直接写出得数。
$7.28÷7=$ $19×2=$ $43÷0.01=$ $2.48÷4=$
$0.32+1.68=$ $0.39+0.61=$ $155÷5=$ $700÷0.7=$
$120×600=$ $0.3×0.3=$ $3.7×0=$ $23×3=$
$56÷14=$ $96÷24=$ $30×23=$ $840÷20=$
$1.63+0.07=$ $7.1-3.01=$ $3.4÷0.2=$ $4×13÷4=$
$\frac{3}{4}-\frac{1}{6}=$ $\frac{1}{5}+\frac{1}{3}=$ $\frac{5}{8}-\frac{1}{2}=$ $0.2+\frac{3}{5}=$
$0.75+\frac{1}{4}=$ $2+\frac{5}{7}=$ $0.5-\frac{1}{2}=$ $\frac{7}{4}-\frac{1}{2}=$
$2-\frac{2}{11}=$ $\frac{1}{12}+\frac{5}{12}=$ $0.875-\frac{1}{8}=$ $1-\frac{9}{11}=$
$1-\frac{1}{3}=$ $\frac{1}{6}-\frac{1}{7}=$ $\frac{2}{9}+\frac{1}{3}=$ $\frac{1}{2}+\frac{1}{5}=$
$\frac{3}{7}-\frac{3}{11}=$ $\frac{5}{16}-\frac{1}{8}=$ $\frac{16}{5}-2=$ $\frac{3}{4}+\frac{1}{16}=$
$\frac{2}{3}-\frac{1}{5}=$ $\frac{3}{7}-\frac{1}{5}=$ $\frac{3}{11}+\frac{7}{22}=$ $\frac{1}{2}+\frac{1}{2}-\frac{1}{3}=$
$\frac{5}{9}-\frac{1}{10}=$ $\frac{5}{8}+\frac{1}{2}=$ $\frac{2}{3}-\frac{5}{12}=$ $1-\frac{1}{4}+\frac{1}{3}=$
$300\ \mathrm{cm}^3=(\quad)\mathrm{dm}^3$ $1.01\ \mathrm{m}^3=(\quad)\mathrm{cm}^3$ $9.71\ \mathrm{dm}^3=(\quad)\mathrm{cm}^3$
$6.7\ \mathrm{m}^3=(\quad)\mathrm{dm}^3$ $5040\ \mathrm{cm}^3=(\quad)\mathrm{dm}^3$ $200\ \mathrm{cm}^2=(\quad)\mathrm{dm}^2$
$3\ \mathrm{dm}^3=(\quad)\mathrm{cm}^3$ $4\ \mathrm{m}^3=(\quad)\mathrm{dm}^3$ $3.12\ \mathrm{m}=(\quad)\mathrm{dm}$
$5.35\ \mathrm{dm}^3=(\quad)\mathrm{dm}^3(\quad)\mathrm{cm}^3$ $70\ \mathrm{dm}^3=(\quad)\mathrm{cm}^3=(\quad)\mathrm{m}^3$
$12\ \mathrm{dm}^3=(\quad)\mathrm{cm}^3=(\quad)\mathrm{m}^3$ $5\ \mathrm{m}^350\ \mathrm{dm}^3=(\quad)\mathrm{m}^3$
$0.09\ \mathrm{m}^3=(\quad)\mathrm{dm}^3=(\quad)\mathrm{cm}^3$ $4.05\ \mathrm{m}^2=(\quad)\mathrm{m}^2(\quad)\mathrm{dm}^2$
$9.78\ \mathrm{dm}^3=(\quad)\mathrm{dm}^3(\quad)\mathrm{cm}^3$ $6.39\ \mathrm{m}=(\quad)\mathrm{dm}=(\quad)\mathrm{cm}$
$7.28÷7=$ $19×2=$ $43÷0.01=$ $2.48÷4=$
$0.32+1.68=$ $0.39+0.61=$ $155÷5=$ $700÷0.7=$
$120×600=$ $0.3×0.3=$ $3.7×0=$ $23×3=$
$56÷14=$ $96÷24=$ $30×23=$ $840÷20=$
$1.63+0.07=$ $7.1-3.01=$ $3.4÷0.2=$ $4×13÷4=$
$\frac{3}{4}-\frac{1}{6}=$ $\frac{1}{5}+\frac{1}{3}=$ $\frac{5}{8}-\frac{1}{2}=$ $0.2+\frac{3}{5}=$
$0.75+\frac{1}{4}=$ $2+\frac{5}{7}=$ $0.5-\frac{1}{2}=$ $\frac{7}{4}-\frac{1}{2}=$
$2-\frac{2}{11}=$ $\frac{1}{12}+\frac{5}{12}=$ $0.875-\frac{1}{8}=$ $1-\frac{9}{11}=$
$1-\frac{1}{3}=$ $\frac{1}{6}-\frac{1}{7}=$ $\frac{2}{9}+\frac{1}{3}=$ $\frac{1}{2}+\frac{1}{5}=$
