一、口算。
$8.8+2.2=$
$8.1÷0.3=$
$4.1-1.04=$
$12.5×0.08=$
$9.4×0.2=$
$2.1÷0.7=$
$\frac {3}{10}+\frac {1}{2}=$
$\frac {3}{4}-\frac {7}{20}=$
$8.8+2.2=$
11
$2.5×5=$12.5
$8.4÷0.4=$21
$8.1÷0.3=$
27
$1.5÷0.3=$5
$4.2+3.08=$7.28
$4.1-1.04=$
3.06
$16.3×0.2=$3.26
$32.4÷60=$0.54
$12.5×0.08=$
1
$4.5÷0.9=$5
$1.2×0.7=$0.84
$9.4×0.2=$
1.88
$23.7×0.01=$0.237
$7.75+1.25=$9
$2.1÷0.7=$
3
$0.5-0.12=$0.38
$4.8÷0.16=$30
$\frac {3}{10}+\frac {1}{2}=$
$\frac{4}{5}$
$\frac {3}{4}-\frac {1}{6}=$$\frac{7}{12}$
$\frac {7}{8}-\frac {1}{7}=$$\frac{41}{56}$
$\frac {3}{4}-\frac {7}{20}=$
$\frac{2}{5}$
$\frac {1}{9}+\frac {5}{6}=$$\frac{17}{18}$
$\frac {4}{7}+\frac {4}{9}=$$\frac{64}{63}$
答案
$8.8+2.2=11$
$2.5×5=12.5$
$8.4÷0.4=21$
$8.1÷0.3=27$
$1.5÷0.3=5$
$4.2+3.08=7.28$
$4.1-1.04=3.06$
$16.3×0.2=3.26$
$32.4÷60=0.54$
$12.5×0.08=1$
$4.5÷0.9=5$
$1.2×0.7=0.84$
$9.4×0.2=1.88$
$23.7×0.01=0.237$
$7.75+1.25=9$
$2.1÷0.7=3$
$0.5-0.12=0.38$
$4.8÷0.16=30$
$\frac{3}{10}+\frac{1}{2}=\frac{4}{5}$
$\frac{3}{4}-\frac{1}{6}=\frac{7}{12}$
$\frac{7}{8}-\frac{1}{7}=\frac{41}{56}$
$\frac{3}{4}-\frac{7}{20}=\frac{2}{5}$
$\frac{1}{9}+\frac{5}{6}=\frac{17}{18}$
$\frac{4}{7}+\frac{4}{9}=\frac{64}{63}$
$2.5×5=12.5$
$8.4÷0.4=21$
$8.1÷0.3=27$
$1.5÷0.3=5$
$4.2+3.08=7.28$
$4.1-1.04=3.06$
$16.3×0.2=3.26$
$32.4÷60=0.54$
$12.5×0.08=1$
$4.5÷0.9=5$
$1.2×0.7=0.84$
$9.4×0.2=1.88$
$23.7×0.01=0.237$
$7.75+1.25=9$
$2.1÷0.7=3$
$0.5-0.12=0.38$
$4.8÷0.16=30$
$\frac{3}{10}+\frac{1}{2}=\frac{4}{5}$
$\frac{3}{4}-\frac{1}{6}=\frac{7}{12}$
$\frac{7}{8}-\frac{1}{7}=\frac{41}{56}$
$\frac{3}{4}-\frac{7}{20}=\frac{2}{5}$
$\frac{1}{9}+\frac{5}{6}=\frac{17}{18}$
$\frac{4}{7}+\frac{4}{9}=\frac{64}{63}$
解析
二、计算下面各题,怎样简便就怎样计算。
$9.7-2.36-5.64$ $570÷2.5×4+88$ $40.5÷0.81-0.875×32$
$1.5×9.9+15×0.01$ $8.5+(3.5-0.75)×4$ $(11.1÷32)÷(1.25÷4)$
$9.7-2.36-5.64$ $570÷2.5×4+88$ $40.5÷0.81-0.875×32$
$1.5×9.9+15×0.01$ $8.5+(3.5-0.75)×4$ $(11.1÷32)÷(1.25÷4)$
答案
1. 计算$9.7 - 2.36 - 5.64$:
