tính hợp lí;
a,(-2)+7+(-12)+17+...+(-52)+57
b,(-30)+(-29)+...+48+49+50
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\(\left(-2021\right).\left(23+76\right)-2021=\left(-2021\right).99-2021=-202100\)
\(5,-\dfrac{2}{7}-\left(\dfrac{5}{11}-\dfrac{9}{7}\right)+\dfrac{5}{11}=-\dfrac{2}{7}-\dfrac{5}{11}+\dfrac{9}{7}+\dfrac{5}{11}=\left(-\dfrac{2}{7}+\dfrac{9}{7}\right)-\left(\dfrac{5}{11}-\dfrac{5}{11}\right)=1-0=1\\ 6,\dfrac{2}{3}+\dfrac{-2}{5}+\dfrac{-5}{6}-\dfrac{13}{10}=\left(\dfrac{4}{6}+\dfrac{-5}{6}\right)+\left(\dfrac{-4}{10}-\dfrac{13}{10}\right)=\dfrac{-1}{6}+\dfrac{-17}{10}=\dfrac{-5}{30}+\dfrac{-51}{30}=\dfrac{-56}{30}=\dfrac{-28}{15}\)
\(7,\dfrac{-5}{9}+\dfrac{8}{15}+\dfrac{4}{-9}+\dfrac{7}{15}=\left(\dfrac{-5}{9}+\dfrac{-4}{9}\right)+\left(\dfrac{8}{15}+\dfrac{7}{15}\right)=\left(-1\right)+1=0\\ 8,\left(\dfrac{12}{13}+7\right)-\left(-\dfrac{1}{13}+8\right)=\dfrac{12}{13}+7+\dfrac{1}{13}-8=\left(\dfrac{12}{13}+\dfrac{1}{13}\right)+\left(7-8\right)=1+\left(-1\right)=0\)
Tham khảo: https://hoc247.net/hoi-dap/toan-6/tinh-a-b-voi-a-34-7-13-51-13-22-85-22-37-68-37-49-faq162600.html
\(12,25+\left(-21,37\right)-\left(14,67-21,75\right)\)
\(=12,25-21,37-14,67+21,75\)
\(=12,25+21,75-21,37-14,63-0,04\)
\(=34-36-0,04\)
= -2-0,04=-2,04
120:{54-[50:2.(3^2-2.4)]}
= 120:{ 54-[25.(9-8)]}
= 120:{54-[25.1]}
= 120:{54-25}
= 120:29
=\(\dfrac{120}{29}\)
a,(-2)+7+(-12)+17+...+(-52)+57
=[(-2)+7]+[(-12)+17]+...+[(-52)+57]
=5+5+5+...+5 có 6 số 5
=5.6
=30
b,(-30)+(-29)+...+48+49+50
=[(-30)+(-29)]+...+31+32+...+50
=0+0+...+31+32+...+50
=0+31+32+...+50
=810
a, (-2+7)+(-12+17)+...+(-52+57)
=5+5+...+5
=5.6=30