1. 计算:
(1)$- [ (-0.5) + (-5 \dfrac{1}{2}) ] - 16$;
(2)$0 - (+3) + (-5) - (-7) - (-3)$;
(3)$-1.5 - (-3 \dfrac{1}{4}) + 2.75 - 7.5$;
(4)$(-4 \dfrac{7}{8}) - (-5 \dfrac{1}{2}) + (-4 \dfrac{1}{4}) - (+5 \dfrac{1}{8})$;
(5)$6 \dfrac{1}{3} - 0.75 + (-\dfrac{9}{4}) - \dfrac{4}{3} + 2$;
(6)$(-7 \dfrac{1}{2}) - 4.5 + (-3) - |(-4) - 10|$.
(1)$- [ (-0.5) + (-5 \dfrac{1}{2}) ] - 16$;
(2)$0 - (+3) + (-5) - (-7) - (-3)$;
(3)$-1.5 - (-3 \dfrac{1}{4}) + 2.75 - 7.5$;
(4)$(-4 \dfrac{7}{8}) - (-5 \dfrac{1}{2}) + (-4 \dfrac{1}{4}) - (+5 \dfrac{1}{8})$;
(5)$6 \dfrac{1}{3} - 0.75 + (-\dfrac{9}{4}) - \dfrac{4}{3} + 2$;
(6)$(-7 \dfrac{1}{2}) - 4.5 + (-3) - |(-4) - 10|$.
答案
(1)-10
(2)2
(3)-3
(4)$-8 \dfrac{3}{4}$
(5)4
(6)-29
(2)2
(3)-3
(4)$-8 \dfrac{3}{4}$
(5)4
(6)-29
2. 输入-2,按如图所示的程序运算,求输出的结果.

答案
1
3. 计算:
$\left| \frac{1}{2} - 1 \right| + \left| \frac{1}{3} - \frac{1}{2} \right| + \left| \frac{1}{4} - \frac{1}{3} \right| + \dots + \left| \frac{1}{100} - \frac{1}{99} \right|.$
$\left| \frac{1}{2} - 1 \right| + \left| \frac{1}{3} - \frac{1}{2} \right| + \left| \frac{1}{4} - \frac{1}{3} \right| + \dots + \left| \frac{1}{100} - \frac{1}{99} \right|.$
答案
原式 = $1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dots+\dfrac{1}{99}-\dfrac{1}{100}=1-\dfrac{1}{100}=\dfrac{99}{100}.$
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