$\frac{3}{7}-\frac{3}{11}=$ $\frac{5}{16}-\frac{1}{8}=$ $\frac{16}{5}-2=$ $\frac{3}{4}+\frac{1}{16}=$
$\frac{2}{3}-\frac{1}{5}=$ $\frac{3}{7}-\frac{1}{5}=$ $\frac{3}{11}+\frac{7}{22}=$ $\frac{1}{2}+\frac{1}{2}-\frac{1}{3}=$
$\frac{5}{9}-\frac{1}{10}=$ $\frac{5}{8}+\frac{1}{2}=$ $\frac{2}{3}-\frac{5}{12}=$ $1-\frac{1}{4}+\frac{1}{3}=$
$300\ \mathrm{cm}^3=(\quad)\mathrm{dm}^3$ $1.01\ \mathrm{m}^3=(\quad)\mathrm{cm}^3$ $9.71\ \mathrm{dm}^3=(\quad)\mathrm{cm}^3$
$6.7\ \mathrm{m}^3=(\quad)\mathrm{dm}^3$ $5040\ \mathrm{cm}^3=(\quad)\mathrm{dm}^3$ $200\ \mathrm{cm}^2=(\quad)\mathrm{dm}^2$
$3\ \mathrm{dm}^3=(\quad)\mathrm{cm}^3$ $4\ \mathrm{m}^3=(\quad)\mathrm{dm}^3$ $3.12\ \mathrm{m}=(\quad)\mathrm{dm}$
$5.35\ \mathrm{dm}^3=(\quad)\mathrm{dm}^3(\quad)\mathrm{cm}^3$ $70\ \mathrm{dm}^3=(\quad)\mathrm{cm}^3=(\quad)\mathrm{m}^3$
$12\ \mathrm{dm}^3=(\quad)\mathrm{cm}^3=(\quad)\mathrm{m}^3$ $5\ \mathrm{m}^350\ \mathrm{dm}^3=(\quad)\mathrm{m}^3$
$0.09\ \mathrm{m}^3=(\quad)\mathrm{dm}^3=(\quad)\mathrm{cm}^3$ $4.05\ \mathrm{m}^2=(\quad)\mathrm{m}^2(\quad)\mathrm{dm}^2$
$9.78\ \mathrm{dm}^3=(\quad)\mathrm{dm}^3(\quad)\mathrm{cm}^3$ $6.39\ \mathrm{m}=(\quad)\mathrm{dm}=(\quad)\mathrm{cm}$
答案
$7.28÷7=1.04$
$19×2=38$
$43÷0.01=4300$
$2.48÷4=0.62$
$0.32+1.68=2$
$0.39+0.61=1$
$155÷5=31$
$700÷0.7=1000$
$120×600=72000$
$0.3×0.3=0.09$
$3.7×0=0$
$23×3=69$
$56÷14=4$
$96÷24=4$
$30×23=690$
$840÷20=42$
$1.63+0.07=1.7$
$7.1-3.01=4.09$
$3.4÷0.2=17$
$4×13÷4=13$
$\frac{3}{4}-\frac{1}{6}=\frac{7}{12}$
$\frac{1}{5}+\frac{1}{3}=\frac{8}{15}$
$\frac{5}{8}-\frac{1}{2}=\frac{1}{8}$
$0.2+\frac{3}{5}=\frac{4}{5}$
$0.75+\frac{1}{4}=1$
$2+\frac{5}{7}=2\frac{5}{7}$
$0.5-\frac{1}{2}=0$
$\frac{7}{4}-\frac{1}{2}=\frac{5}{4}$
$2-\frac{2}{11}=1\frac{9}{11}$
$\frac{1}{12}+\frac{5}{12}=\frac{1}{2}$
$0.875-\frac{1}{8}=\frac{3}{4}$
$1-\frac{9}{11}=\frac{2}{11}$
$1-\frac{1}{3}=\frac{2}{3}$
$\frac{1}{6}-\frac{1}{7}=\frac{1}{42}$
$\frac{2}{9}+\frac{1}{3}=\frac{5}{9}$
$\frac{1}{2}+\frac{1}{5}=\frac{7}{10}$
$\frac{3}{7}-\frac{3}{11}=\frac{12}{77}$
$\frac{5}{16}-\frac{1}{8}=\frac{3}{16}$
$\frac{16}{5}-2=\frac{6}{5}$
$\frac{3}{4}+\frac{1}{16}=\frac{13}{16}$
$\frac{2}{3}-\frac{1}{5}=\frac{7}{15}$
$\frac{3}{7}-\frac{1}{5}=\frac{8}{35}$
$\frac{3}{11}+\frac{7}{22}=\frac{13}{22}$
$\frac{1}{2}+\frac{1}{2}-\frac{1}{3}=\frac{2}{3}$
$\frac{5}{9}-\frac{1}{10}=\frac{41}{90}$
$\frac{5}{8}+\frac{1}{2}=\frac{9}{8}$
$\frac{2}{3}-\frac{5}{12}=\frac{1}{4}$
