《2025年名校课堂七年级数学上册人教版贵州专版》

1. (60 分)下面各题,能简算的要简算:
(1)$27\% ×\frac {2}{3}+\frac {1}{3}×27\% $
(2)$8.15-2.93-1.07-3.15$
(3)$0.625×5.8+\frac {5}{8}×3.2+\frac {5}{8}$
(4)$0.35×\frac {5}{7}+\frac {7}{20}÷\frac {7}{2}$
(5)$(\frac {5}{24}+\frac {7}{12}-\frac {2}{3})×48$
(6)$0.91×99+91×0.01$
(7)$(\frac {5}{12}-\frac {3}{5})-(\frac {2}{5}-\frac {7}{12})$
(8)$0.25×(\frac {3}{8}+\frac {3}{8}+\frac {3}{8}+\frac {3}{8})$
(9)$(\frac {1}{12}+\frac {1}{15})×12×15$
(10)$0.5×2.5×12.5×64$

答案： 1.
(1)原式=27%×($\frac{2}{3}+\frac{1}{3}$)=27%×1=0.27
(2)原式=(8.15-3.15)-(2.93+1.07)=5-4=1
(3)原式=(5.8+3.2+1)×$\frac{5}{8}$=10×$\frac{5}{8}$=$\frac{25}{4}$
(4)原式=0.35×$\frac{5}{7}$+0.35×$\frac{2}{7}$=0.35×($\frac{5}{7}+\frac{2}{7}$)=0.35×1=0.35
(5)原式=$\frac{5}{24}$×48+$\frac{7}{12}$×48-$\frac{2}{3}$×48=10+28-32=38-32=6
(6)原式=0.91×99+0.91=0.91×(99+1)=0.91×100=91
(7)原式=$\frac{5}{12}-\frac{3}{5}-\frac{2}{5}+\frac{7}{12}$=($\frac{5}{12}+\frac{7}{12}$)-($\frac{3}{5}+\frac{2}{5}$)=1-1=0
(8)原式=0.25×4×$\frac{3}{8}$=1×$\frac{3}{8}$=$\frac{3}{8}$
(9)原式=$\frac{1}{12}$×12×15+$\frac{1}{15}$×12×15=15+12=27
(10)原式=0.5×2.5×12.5×(2×4×8)=(0.5×2)×(2.5×4)×(12.5×8)=1×10×100=1000

2. (40 分)能力大考验:
(1)$36×1111+8888×8$
(2)$3838×85÷38-85$
(3)$\frac {2023}{2024}×2025$
(4)$9\frac {4}{5}+99\frac {4}{5}+999\frac {4}{5}+9999\frac {4}{5}+\frac {4}{5}$

答案： 2.
(1)原式=36×1111+(1111×8)×8=36×1111+1111×64=(36+64)×1111=100×1111=111100
(2)原式=3838÷38×85-85=101×85-85=(101-1)×85=100×85=8500
(3)原式=$\frac{2023}{2024}$×(2024+1)=$\frac{2023}{2024}$×2024+$\frac{2023}{2024}$×1=2023+$\frac{2023}{2024}$=2023$\frac{2023}{2024}$
(4)原式=9$\frac{4}{5}$+99$\frac{4}{5}$+999$\frac{4}{5}$+9999$\frac{4}{5}$+($\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$)=(9$\frac{4}{5}+\frac{1}{5}$)+(99$\frac{4}{5}+\frac{1}{5}$)+(999$\frac{4}{5}+\frac{1}{5}$)+(9999$\frac{4}{5}+\frac{1}{5}$)=10+100+1000+10000=11110