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1, 1+(-2)+3+(-4)+....+19+(-20)
= [1+(-2)]+[3+(-4)]+...+[19+(-20)
=(-1)+(-1)+....+(-1)
=(-10)
2,1-2+3-4+5-6+....+2017-2018
=(1-2)+(3-4)+(5-6)+...+(2017-2018)
=(-1)+(-1)+(-1)+....+(-1)
=2014
Tương tự như phần 3,4,5,6
Sao dễ thế mà bn ko làm được
Cách làm là : nhóm từng nhóm 2 số tạo ra các số giống nhau rồi nhân lên là được(nhóm 2 số gần nhau)
a; - \(\dfrac{10}{13}\) + \(\dfrac{5}{17}\) - \(\dfrac{3}{13}\) + \(\dfrac{12}{17}\) - \(\dfrac{11}{20}\)
= - (\(\dfrac{10}{13}\) + \(\dfrac{3}{13}\)) + (\(\dfrac{5}{17}\) + \(\dfrac{12}{17}\)) - \(\dfrac{11}{20}\)
= - 1 + 1 - \(\dfrac{11}{20}\)
= 0 - \(\dfrac{11}{20}\)
= - \(\dfrac{11}{20}\)
b; \(\dfrac{3}{4}\) + \(\dfrac{-5}{6}\) - \(\dfrac{11}{-12}\)
= \(\dfrac{9}{12}\) - \(\dfrac{10}{12}\) + \(\dfrac{11}{12}\)
= \(\dfrac{10}{12}\)
= \(\dfrac{5}{6}\)
c; [13.\(\dfrac{4}{9}\) + 2.\(\dfrac{1}{9}\)] - 3.\(\dfrac{4}{9}\)
= [\(\dfrac{52}{9}\) + \(\dfrac{2}{9}\)] - \(\dfrac{4}{3}\)
= \(\dfrac{54}{9}\) - \(\dfrac{4}{3}\)
= \(\dfrac{14}{3}\)
a) \(\frac{3}{5}+\frac{7}{10}+\frac{-13}{20}=\frac{12}{20}+\frac{14}{20}+\frac{-13}{20}=\frac{12+14+\left(-13\right)}{20}=\frac{13}{20}\)
b) \(\frac{1}{2}+\frac{-1}{5}+\frac{1}{4}+\frac{1}{6}=\frac{60}{120}+\frac{-24}{120}+\frac{30}{120}+\frac{20}{120}\)\(=\frac{60+\left(-24\right)+30+20}{120}=\frac{86}{120}=\frac{43}{60}\)
c) \(\frac{2}{3}+\frac{-3}{4}+\frac{5}{8}+\frac{-1}{2}\)\(=\frac{16}{24}+\frac{-18}{24}+\frac{15}{24}+\frac{-12}{24}\)\(=\frac{16+\left(-18\right)+15+\left(-12\right)}{24}=\frac{1}{24}\)
\(a)\frac{3}{5}+\frac{7}{10}+\frac{-13}{20}\)
\(\frac{3}{5}+\frac{7}{10}+\frac{-13}{20}=\frac{3.4}{5.4}+\frac{7.2}{10.2}+\frac{-12}{20}\)
\(=\frac{12}{20}+\frac{14}{20}+\frac{-13}{20}=\frac{12+14+\left(-13\right)}{20}\)
\(=\frac{13}{20}\)
\(b)\frac{1}{2}+\frac{-1}{5}+\frac{1}{4}+\frac{1}{6}\)
\(\frac{1}{2}+\frac{-1}{5}+\frac{1}{4}+\frac{1}{6}=\frac{1.30}{2.30}+\frac{-1.12}{5.12}+\frac{1.15}{4.15}+\frac{1.10}{6.10}\)
\(=\frac{30}{60}+\frac{-12}{60}+\frac{15}{60}+\frac{10}{60}=\frac{30+\left(-12\right)+15+10}{60}\)
\(=\frac{43}{60}\)
\(c)\frac{2}{3}+\frac{-3}{4}+\frac{5}{8}+\frac{-1}{2}\)
\(\frac{2}{3}+\frac{-3}{4}+\frac{5}{8}+\frac{-1}{2}=\frac{2.8}{3.8}+\frac{-3.6}{4.6}+\frac{5.3}{8.3}+\frac{-1.12}{2.12}\)
\(=\frac{16}{24}+\frac{-18}{24}+\frac{15}{24}+\frac{-12}{24}\)\(=\frac{16+\left(-18\right)+15+\left(-12\right)}{24}\)
\(=\frac{1}{24}\)
Nếu có sai chỗ nào thì báo lỗi cho tớ nhé!
Chúc cậu một buổi tối vui vẻ ~!!!!!!!!!!!
#0006
\(\frac{3}{5}-\frac{-7}{10}-\frac{13}{-20}=\frac{3}{5}+\frac{7}{10}+\frac{13}{20}=\frac{12}{20}+\frac{14}{20}+\frac{13}{20}=\frac{39}{20}\)
\(\frac{1}{2}+\frac{-1}{3}+\frac{1}{4}-\frac{-1}{6}=\frac{1}{2}+\frac{-1}{3}+\frac{1}{4}+\frac{1}{6}=\frac{6+(-4)+3+2}{12}=\frac{7}{12}\)
\(\frac{9}{4}.\frac{8}{27}.\frac{5}{7}=\frac{9.8.5}{4.27.7}=\frac{1.2.5}{1.3.7}=\frac{10}{21}\)
\(\frac{2}{5}.(\frac{2}{3}-\frac{1}{4})+\frac{1}{2}=\frac{2}{5}.(\frac{8}{12}-\frac{3}{12})+\frac{1}{2}=\frac{2}{5}.\frac{5}{12}+\frac{1}{2}=\frac{1}{6}+\frac{1}{2}=\frac{1}{6}+\frac{3}{6}=\frac{4}{6}=\frac{2}{3}\)
\((\frac{1}{3}-\frac{1}{6}):(\frac{1}{3}+\frac{1}{6})=(\frac{2}{6}-\frac{1}{6}):(\frac{2}{6}+\frac{1}{6})=\frac{1}{6}:\frac{3}{6}=\frac{1}{6}.\frac{6}{3}=\frac{1.6}{6.3}=\frac{1.1}{1.3}=\frac{1}{3}\)
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