$1-\frac{1}{4}+\frac{1}{3}=\frac{13}{12}$
$300\ \mathrm{cm}^3=0.3\mathrm{dm}^3$
$1.01\ \mathrm{m}^3=1010000\mathrm{cm}^3$
$9.71\ \mathrm{dm}^3=9710\mathrm{cm}^3$
$6.7\ \mathrm{m}^3=6700\mathrm{dm}^3$
$5040\ \mathrm{cm}^3=5.04\mathrm{dm}^3$
$200\ \mathrm{cm}^2=2\mathrm{dm}^2$
$3\ \mathrm{dm}^3=3000\mathrm{cm}^3$
$4\ \mathrm{m}^3=4000\mathrm{dm}^3$
$3.12\ \mathrm{m}=31.2\mathrm{dm}$
$5.35\ \mathrm{dm}^3=5\mathrm{dm}^3350\mathrm{cm}^3$
$70\ \mathrm{dm}^3=70000\mathrm{cm}^3=0.07\mathrm{m}^3$
$12\ \mathrm{dm}^3=12000\mathrm{cm}^3=0.012\mathrm{m}^3$
$5\ \mathrm{m}^350\ \mathrm{dm}^3=5.05\mathrm{m}^3$
$0.09\ \mathrm{m}^3=90\mathrm{dm}^3=90000\mathrm{cm}^3$
$4.05\ \mathrm{m}^2=4\mathrm{m}^25\mathrm{dm}^2$
$9.78\ \mathrm{dm}^3=9\mathrm{dm}^3780\mathrm{cm}^3$
$6.39\ \mathrm{m}=63.9\mathrm{dm}=639\mathrm{cm}$
$19×2=38$
$43÷0.01=4300$
$2.48÷4=0.62$
$0.32+1.68=2$
$0.39+0.61=1$
$155÷5=31$
$700÷0.7=1000$
$120×600=72000$
$0.3×0.3=0.09$
$3.7×0=0$
$23×3=69$
$56÷14=4$
$96÷24=4$
$30×23=690$
$840÷20=42$
$1.63+0.07=1.7$
$7.1-3.01=4.09$
$3.4÷0.2=17$
$4×13÷4=13$
$\frac{3}{4}-\frac{1}{6}=\frac{7}{12}$
$\frac{1}{5}+\frac{1}{3}=\frac{8}{15}$
$\frac{5}{8}-\frac{1}{2}=\frac{1}{8}$
$0.2+\frac{3}{5}=\frac{4}{5}$
$0.75+\frac{1}{4}=1$
$2+\frac{5}{7}=2\frac{5}{7}$
$0.5-\frac{1}{2}=0$
$\frac{7}{4}-\frac{1}{2}=\frac{5}{4}$
$2-\frac{2}{11}=1\frac{9}{11}$
$\frac{1}{12}+\frac{5}{12}=\frac{1}{2}$
$0.875-\frac{1}{8}=\frac{3}{4}$
$1-\frac{9}{11}=\frac{2}{11}$
$1-\frac{1}{3}=\frac{2}{3}$
$\frac{1}{6}-\frac{1}{7}=\frac{1}{42}$
$\frac{2}{9}+\frac{1}{3}=\frac{5}{9}$
$\frac{1}{2}+\frac{1}{5}=\frac{7}{10}$
$\frac{3}{7}-\frac{3}{11}=\frac{12}{77}$
$\frac{5}{16}-\frac{1}{8}=\frac{3}{16}$
$\frac{16}{5}-2=\frac{6}{5}$
$\frac{3}{4}+\frac{1}{16}=\frac{13}{16}$
$\frac{2}{3}-\frac{1}{5}=\frac{7}{15}$
$\frac{3}{7}-\frac{1}{5}=\frac{8}{35}$
$\frac{3}{11}+\frac{7}{22}=\frac{13}{22}$
$\frac{1}{2}+\frac{1}{2}-\frac{1}{3}=\frac{2}{3}$
$\frac{5}{9}-\frac{1}{10}=\frac{41}{90}$
$\frac{5}{8}+\frac{1}{2}=\frac{9}{8}$
$\frac{2}{3}-\frac{5}{12}=\frac{1}{4}$
$1-\frac{1}{4}+\frac{1}{3}=\frac{13}{12}$
$300\ \mathrm{cm}^3=0.3\mathrm{dm}^3$
$1.01\ \mathrm{m}^3=1010000\mathrm{cm}^3$
$9.71\ \mathrm{dm}^3=9710\mathrm{cm}^3$
$6.7\ \mathrm{m}^3=6700\mathrm{dm}^3$
$5040\ \mathrm{cm}^3=5.04\mathrm{dm}^3$
$200\ \mathrm{cm}^2=2\mathrm{dm}^2$
$3\ \mathrm{dm}^3=3000\mathrm{cm}^3$
$4\ \mathrm{m}^3=4000\mathrm{dm}^3$
