《2025年运算升级卡七年级数学上册人教版》

$1.0.5×\frac{8}{7}×1.5×1\frac{1}{6}×1\frac{1}{3}×1.2×1.25$

答案： 3
解析：原式$=\frac{1}{2}×\frac{8}{7}×\frac{3}{2}×\frac{7}{6}×\frac{4}{3}×\frac{6}{5}×\frac{5}{4}$
$=(\frac{1}{2}×\frac{3}{2})×(\frac{8}{7}×\frac{7}{6})×(\frac{4}{3}×\frac{6}{5})×\frac{5}{4}$
$=\frac{3}{4}×\frac{4}{3}×\frac{8}{5}×\frac{5}{4}$
=1×2
=2

$2.[(-3)²+(-2)³]+(\frac{16}{5}-\frac{48}{25}-\frac{32}{15})÷\frac{24}{25}$

答案： $-\frac{1}{3}$
解析：原式$=[9+(-8)]+(\frac{16}{5}-\frac{48}{25}-\frac{32}{15})×\frac{25}{24}$
$=1+\frac{16}{5}×\frac{25}{24}-\frac{48}{25}×\frac{25}{24}-\frac{32}{15}×\frac{25}{24}$
$=1+\frac{10}{3}-2-\frac{20}{9}$
$=(1-2)+(\frac{30}{9}-\frac{20}{9})$
$=-1+\frac{10}{9}$
$=\frac{1}{9}$

3.(-2)²-(-5²)×(-1)³+87÷(-3)×(-1)⁴

答案： -52
解析：原式=4-(-25)×(-1)+87÷(-3)×1
=4-25-29
=-50

$4.4\frac{1}{2}×[-3²×(-\frac{1}{3})²-0.8]÷(-5\frac{1}{4})+\frac{3}{5}$

答案： $\frac{3}{5}$
解析：原式$=\frac{9}{2}×[-9×\frac{1}{9}-\frac{4}{5}]÷(-\frac{21}{4})+\frac{3}{5}$
$=\frac{9}{2}×(-1-\frac{4}{5})×(-\frac{4}{21})+\frac{3}{5}$
$=\frac{9}{2}×(-\frac{9}{5})×(-\frac{4}{21})+\frac{3}{5}$
$=\frac{54}{35}+\frac{3}{5}$
$=\frac{54}{35}+\frac{21}{35}$
$=\frac{75}{35}$
$=\frac{15}{7}$

$5.(-3)²×[-\frac{2}{3}+(-\frac{5}{9})]+[(-\frac{3}{5})×(-\frac{5}{6})×(-2)³-(-5)]$

答案： -11
解析：原式$=9×(-\frac{11}{9})+[(-\frac{3}{5})×(-\frac{5}{6})×(-8)+5]$
$=-11+[(\frac{1}{2})×(-8)+5]$
=-11+(-4+5)
=-11+1
=-10