Chương I : Ôn tập và bổ túc về số tự nhiên
Các câu hỏi tương tự
Bài 1:
a,|x-3|+|2-x|0
b,left(2-dfrac{3}{4}xright).left(x+1right)0
bài 2:
a,Adfrac{dfrac{-6}{7}+dfrac{6}{13}-dfrac{6}{29}}{dfrac{9}{7}-dfrac{9}{13}+dfrac{9}{29}}
b,Bdfrac{dfrac{2}{15}-dfrac{2}{21}+dfrac{2}{39}}{0,25-dfrac{5}{28}+dfrac{5}{52}}
c,Cdfrac{50-dfrac{4}{15}+dfrac{2}{15}-dfrac{2}{17}}{100-dfrac{8}{13}+dfrac{4}{15}-dfrac{4}{17}}:dfrac{1+dfrac{2}{21}-dfrac{5}{121}}{dfrac{65}{121}-dfrac{26}{71}-13}
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Bài 1:
a,\(|x-3|+|2-x|=0\)
b,\(\left(2-\dfrac{3}{4}x\right).\left(x+1\right)=0\)
bài 2:
a,A=\(\dfrac{\dfrac{-6}{7}+\dfrac{6}{13}-\dfrac{6}{29}}{\dfrac{9}{7}-\dfrac{9}{13}+\dfrac{9}{29}}\)
b,B=\(\dfrac{\dfrac{2}{15}-\dfrac{2}{21}+\dfrac{2}{39}}{0,25-\dfrac{5}{28}+\dfrac{5}{52}}\)
c,C=\(\dfrac{50-\dfrac{4}{15}+\dfrac{2}{15}-\dfrac{2}{17}}{100-\dfrac{8}{13}+\dfrac{4}{15}-\dfrac{4}{17}}:\dfrac{1+\dfrac{2}{21}-\dfrac{5}{121}}{\dfrac{65}{121}-\dfrac{26}{71}-13}\)
Bài 17
a)dfrac{3}{7}. dfrac{14}{5}
b) dfrac{35}{9}. dfrac{81}{7}
c) dfrac{28}{17} . dfrac{68}{14}
d) dfrac{35}{46} . dfrac{23}{105}
e) dfrac{12}{5}: dfrac{16}{15}
i) dfrac{9}{8} : dfrac{6}{5}
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Bài 17
a)\(\dfrac{3}{7}\). \(\dfrac{14}{5}\)
b) \(\dfrac{35}{9}\). \(\dfrac{81}{7}\)
c) \(\dfrac{28}{17}\) . \(\dfrac{68}{14}\)
d) \(\dfrac{35}{46}\) . \(\dfrac{23}{105}\)
e) \(\dfrac{12}{5}\): \(\dfrac{16}{15}\)
i) \(\dfrac{9}{8}\) : \(\dfrac{6}{5}\)
1 .Tìm x biết
a. ( dfrac{1}{1.4}+dfrac{1}{4.7}+dfrac{1}{7.10}+...+dfrac{1}{97.100}) dfrac{0,33x}{2009}
b. 1 + dfrac{1}{3}+dfrac{1}{6}+dfrac{1}{10}+...+dfrac{2}{xleft(x+1right)}1dfrac{1991}{1993}
c. dfrac{1}{2013}x+1+dfrac{1}{2}+dfrac{1}{6}+dfrac{1}{12}+...+dfrac{1}{2012.2013}2
d. 2x + dfrac{7}{6}+dfrac{13}{12}+dfrac{21}{20}+dfrac{31}{30}+dfrac{43}{42}+dfrac{57}{56}+dfrac{73}{72}+dfrac{91}{90}10
2. Chứng minh rằng :
a. dfrac{1}{4}+dfrac{1}{4^2}+dfrac{1}{4^3}+...+dfrac{1}{4^{99}} dfrac{1}{3...