$3.12\ \mathrm{m}=31.2\mathrm{dm}$
$5.35\ \mathrm{dm}^3=5\mathrm{dm}^3350\mathrm{cm}^3$
$70\ \mathrm{dm}^3=70000\mathrm{cm}^3=0.07\mathrm{m}^3$
$12\ \mathrm{dm}^3=12000\mathrm{cm}^3=0.012\mathrm{m}^3$
$5\ \mathrm{m}^350\ \mathrm{dm}^3=5.05\mathrm{m}^3$
$0.09\ \mathrm{m}^3=90\mathrm{dm}^3=90000\mathrm{cm}^3$
$4.05\ \mathrm{m}^2=4\mathrm{m}^25\mathrm{dm}^2$
$9.78\ \mathrm{dm}^3=9\mathrm{dm}^3780\mathrm{cm}^3$
$6.39\ \mathrm{m}=63.9\mathrm{dm}=639\mathrm{cm}$
解析
【分析】
本题包含小数四则运算、分数加减法及单位换算三类基础计算。解题思路:①小数运算遵循小数四则运算法则,注意小数点的位置;②分数加减法先通分,转化为同分母分数后再计算,结果需化为最简分数;③单位换算需牢记各单位间的进率,高级单位化低级单位乘进率,低级单位化高级单位除以进率。
【解析】
1. 小数运算:
$7.28÷7=1.04$(7÷7=1,0.28÷7=0.04,组合得1.04);
$19×2=38$;
$43÷0.01=43×100=4300$;
$2.48÷4=0.62$(2÷4=0.5,0.48÷4=0.12,组合得0.62);
$0.32+1.68=2$;
$0.39+0.61=1$;
$155÷5=31$;
$700÷0.7=1000$;
$120×600=72000$;
$0.3×0.3=0.09$;
$3.7×0=0$;
$23×3=69$;
$56÷14=4$;
$96÷24=4$;
$30×23=690$;
$840÷20=42$;
$1.63+0.07=1.7$;
$7.1-3.01=4.09$;
$3.4÷0.2=17$;
$4×13÷4=13$(交换位置先算4÷4=1,再乘13得13)。
2. 分数加减法:
$\frac{3}{4}-\frac{1}{6}=\frac{9}{12}-\frac{2}{12}=\frac{7}{12}$;
$\frac{1}{5}+\frac{1}{3}=\frac{3}{15}+\frac{5}{15}=\frac{8}{15}$;
$\frac{5}{8}-\frac{1}{2}=\frac{5}{8}-\frac{4}{8}=\frac{1}{8}$;
$0.2+\frac{3}{5}=\frac{1}{5}+\frac{3}{5}=\frac{4}{5}$;
$0.75+\frac{1}{4}=\frac{3}{4}+\frac{1}{4}=1$;
$2+\frac{5}{7}=2\frac{5}{7}$;
$0.5-\frac{1}{2}=\frac{1}{2}-\frac{1}{2}=0$;
$\frac{7}{4}-\frac{1}{2}=\frac{7}{4}-\frac{2}{4}=\frac{5}{4}$;
$2-\frac{2}{11}=1\frac{9}{11}$;
$\frac{1}{12}+\frac{5}{12}=\frac{6}{12}=\frac{1}{2}$;
$0.875-\frac{1}{8}=\frac{7}{8}-\frac{1}{8}=\frac{6}{8}=\frac{3}{4}$;
$1-\frac{9}{11}=\frac{2}{11}$;
$1-\frac{1}{3}=\frac{2}{3}$;
$\frac{1}{6}-\frac{1}{7}=\frac{7}{42}-\frac{6}{42}=\frac{1}{42}$;
$\frac{2}{9}+\frac{1}{3}=\frac{2}{9}+\frac{3}{9}=\frac{5}{9}$;
$\frac{1}{2}+\frac{1}{5}=\frac{5}{10}+\frac{2}{10}=\frac{7}{10}$;
$\frac{3}{7}-\frac{3}{11}=\frac{33}{77}-\frac{21}{77}=\frac{12}{77}$;
$\frac{5}{16}-\frac{1}{8}=\frac{5}{16}-\frac{2}{16}=\frac{3}{16}$;
$\frac{16}{5}-2=\frac{16}{5}-\frac{10}{5}=\frac{6}{5}$;
$\frac{3}{4}+\frac{1}{16}=\frac{12}{16}+\frac{1}{16}=\frac{13}{16}$;
$\frac{2}{3}-\frac{1}{5}=\frac{10}{15}-\frac{3}{15}=\frac{7}{15}$;
$\frac{3}{7}-\frac{1}{5}=\frac{15}{35}-\frac{7}{35}=\frac{8}{35}$;
$\frac{3}{11}+\frac{7}{22}=\frac{6}{22}+\frac{7}{22}=\frac{13}{22}$;
$\frac{1}{2}+\frac{1}{2}-\frac{1}{3}=1-\frac{1}{3}=\frac{2}{3}$;
