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\(\begin{array}{l}B = \dfrac{{ - 1}}{9} + \dfrac{8}{7} + \dfrac{{10}}{9} + \dfrac{{ - 29}}{7}\\ = \left( {\dfrac{{ - 1}}{9} + \dfrac{{10}}{9}} \right) + \left( {\dfrac{8}{7} + \dfrac{{ - 29}}{7}} \right)\\ = \dfrac{9}{9} + \dfrac{{ - 21}}{7} = 1 - 3 = - 2\end{array}\)
\(=20.\left(-9\right)+\left(-20\right).21\)
\(=-180+\left(-420\right)\)
\(=-600\)
a) =20.(-9)+(-20).21
=20.(-9)+20.(-21)
=20[(-9)+(-21)]
=20.(-30)
=-600
\(B=-\left(1+4+7+...+100\right)\\ B=-\dfrac{\left(100+1\right)\left[\left(100-1\right):3+1\right]}{2}=-\dfrac{101\cdot34}{2}=-1717\\ C=10+10+10+10-103=50-103=-53\)
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\(a.\)
\(\dfrac{2}{9}+\dfrac{-3}{10}+-\dfrac{7}{10}=\dfrac{2}{9}-1=\dfrac{2}{9}-\dfrac{9}{9}=-\dfrac{7}{9}\)
\(b.\)
\(\dfrac{-11}{6}+\dfrac{2}{5}+\dfrac{-1}{6}=\left(-\dfrac{11}{6}+-\dfrac{1}{6}\right)+\dfrac{2}{5}=-2+\dfrac{2}{5}=\dfrac{-10}{5}+\dfrac{2}{5}=\dfrac{-8}{5}\)
\(c.\)
\(-\dfrac{5}{8}+\dfrac{12}{7}+\dfrac{13}{8}+\dfrac{2}{7}=\left(-\dfrac{5}{8}+\dfrac{13}{8}\right)+\left(\dfrac{12}{7}+\dfrac{2}{7}\right)=1+2=3\)
a: =382-282+531-331
=100+200=300
b: =(7-8)+(9-10)+...+(2009-2010)
=(-1)+(-1)+....+(-1)
=-1002
c: =-(1+2+3+...+2009+2010)
=-2010*2011/2=-2021055
a) 152 + (-73) - (-18) - 127 = 152 – 73 +18 -127
= (152 + 18) – (127 + 73) = 170 - 200 = -(200 - 170) = -30
b) 7 + 8 + (-9) + (-10) = (7 + 8) + [(-9) + (-10)]
= 15 + (-19) = -(19 - 15) = -4.
a) =20.(-9)+(-20).21
=20.(-9)+20.(-21)
=20[(-9)+(-21)]
=20.(-30)
=-600
a)= 2021.2021-2020.(2021+1)
= 2021.(2020+1)-2020.(2021+1)
= (2021.2020)+2021-(2020.2021)-2020
= 1
b) B= (1+2-3-4)+(5+6-7-8)+(9+10-11-12)...........+(2017+2018-2019-2020)+2021
B= -4+(-4)+....................(-4)+2021
B= -4x505+2021
B= -2020 + 2021
B = 1
\(B=\dfrac{-1}{9}+\dfrac{8}{7}+\dfrac{10}{9}+\dfrac{-29}{7}\\ B=\left(\dfrac{-1}{9}+\dfrac{10}{9}\right)+\left(\dfrac{8}{7}+\dfrac{-29}{7}\right)\\ B=1+\dfrac{-11}{7}=1\dfrac{-11}{7}\)
B=\(-\dfrac{1}{9}+\dfrac{8}{7}+\dfrac{10}{9}+\dfrac{-29}{7}\)
\(B=\left(-\dfrac{1}{9} +\dfrac{10}{9}\right)+\left(\dfrac{8}{7}-\dfrac{29}{7}\right)\)
\(B=1+\left(-3\right)\)
\(B=-2\)