一、口算。
$69\% ×\frac {100}{23}=$
$0.36×25\% =$
$50\% ×0.8=$
$80\% ×\frac {9}{5}=$
$60\% ×\frac {7}{9}=$
$160×37.5\% =$
$75\% ×\frac {8}{15}=$
$\frac {5}{7}×84\% =$
$\frac {2}{3}×15\% =$
$60\% ×\frac {2}{3}=$
$\frac {5}{8}×25\% =$
$145\% ×2=$
$20\% ×\frac {9}{4}=$
$9×75\% =$
$87.5\% ×2=$
$\frac {2}{9}×5\% =$
$\frac {5}{6}×30\% =$
$\frac {5}{7}×20\% =$
$90\% ×60\% =$
$\frac {3}{8}×160\% =$
$24\% ×8=$
$69\% ×\frac {100}{23}=$
3
$0.36×25\% =$
0.09
$50\% ×0.8=$
0.4
$80\% ×\frac {9}{5}=$
1.44
$60\% ×\frac {7}{9}=$
$\frac{7}{15}$
$160×37.5\% =$
60
$75\% ×\frac {8}{15}=$
$\frac{2}{5}$
$\frac {5}{7}×84\% =$
$\frac{3}{5}$
$\frac {2}{3}×15\% =$
0.1
$60\% ×\frac {2}{3}=$
0.4
$\frac {5}{8}×25\% =$
$\frac{5}{32}$
$145\% ×2=$
2.9
$20\% ×\frac {9}{4}=$
0.45
$9×75\% =$
6.75
$87.5\% ×2=$
1.75
$\frac {2}{9}×5\% =$
$\frac{1}{90}$
$\frac {5}{6}×30\% =$
0.25
$\frac {5}{7}×20\% =$
$\frac{1}{7}$
$90\% ×60\% =$
0.54
$\frac {3}{8}×160\% =$
0.6
$24\% ×8=$
1.92
答案
一、口算。
$69\% ×\frac {100}{23}= 3$
$0.36×25\% = 0.09$
$50\% ×0.8= 0.4$
$80\% ×\frac {9}{5}= \frac{3.6}{2.5} = \frac{36}{25} =1.44$
$60\% ×\frac {7}{9}= \frac{21}{45} =\frac{7}{15}$
$160×37.5\% = 60$
$75\% ×\frac {8}{15}= \frac{6}{15} =\frac{2}{5}$
$\frac {5}{7}×84\% = \frac{5}{7} × \frac{84}{100} =\frac{3}{5}$
$\frac {2}{3}×15\% = 0.1$
$60\% ×\frac {2}{3}= 0.4$
$\frac {5}{8}×25\% = \frac{5}{32}$
$145\% ×2= 2.9$
$20\% ×\frac {9}{4}= 0.45$
$9×75\% = 6.75$
$87.5\% ×2= 1.75$
$\frac {2}{9}×5\% = \frac{1}{90}$
$\frac {5}{6}×30\% = 0.25$
$\frac {5}{7}×20\% = \frac{1}{7}$
$90\% ×60\% = 0.54$
$\frac {3}{8}×160\% = 0.6$
$24\% ×8= 1.92$
$69\% ×\frac {100}{23}= 3$
$0.36×25\% = 0.09$
$50\% ×0.8= 0.4$
$80\% ×\frac {9}{5}= \frac{3.6}{2.5} = \frac{36}{25} =1.44$
$60\% ×\frac {7}{9}= \frac{21}{45} =\frac{7}{15}$
$160×37.5\% = 60$
$75\% ×\frac {8}{15}= \frac{6}{15} =\frac{2}{5}$
$\frac {5}{7}×84\% = \frac{5}{7} × \frac{84}{100} =\frac{3}{5}$
$\frac {2}{3}×15\% = 0.1$
$60\% ×\frac {2}{3}= 0.4$
$\frac {5}{8}×25\% = \frac{5}{32}$
$145\% ×2= 2.9$
$20\% ×\frac {9}{4}= 0.45$
$9×75\% = 6.75$
$87.5\% ×2= 1.75$
$\frac {2}{9}×5\% = \frac{1}{90}$
$\frac {5}{6}×30\% = 0.25$
$\frac {5}{7}×20\% = \frac{1}{7}$
$90\% ×60\% = 0.54$
$\frac {3}{8}×160\% = 0.6$
$24\% ×8= 1.92$
二、计算下面各题,怎样简便就怎样计算。
$\frac {3}{10}×33-\frac {3}{10}×3$
$(\frac {2}{3}+\frac {1}{3}÷3)÷\frac {3}{4}$
$18-18×\frac {29}{30}$
$(\frac {5}{6}-\frac {3}{7}+\frac {9}{14})×42$
$\frac {1}{6}÷[1÷(\frac {3}{5}-\frac {3}{10})]$
$[(\frac {1}{2}-\frac {1}{3})×\frac {4}{15}]×\frac {5}{9}$
$\frac {3}{10}×33-\frac {3}{10}×3$
$(\frac {2}{3}+\frac {1}{3}÷3)÷\frac {3}{4}$
$18-18×\frac {29}{30}$
$(\frac {5}{6}-\frac {3}{7}+\frac {9}{14})×42$
$\frac {1}{6}÷[1÷(\frac {3}{5}-\frac {3}{10})]$
$[(\frac {1}{2}-\frac {1}{3})×\frac {4}{15}]×\frac {5}{9}$
答案
解析:本题可根据四则运算的运算顺序以及乘法分配律、结合律等运算定律进行简便计算。