$\frac{5}{9}-\frac{1}{10}=\frac{50}{90}-\frac{9}{90}=\frac{41}{90}$;
$\frac{5}{8}+\frac{1}{2}=\frac{5}{8}+\frac{4}{8}=\frac{9}{8}$;
$\frac{2}{3}-\frac{5}{12}=\frac{8}{12}-\frac{5}{12}=\frac{1}{4}$;
$1-\frac{1}{4}+\frac{1}{3}=\frac{12}{12}-\frac{3}{12}+\frac{4}{12}=\frac{13}{12}$。
3. 单位换算:
$300\ \mathrm{cm}^3=300÷1000=0.3\ \mathrm{dm}^3$(1dm³=1000cm³);
$1.01\ \mathrm{m}^3=1.01×1000000=1010000\ \mathrm{cm}^3$(1m³=1000000cm³);
$9.71\ \mathrm{dm}^3=9.71×1000=9710\ \mathrm{cm}^3$(1dm³=1000cm³);
$6.7\ \mathrm{m}^3=6.7×1000=6700\ \mathrm{dm}^3$(1m³=1000dm³);
$5040\ \mathrm{cm}^3=5040÷1000=5.04\ \mathrm{dm}^3$;
$200\ \mathrm{cm}^2=200÷100=2\ \mathrm{dm}^2$(1dm²=100cm²);
$3\ \mathrm{dm}^3=3×1000=3000\ \mathrm{cm}^3$;
$4\ \mathrm{m}^3=4×1000=4000\ \mathrm{dm}^3$;
$3.12\ \mathrm{m}=3.12×10=31.2\ \mathrm{dm}$(1m=10dm);
$5.35\ \mathrm{dm}^3=5\ \mathrm{dm}^3 + 0.35×1000\ \mathrm{cm}^3=5\ \mathrm{dm}^3350\ \mathrm{cm}^3$;
$70\ \mathrm{dm}^3=70×1000=70000\ \mathrm{cm}^3$,$70\ \mathrm{dm}^3=70÷1000=0.07\ \mathrm{m}^3$;
$12\ \mathrm{dm}^3=12×1000=12000\ \mathrm{cm}^3$,$12\ \mathrm{dm}^3=12÷1000=0.012\ \mathrm{m}^3$;
$5\ \mathrm{m}^350\ \mathrm{dm}^3=5 + 50÷1000=5.05\ \mathrm{m}^3$;
$0.09\ \mathrm{m}^3=0.09×100=90\ \mathrm{dm}^3$,$0.09\ \mathrm{m}^3=0.09×1000000=90000\ \mathrm{cm}^3$;
$4.05\ \mathrm{m}^2=4\ \mathrm{m}^2 + 0.05×100\ \mathrm{dm}^2=4\ \mathrm{m}^25\ \mathrm{dm}^2$;
$9.78\ \mathrm{dm}^3=9\ \mathrm{dm}^3 + 0.78×1000\ \mathrm{cm}^3=9\ \mathrm{dm}^3780\ \mathrm{cm}^3$;
$6.39\ \mathrm{m}=6.39×10=63.9\ \mathrm{dm}$,$6.39\ \mathrm{m}=6.39×100=639\ \mathrm{cm}$。
【答案】
$7.28÷7=1.04$ $19×2=38$ $43÷0.01=4300$ $2.48÷4=0.62$
$0.32+1.68=2$ $0.39+0.61=1$ $155÷5=31$ $700÷0.7=1000$
$120×600=72000$ $0.3×0.3=0.09$ $3.7×0=0$ $23×3=69$
$56÷14=4$ $96÷24=4$ $30×23=690$ $840÷20=42$
$1.63+0.07=1.7$ $7.1-3.01=4.09$ $3.4÷0.2=17$ $4×13÷4=13$
$\frac{3}{4}-\frac{1}{6}=\frac{7}{12}$ $\frac{1}{5}+\frac{1}{3}=\frac{8}{15}$ $\frac{5}{8}-\frac{1}{2}=\frac{1}{8}$ $0.2+\frac{3}{5}=\frac{4}{5}$
$0.75+\frac{1}{4}=1$ $2+\frac{5}{7}=2\frac{5}{7}$ $0.5-\frac{1}{2}=0$ $\frac{7}{4}-\frac{1}{2}=\frac{5}{4}$
$2-\frac{2}{11}=1\frac{9}{11}$ $\frac{1}{12}+\frac{5}{12}=\frac{1}{2}$ $0.875-\frac{1}{8}=\frac{3}{4}$ $1-\frac{9}{11}=\frac{2}{11}$
$1-\frac{1}{3}=\frac{2}{3}$ $\frac{1}{6}-\frac{1}{7}=\frac{1}{42}$ $\frac{2}{9}+\frac{1}{3}=\frac{5}{9}$ $\frac{1}{2}+\frac{1}{5}=\frac{7}{10}$
