_÷\_\_\_\_\_\_$
$=\_\_\_\_\_\_$
$0.26÷0.02$
$=(\_\_\_\_\_\_×26)÷(\_\_\_\_\_\_×2)$
$=\_\_\_\_\_\_÷\_\_\_\_\_\_$
$=\_\_\_\_\_\_$
$\frac{3}{7}÷\frac{5}{14}$
$=\frac{(\quad)}{14}÷\frac{5}{14}$
$=(\_\_\_\_\_\_×\_\_\_\_\_\_)÷(\_\_\_\_\_\_×5)$
$=\_\_\_\_\_\_÷\_\_\_\_\_\_$
$=\_\_\_\_\_\_$
$6800÷400$
$=(\_\_\_\_\_\_×68)÷(\_\_\_\_\_\_×4)$
$=\_\_\_\_\_\_÷\_\_\_\_\_\_$
$=\_\_\_\_\_\_$
$0.26÷0.02$
$=(\_\_\_\_\_\_×26)÷(\_\_\_\_\_\_×2)$
$=\_\_\_\_\_\_÷\_\_\_\_\_\_$
$=\_\_\_\_\_\_$
$\frac{3}{7}÷\frac{5}{14}$
$=\frac{(\quad)}{14}÷\frac{5}{14}$
$=(\_\_\_\_\_\_×\_\_\_\_\_\_)÷(\_\_\_\_\_\_×5)$
$=\_\_\_\_\_\_÷\_\_\_\_\_\_$
$=\_\_\_\_\_\_$
答案:$6800÷400$
$=(\underline{100}×68)÷(\underline{100}×4)$
$=\underline{68}÷\underline{4}$
$=\underline{17}$
$0.26÷0.02$
$=(\underline{0.01}×26)÷(\underline{0.01}×2)$
$=\underline{26}÷\underline{2}$
$=\underline{13}$
$\frac{3}{7}÷\frac{5}{14}$
$=\frac{(\ 6\ )}{14}÷\frac{5}{14}$
$=(\underline{6}×\underline{\frac{1}{14}})÷(\underline{\frac{1}{14}}×5)$
$=\underline{6}÷\underline{5}$
$=\underline{\frac{6}{5}}$
$=(\underline{100}×68)÷(\underline{100}×4)$
$=\underline{68}÷\underline{4}$
$=\underline{17}$
$0.26÷0.02$
$=(\underline{0.01}×26)÷(\underline{0.01}×2)$
$=\underline{26}÷\underline{2}$
$=\underline{13}$
$\frac{3}{7}÷\frac{5}{14}$
$=\frac{(\ 6\ )}{14}÷\frac{5}{14}$
$=(\underline{6}×\underline{\frac{1}{14}})÷(\underline{\frac{1}{14}}×5)$
$=\underline{6}÷\underline{5}$
$=\underline{\frac{6}{5}}$
2. 先把除以一个数改写成乘这个数的倒数的形式,再计算。
$84÷6$
$0.84÷0.06$
$\frac{14}{27}÷7$
$\frac{14}{27}÷\frac{7}{9}$
$84÷6$
$0.84÷0.06$
$\frac{14}{27}÷7$
$\frac{14}{27}÷\frac{7}{9}$
答案:$84÷6$
$=84×\frac{1}{6}$
$=14$
$0.84÷0.06$
$=0.84×\frac{100}{6}$
$=14$
$\frac{14}{27}÷7$
$=\frac{14}{27}×\frac{1}{7}$
$=\frac{2}{27}$
$\frac{14}{27}÷\frac{7}{9}$
$=\frac{14}{27}×\frac{9}{7}$
$=\frac{2}{3}$
$=84×\frac{1}{6}$
$=14$
$0.84÷0.06$
$=0.84×\frac{100}{6}$
$=14$
$\frac{14}{27}÷7$
$=\frac{14}{27}×\frac{1}{7}$
$=\frac{2}{27}$
$\frac{14}{27}÷\frac{7}{9}$
$=\frac{14}{27}×\frac{9}{7}$
$=\frac{2}{3}$
3. 把下面的推理过程补充完整。
设 $0.84÷4=a$,则
$0.84=a×4$
$0.84×\frac{1}{4}=a×4×(\quad)$
$0.84×\frac{1}{4}=(\quad)$
又因为 $0.84÷4=a$,所以 $0.84÷4=0.84×(\quad)$
设 $0.84÷4=a$,则
$0.84=a×4$
$0.84×\frac{1}{4}=a×4×(\quad)$
$0.84×\frac{1}{4}=(\quad)$
又因为 $0.84÷4=a$,所以 $0.84÷4=0.84×(\quad)$
答案:设 $0.84÷4=a$,则
$0.84=a×4$
$0.84×\frac{1}{4}=a×4×(\frac{1}{4})$
$0.84×\frac{1}{4}=(a)$
又因为 $0.84÷4=a$,所以 $0.84÷4=0.84×(\frac{1}{4})$
$0.84=a×4$
$0.84×\frac{1}{4}=a×4×(\frac{1}{4})$
$0.84×\frac{1}{4}=(a)$
又因为 $0.84÷4=a$,所以 $0.84÷4=0.84×(\frac{1}{4})$