1. 对于$\frac {3}{10}×33 - \frac {3}{10}×3$,可利用乘法分配律的逆运算$a× c - b× c=(a - b)× c$进行简便计算。
2. 对于$(\frac {2}{3}+\frac {1}{3}÷3)÷\frac {3}{4}$,先算括号内的除法,再算括号内的加法,最后算括号外的除法。
3. 对于$18 - 18×\frac {29}{30}$,可利用乘法分配律的逆运算$a - a× b=a×(1 - b)$进行简便计算。
4. 对于$(\frac {5}{6}-\frac {3}{7}+\frac {9}{14})×42$,可利用乘法分配律$(a + b + c)× d=a× d + b× d + c× d$进行简便计算。
5. 对于$\frac {1}{6}÷[1÷(\frac {3}{5}-\frac {3}{10})]$,先算小括号内的减法,再算中括号内的除法,最后算括号外的除法。
6. 对于$[(\frac {1}{2}-\frac {1}{3})×\frac {4}{15}]×\frac {5}{9}$,先算小括号内的减法,再算中括号内的乘法,最后算括号外的乘法。
答案:
$\frac {3}{10}×33 - \frac {3}{10}×3$
$=\frac {3}{10}×(33 - 3)$
$=\frac {3}{10}×30$
$=9$
$(\frac {2}{3}+\frac {1}{3}÷3)÷\frac {3}{4}$
$=(\frac {2}{3}+\frac {1}{9})÷\frac {3}{4}$
$=(\frac {6}{9}+\frac {1}{9})÷\frac {3}{4}$
$=\frac {7}{9}×\frac {4}{3}$
$=\frac {28}{27}$
$18 - 18×\frac {29}{30}$
$=18×(1 - \frac {29}{30})$
$=18×\frac {1}{30}$
$=\frac {3}{5}$
$(\frac {5}{6}-\frac {3}{7}+\frac {9}{14})×42$
$=\frac {5}{6}×42 - \frac {3}{7}×42+\frac {9}{14}×42$
$=35 - 18 + 27$
$=17 + 27$
$=44$
$\frac {1}{6}÷[1÷(\frac {3}{5}-\frac {3}{10})]$
$=\frac {1}{6}÷[1÷(\frac {6}{10}-\frac {3}{10})]$
$=\frac {1}{6}÷(1÷\frac {3}{10})$
$=\frac {1}{6}÷\frac {10}{3}$
$=\frac {1}{6}×\frac {3}{10}$
$=\frac {1}{20}$
$[(\frac {1}{2}-\frac {1}{3})×\frac {4}{15}]×\frac {5}{9}$
$=[\frac {1}{6}×\frac {4}{15}]×\frac {5}{9}$
$=\frac {2}{45}×\frac {5}{9}$
$=\frac {2}{81}$
1. 对于$\frac {3}{10}×33 - \frac {3}{10}×3$,可利用乘法分配律的逆运算$a× c - b× c=(a - b)× c$进行简便计算。
2. 对于$(\frac {2}{3}+\frac {1}{3}÷3)÷\frac {3}{4}$,先算括号内的除法,再算括号内的加法,最后算括号外的除法。
3. 对于$18 - 18×\frac {29}{30}$,可利用乘法分配律的逆运算$a - a× b=a×(1 - b)$进行简便计算。
4. 对于$(\frac {5}{6}-\frac {3}{7}+\frac {9}{14})×42$,可利用乘法分配律$(a + b + c)× d=a× d + b× d + c× d$进行简便计算。
5. 对于$\frac {1}{6}÷[1÷(\frac {3}{5}-\frac {3}{10})]$,先算小括号内的减法,再算中括号内的除法,最后算括号外的除法。
6. 对于$[(\frac {1}{2}-\frac {1}{3})×\frac {4}{15}]×\frac {5}{9}$,先算小括号内的减法,再算中括号内的乘法,最后算括号外的乘法。
答案:
$\frac {3}{10}×33 - \frac {3}{10}×3$
$=\frac {3}{10}×(33 - 3)$
$=\frac {3}{10}×30$
$=9$
$(\frac {2}{3}+\frac {1}{3}÷3)÷\frac {3}{4}$
$=(\frac {2}{3}+\frac {1}{9})÷\frac {3}{4}$
$=(\frac {6}{9}+\frac {1}{9})÷\frac {3}{4}$
$=\frac {7}{9}×\frac {4}{3}$
$=\frac {28}{27}$
$18 - 18×\frac {29}{30}$
$=18×(1 - \frac {29}{30})$
$=18×\frac {1}{30}$
$=\frac {3}{5}$
$(\frac {5}{6}-\frac {3}{7}+\frac {9}{14})×42$
$=\frac {5}{6}×42 - \frac {3}{7}×42+\frac {9}{14}×42$
$=35 - 18 + 27$
$=17 + 27$
$=44$
$\frac {1}{6}÷[1÷(\frac {3}{5}-\frac {3}{10})]$
$=\frac {1}{6}÷[1÷(\frac {6}{10}-\frac {3}{10})]$
$=\frac {1}{6}÷(1÷\frac {3}{10})$
$=\frac {1}{6}÷\frac {10}{3}$
$=\frac {1}{6}×\frac {3}{10}$
$=\frac {1}{20}$
$[(\frac {1}{2}-\frac {1}{3})×\frac {4}{15}]×\frac {5}{9}$
$=[\frac {1}{6}×\frac {4}{15}]×\frac {5}{9}$
$=\frac {2}{45}×\frac {5}{9}$
$=\frac {2}{81}$
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