$\frac{3}{7}-\frac{3}{11}=\frac{12}{77}$ $\frac{5}{16}-\frac{1}{8}=\frac{3}{16}$ $\frac{16}{5}-2=\frac{6}{5}$ $\frac{3}{4}+\frac{1}{16}=\frac{13}{16}$
$\frac{2}{3}-\frac{1}{5}=\frac{7}{15}$ $\frac{3}{7}-\frac{1}{5}=\frac{8}{35}$ $\frac{3}{11}+\frac{7}{22}=\frac{13}{22}$ $\frac{1}{2}+\frac{1}{2}-\frac{1}{3}=\frac{2}{3}$
$\frac{5}{9}-\frac{1}{10}=\frac{41}{90}$ $\frac{5}{8}+\frac{1}{2}=\frac{9}{8}$ $\frac{2}{3}-\frac{5}{12}=\frac{1}{4}$ $1-\frac{1}{4}+\frac{1}{3}=\frac{13}{12}$
$300\ \mathrm{cm}^3=(0.3)\mathrm{dm}^3$ $1.01\ \mathrm{m}^3=(1010000)\mathrm{cm}^3$ $9.71\ \mathrm{dm}^3=(9710)\mathrm{cm}^3$
$6.7\ \mathrm{m}^3=(6700)\mathrm{dm}^3$ $5040\ \mathrm{cm}^3=(5.04)\mathrm{dm}^3$ $200\ \mathrm{cm}^2=(2)\mathrm{dm}^2$
$3\ \mathrm{dm}^3=(3000)\mathrm{cm}^3$ $4\ \mathrm{m}^3=(4000)\mathrm{dm}^3$ $3.12\ \mathrm{m}=(31.2)\mathrm{dm}$
$5.35\ \mathrm{dm}^3=(5)\mathrm{dm}^3(350)\mathrm{cm}^3$ $70\ \mathrm{dm}^3=(70000)\mathrm{cm}^3=(0.07)\mathrm{m}^3$
$12\ \mathrm{dm}^3=(12000)\mathrm{cm}^3=(0.012)\mathrm{m}^3$ $5\ \mathrm{m}^350\ \mathrm{dm}^3=(5.05)\mathrm{m}^3$
$0.09\ \mathrm{m}^3=(90)\mathrm{dm}^3=(90000)\mathrm{cm}^3$ $4.05\ \mathrm{m}^2=(4)\mathrm{m}^2(5)\mathrm{dm}^2$
$9.78\ \mathrm{dm}^3=(9)\mathrm{dm}^3(780)\mathrm{cm}^3$ $6.39\ \mathrm{m}=(63.9)\mathrm{dm}=(639)\mathrm{cm}$
【知识点】
小数四则运算、分数加减法、单位换算
【点评】
本题为基础计算综合练习,涵盖小数运算、分数运算及常见单位换算,考查学生的基础计算能力和单位进率的掌握情况,题目难度较低,适合巩固数学基础。
【难度系数】
0.2
本题包含小数四则运算、分数加减法及单位换算三类基础计算。解题思路:①小数运算遵循小数四则运算法则,注意小数点的位置;②分数加减法先通分,转化为同分母分数后再计算,结果需化为最简分数;③单位换算需牢记各单位间的进率,高级单位化低级单位乘进率,低级单位化高级单位除以进率。
【解析】
1. 小数运算:
$7.28÷7=1.04$(7÷7=1,0.28÷7=0.04,组合得1.04);
$19×2=38$;
$43÷0.01=43×100=4300$;
$2.48÷4=0.62$(2÷4=0.5,0.48÷4=0.12,组合得0.62);
$0.32+1.68=2$;
$0.39+0.61=1$;
$155÷5=31$;
$700÷0.7=1000$;
$120×600=72000$;
$0.3×0.3=0.09$;
$3.7×0=0$;
$23×3=69$;
$56÷14=4$;
$96÷24=4$;
$30×23=690$;
$840÷20=42$;
$1.63+0.07=1.7$;
$7.1-3.01=4.09$;
$3.4÷0.2=17$;
$4×13÷4=13$(交换位置先算4÷4=1,再乘13得13)。
2. 分数加减法:
$\frac{3}{4}-\frac{1}{6}=\frac{9}{12}-\frac{2}{12}=\frac{7}{12}$;
$\frac{1}{5}+\frac{1}{3}=\frac{3}{15}+\frac{5}{15}=\frac{8}{15}$;
$\frac{5}{8}-\frac{1}{2}=\frac{5}{8}-\frac{4}{8}=\frac{1}{8}$;
$0.2+\frac{3}{5}=\frac{1}{5}+\frac{3}{5}=\frac{4}{5}$;
$0.75+\frac{1}{4}=\frac{3}{4}+\frac{1}{4}=1$;
$2+\frac{5}{7}=2\frac{5}{7}$;
$0.5-\frac{1}{2}=\frac{1}{2}-\frac{1}{2}=0$;
$\frac{7}{4}-\frac{1}{2}=\frac{7}{4}-\frac{2}{4}=\frac{5}{4}$;
$2-\frac{2}{11}=1\frac{9}{11}$;