解:根据减法的性质$a - b - c=a-(b + c)$,则$9.7−2.36−5.64 = 9.7-(2.36 + 5.64)$
$=9.7 - 8$
$=1.7$
2. 计算$570÷2.5×4 + 88$:
解:$570÷2.5×4+88=(570×4)÷(2.5×4)×4 + 88$(这里$570÷2.5=(570×4)÷(2.5×4)=2280÷10 = 228$)
$=228×4+88$
$=912 + 88$
$=1000$
3. 计算$40.5÷0.81-0.875×32$:
解:$40.5÷0.81-0.875×32 = 50-0.875×8×4$
$=50 - 7×4$
$=50-28$
$=22$
4. 计算$1.5×9.9 + 15×0.01$:
解:$1.5×9.9+15×0.01=1.5×9.9+1.5×0.1$(根据积不变规律$15×0.01 = 1.5×0.1$)
根据乘法分配律$a× c + b× c=(a + b)× c$,这里$a = 9.9$,$b = 0.1$,$c = 1.5$
$=1.5×(9.9 + 0.1)$
$=1.5×10$
$=15$
5. 计算$8.5+(3.5 - 0.75)×4$:
解:根据乘法分配律$(a - b)× c=a× c - b× c$,这里$a = 3.5$,$b = 0.75$,$c = 4$
$8.5+(3.5 - 0.75)×4=8.5+(3.5×4-0.75×4)$
$=8.5+(14 - 3)$
$=8.5 + 11$
$=19.5$
6. 计算$(11.1÷32)÷(1.25÷4)$:
解:根据除法的性质$a÷ b÷ c=a÷(b× c)$,则$(11.1÷32)÷(1.25÷4)=11.1÷32÷1.25×4$
$=11.1÷(32×1.25)×4$
$=11.1÷(4×8×1.25)×4$
$=11.1÷(4×10)×4$
$=11.1÷40×4$
$=11.1×(4÷40)$
$=11.1×0.1$
$=1.11$
综上,答案依次为$1.7$;$1000$;$22$;$15$;$19.5$;$1.11$。
解:根据减法的性质$a - b - c=a-(b + c)$,则$9.7−2.36−5.64 = 9.7-(2.36 + 5.64)$
$=9.7 - 8$
$=1.7$
2. 计算$570÷2.5×4 + 88$:
解:$570÷2.5×4+88=(570×4)÷(2.5×4)×4 + 88$(这里$570÷2.5=(570×4)÷(2.5×4)=2280÷10 = 228$)
$=228×4+88$
$=912 + 88$
$=1000$
3. 计算$40.5÷0.81-0.875×32$:
解:$40.5÷0.81-0.875×32 = 50-0.875×8×4$
$=50 - 7×4$
$=50-28$
$=22$
4. 计算$1.5×9.9 + 15×0.01$:
解:$1.5×9.9+15×0.01=1.5×9.9+1.5×0.1$(根据积不变规律$15×0.01 = 1.5×0.1$)
根据乘法分配律$a× c + b× c=(a + b)× c$,这里$a = 9.9$,$b = 0.1$,$c = 1.5$
$=1.5×(9.9 + 0.1)$
$=1.5×10$
$=15$
5. 计算$8.5+(3.5 - 0.75)×4$:
解:根据乘法分配律$(a - b)× c=a× c - b× c$,这里$a = 3.5$,$b = 0.75$,$c = 4$
$8.5+(3.5 - 0.75)×4=8.5+(3.5×4-0.75×4)$
$=8.5+(14 - 3)$
$=8.5 + 11$
$=19.5$
6. 计算$(11.1÷32)÷(1.25÷4)$:
解:根据除法的性质$a÷ b÷ c=a÷(b× c)$,则$(11.1÷32)÷(1.25÷4)=11.1÷32÷1.25×4$
$=11.1÷(32×1.25)×4$
$=11.1÷(4×8×1.25)×4$
$=11.1÷(4×10)×4$
$=11.1÷40×4$
$=11.1×(4÷40)$
$=11.1×0.1$
$=1.11$
综上,答案依次为$1.7$;$1000$;$22$;$15$;$19.5$;$1.11$。
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