2026年学霸计算达人七年级数学上册苏科版第12页答案
(1)$-\dfrac{1}{7}$的倒数是________;
(2)$-2\dfrac{1}{2}$的倒数是________。

答案

1. (1)$-7$ (2)$-\dfrac{2}{5}$
2. 计算:
(1) $(-7) × (1\dfrac{1}{5}) × (-\dfrac{2}{7})$;
(2) $(-8) × \dfrac{4}{3} × (-1.25) × (-\dfrac{5}{4})$;
(3) $(-\dfrac{1}{2} + \dfrac{2}{3} - \dfrac{1}{4}) × |-24|$;
(4) $25 × \dfrac{1}{5} + 25 × \dfrac{1}{10} - 25 × \dfrac{1}{2}$;
(5) $39\dfrac{13}{14} × (-14)$;
(6) $-60 × (\dfrac{3}{4} + \dfrac{5}{6} - \dfrac{11}{15} - \dfrac{7}{12})$;
(7) $(-3) × (-\dfrac{1}{4}) + 0.25 × 24.5 + (-3\dfrac{1}{2}) × 25\%$;
(8) $\dfrac{1}{8} - 0.125 × 5 + \dfrac{3}{8} × 5 - 0.625 × 7$;
(9) $(\dfrac{1}{2} × \dfrac{3}{2}) × (\dfrac{2}{3} × \dfrac{4}{3}) × ··· × (\dfrac{98}{99} × \dfrac{100}{99}) × (\dfrac{99}{100} × \dfrac{101}{100})$。

答案

2. (1)$2\dfrac{2}{5}$ (2)$-\dfrac{50}{3}$ (3)$-2$ (4)$-5$ (5)$-559$
(6)$-16$
【错因分析】很多同学容易在符号上出错,在进行有理数运算的时候,要记得把运算符号与符号后面的数看作一个整体.
(7)$6$ (8)$-3$
(9) 原式$=\dfrac{1}{2}×\dfrac{3}{2}×\dfrac{2}{3}×\dfrac{4}{3}×\dfrac{3}{4}×\dfrac{5}{4}×\dots×\dfrac{98}{99}×\dfrac{100}{99}×\dfrac{99}{100}×\dfrac{101}{100}=\dfrac{1}{2}×\dfrac{101}{100}=\dfrac{101}{200}.$