$\frac{1}{12}+\frac{5}{12}=\frac{6}{12}=\frac{1}{2}$;
$0.875-\frac{1}{8}=\frac{7}{8}-\frac{1}{8}=\frac{6}{8}=\frac{3}{4}$;
$1-\frac{9}{11}=\frac{2}{11}$;
$1-\frac{1}{3}=\frac{2}{3}$;
$\frac{1}{6}-\frac{1}{7}=\frac{7}{42}-\frac{6}{42}=\frac{1}{42}$;
$\frac{2}{9}+\frac{1}{3}=\frac{2}{9}+\frac{3}{9}=\frac{5}{9}$;
$\frac{1}{2}+\frac{1}{5}=\frac{5}{10}+\frac{2}{10}=\frac{7}{10}$;
$\frac{3}{7}-\frac{3}{11}=\frac{33}{77}-\frac{21}{77}=\frac{12}{77}$;
$\frac{5}{16}-\frac{1}{8}=\frac{5}{16}-\frac{2}{16}=\frac{3}{16}$;
$\frac{16}{5}-2=\frac{16}{5}-\frac{10}{5}=\frac{6}{5}$;
$\frac{3}{4}+\frac{1}{16}=\frac{12}{16}+\frac{1}{16}=\frac{13}{16}$;
$\frac{2}{3}-\frac{1}{5}=\frac{10}{15}-\frac{3}{15}=\frac{7}{15}$;
$\frac{3}{7}-\frac{1}{5}=\frac{15}{35}-\frac{7}{35}=\frac{8}{35}$;
$\frac{3}{11}+\frac{7}{22}=\frac{6}{22}+\frac{7}{22}=\frac{13}{22}$;
$\frac{1}{2}+\frac{1}{2}-\frac{1}{3}=1-\frac{1}{3}=\frac{2}{3}$;
$\frac{5}{9}-\frac{1}{10}=\frac{50}{90}-\frac{9}{90}=\frac{41}{90}$;
$\frac{5}{8}+\frac{1}{2}=\frac{5}{8}+\frac{4}{8}=\frac{9}{8}$;
$\frac{2}{3}-\frac{5}{12}=\frac{8}{12}-\frac{5}{12}=\frac{1}{4}$;
$1-\frac{1}{4}+\frac{1}{3}=\frac{12}{12}-\frac{3}{12}+\frac{4}{12}=\frac{13}{12}$。
3. 单位换算:
$300\ \mathrm{cm}^3=300÷1000=0.3\ \mathrm{dm}^3$(1dm³=1000cm³);
$1.01\ \mathrm{m}^3=1.01×1000000=1010000\ \mathrm{cm}^3$(1m³=1000000cm³);
$9.71\ \mathrm{dm}^3=9.71×1000=9710\ \mathrm{cm}^3$(1dm³=1000cm³);
$6.7\ \mathrm{m}^3=6.7×1000=6700\ \mathrm{dm}^3$(1m³=1000dm³);
$5040\ \mathrm{cm}^3=5040÷1000=5.04\ \mathrm{dm}^3$;
$200\ \mathrm{cm}^2=200÷100=2\ \mathrm{dm}^2$(1dm²=100cm²);
$3\ \mathrm{dm}^3=3×1000=3000\ \mathrm{cm}^3$;
$4\ \mathrm{m}^3=4×1000=4000\ \mathrm{dm}^3$;
$3.12\ \mathrm{m}=3.12×10=31.2\ \mathrm{dm}$(1m=10dm);
$5.35\ \mathrm{dm}^3=5\ \mathrm{dm}^3 + 0.35×1000\ \mathrm{cm}^3=5\ \mathrm{dm}^3350\ \mathrm{cm}^3$;
$70\ \mathrm{dm}^3=70×1000=70000\ \mathrm{cm}^3$,$70\ \mathrm{dm}^3=70÷1000=0.07\ \mathrm{m}^3$;
$12\ \mathrm{dm}^3=12×1000=12000\ \mathrm{cm}^3$,$12\ \mathrm{dm}^3=12÷1000=0.012\ \mathrm{m}^3$;
$5\ \mathrm{m}^350\ \mathrm{dm}^3=5 + 50÷1000=5.05\ \mathrm{m}^3$;
$0.09\ \mathrm{m}^3=0.09×100=90\ \mathrm{dm}^3$,$0.09\ \mathrm{m}^3=0.09×1000000=90000\ \mathrm{cm}^3$;
$4.05\ \mathrm{m}^2=4\ \mathrm{m}^2 + 0.05×100\ \mathrm{dm}^2=4\ \mathrm{m}^25\ \mathrm{dm}^2$;
$9.78\ \mathrm{dm}^3=9\ \mathrm{dm}^3 + 0.78×1000\ \mathrm{cm}^3=9\ \mathrm{dm}^3780\ \mathrm{cm}^3$;
$6.39\ \mathrm{m}=6.39×10=63.9\ \mathrm{dm}$,$6.39\ \mathrm{m}=6.39×100=639\ \mathrm{cm}$。
【答案】
$7.28÷7=1.04$ $19×2=38$ $43÷0.01=4300$ $2.48÷4=0.62$
$0.32+1.68=2$ $0.39+0.61=1$ $155÷5=31$ $700÷0.7=1000$
$120×600=72000$ $0.3×0.3=0.09$ $3.7×0=0$ $23×3=69$
$56÷14=4$ $96÷24=4$ $30×23=690$ $840÷20=42$
$1.63+0.07=1.7$ $7.1-3.01=4.09$ $3.4÷0.2=17$ $4×13÷4=13$
$\frac{3}{4}-\frac{1}{6}=\frac{7}{12}$ $\frac{1}{5}+\frac{1}{3}=\frac{8}{15}$ $\frac{5}{8}-\frac{1}{2}=\frac{1}{8}$ $0.2+\frac{3}{5}=\frac{4}{5}$
$0.75+\frac{1}{4}=1$ $2+\frac{5}{7}=2\frac{5}{7}$ $0.5-\frac{1}{2}=0$ $\frac{7}{4}-\frac{1}{2}=\frac{5}{4}$
$2-\frac{2}{11}=1\frac{9}{11}$ $\frac{1}{12}+\frac{5}{12}=\frac{1}{2}$ $0.875-\frac{1}{8}=\frac{3}{4}$ $1-\frac{9}{11}=\frac{2}{11}$
$1-\frac{1}{3}=\frac{2}{3}$ $\frac{1}{6}-\frac{1}{7}=\frac{1}{42}$ $\frac{2}{9}+\frac{1}{3}=\frac{5}{9}$ $\frac{1}{2}+\frac{1}{5}=\frac{7}{10}$
$\frac{3}{7}-\frac{3}{11}=\frac{12}{77}$ $\frac{5}{16}-\frac{1}{8}=\frac{3}{16}$ $\frac{16}{5}-2=\frac{6}{5}$ $\frac{3}{4}+\frac{1}{16}=\frac{13}{16}$
$\frac{2}{3}-\frac{1}{5}=\frac{7}{15}$ $\frac{3}{7}-\frac{1}{5}=\frac{8}{35}$ $\frac{3}{11}+\frac{7}{22}=\frac{13}{22}$ $\frac{1}{2}+\frac{1}{2}-\frac{1}{3}=\frac{2}{3}$
$\frac{5}{9}-\frac{1}{10}=\frac{41}{90}$ $\frac{5}{8}+\frac{1}{2}=\frac{9}{8}$ $\frac{2}{3}-\frac{5}{12}=\frac{1}{4}$ $1-\frac{1}{4}+\frac{1}{3}=\frac{13}{12}$
$300\ \mathrm{cm}^3=(0.3)\mathrm{dm}^3$ $1.01\ \mathrm{m}^3=(1010000)\mathrm{cm}^3$ $9.71\ \mathrm{dm}^3=(9710)\mathrm{cm}^3$
$6.7\ \mathrm{m}^3=(6700)\mathrm{dm}^3$ $5040\ \mathrm{cm}^3=(5.04)\mathrm{dm}^3$ $200\ \mathrm{cm}^2=(2)\mathrm{dm}^2$
$3\ \mathrm{dm}^3=(3000)\mathrm{cm}^3$ $4\ \mathrm{m}^3=(4000)\mathrm{dm}^3$ $3.12\ \mathrm{m}=(31.2)\mathrm{dm}$
$5.35\ \mathrm{dm}^3=(5)\mathrm{dm}^3(350)\mathrm{cm}^3$ $70\ \mathrm{dm}^3=(70000)\mathrm{cm}^3=(0.07)\mathrm{m}^3$
$12\ \mathrm{dm}^3=(12000)\mathrm{cm}^3=(0.012)\mathrm{m}^3$ $5\ \mathrm{m}^350\ \mathrm{dm}^3=(5.05)\mathrm{m}^3$
$0.09\ \mathrm{m}^3=(90)\mathrm{dm}^3=(90000)\mathrm{cm}^3$ $4.05\ \mathrm{m}^2=(4)\mathrm{m}^2(5)\mathrm{dm}^2$
$9.78\ \mathrm{dm}^3=(9)\mathrm{dm}^3(780)\mathrm{cm}^3$ $6.39\ \mathrm{m}=(63.9)\mathrm{dm}=(639)\mathrm{cm}$
【知识点】
小数四则运算、分数加减法、单位换算
【点评】
本题为基础计算综合练习,涵盖小数运算、分数运算及常见单位换算,考查学生的基础计算能力和单位进率的掌握情况,题目难度较低,适合巩固数学基础。
【难度系数】
0.2
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