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1 .Tìm x biết
a. ( \(\dfrac{1}{1.4}+\dfrac{1}{4.7}+\dfrac{1}{7.10}+...+\dfrac{1}{97.100}\)) = \(\dfrac{0,33x}{2009}\)
b. 1 + \(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{2}{x\left(x+1\right)}=1\dfrac{1991}{1993}\)
c. \(\dfrac{1}{2013}x+1+\dfrac{1}{2}+\dfrac{1}{6}+\dfrac{1}{12}+...+\dfrac{1}{2012.2013}=2\)
d. 2x + \(\dfrac{7}{6}+\dfrac{13}{12}+\dfrac{21}{20}+\dfrac{31}{30}+\dfrac{43}{42}+\dfrac{57}{56}+\dfrac{73}{72}+\dfrac{91}{90}=10\)
2. Chứng minh rằng :
a. \(\dfrac{1}{4}+\dfrac{1}{4^2}+\dfrac{1}{4^3}+...+\dfrac{1}{4^{99}}< \dfrac{1}{3}\)
b. \(\dfrac{1}{1.2.3}+\dfrac{1}{2.3.4}+...+\dfrac{1}{18.19.20}< \dfrac{1}{4}\)
\(G=\dfrac{\left(-2\right)}{3}+\dfrac{\left(-5\right)}{7}+\dfrac{2}{3}+\dfrac{\left(-2\right)}{7}\)
\(H=\dfrac{\left(-5\right)}{7}.\dfrac{2}{11}+\dfrac{\left(-5\right)}{7}.\dfrac{9}{11}\)
\(E=\dfrac{5}{7}.\dfrac{12}{11}+\dfrac{5}{7}.\dfrac{12}{11}-\dfrac{5}{7}.\dfrac{17}{11}\)
Tính giá trị biểu thức
Bài 1 Tìm x biết
a )\(\dfrac{5}{6}\) = \(\dfrac{x}{24}\)
b) \(\dfrac{4}{7}\) = \(\dfrac{12}{x}\)
c) \(\dfrac{3}{x}=\dfrac{7}{21}\)
d) \(\dfrac{x}{-4}=\dfrac{20}{16}\)
So sánh A; B; C biết
A = \(\left(-\dfrac{43}{51}\right).\left(-\dfrac{19}{80}\right)\)
B = \(\left(-\dfrac{7}{13}\right).\left(-\dfrac{4}{65}\right).\left(-\dfrac{8}{31}\right)\)
C = \(\dfrac{-5}{10}.\dfrac{-4}{10}.\dfrac{-3}{10}...\dfrac{3}{10}.\dfrac{4}{10}.\dfrac{5}{10}\)
Tính ( bằng cách thuận tiên nếu có thể )
a, A dfrac{3^2}{10}+dfrac{3^2}{40}+dfrac{3^2}{8^8}+...+dfrac{3^2}{340}
b, A dfrac{5^2}{1cdot6}+dfrac{5^2}{6cdot11}+...+dfrac{5^2}{26cdot31}
c, A dfrac{1}{2}+dfrac{2}{2cdot4}+dfrac{3}{4cdot7}+dfrac{4}{7cdot11}+dfrac{5}{11cdot16}
d, A dfrac{3}{54}+dfrac{5}{126}+dfrac{7}{249}+dfrac{8}{609}
e, A dfrac{2}{3}+dfrac{14}{15}+dfrac{34}{35}+dfrac{62}{63}
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Tính ( bằng cách thuận tiên nếu có thể )
a, A = \(\dfrac{3^2}{10}\)+\(\dfrac{3^2}{40}\)+\(\dfrac{3^2}{8^8}\)+...+\(\dfrac{3^2}{340}\)
b, A = \(\dfrac{5^2}{1\cdot6}\)+\(\dfrac{5^2}{6\cdot11}\)+...+\(\dfrac{5^2}{26\cdot31}\)
c, A = \(\dfrac{1}{2}\)+\(\dfrac{2}{2\cdot4}\)+\(\dfrac{3}{4\cdot7}\)+\(\dfrac{4}{7\cdot11}\)+\(\dfrac{5}{11\cdot16}\)
d, A = \(\dfrac{3}{54}+\dfrac{5}{126}+\dfrac{7}{249}+\dfrac{8}{609}\)
e, A = \(\dfrac{2}{3}+\dfrac{14}{15}+\dfrac{34}{35}+\dfrac{62}{63}\)
Bài 1:So sánh hai phân số:
a) A108+1109+1 và 109+11010+1
b) B512+1513+1 và511+1512+1
Bài 2: Tính :
a) Adfrac{1}{2}+dfrac{5}{6}+dfrac{11}{12}+dfrac{19}{20}+dfrac{29}{30}+dfrac{41}{42}+dfrac{55}{56}+dfrac{71}{72}+dfrac{89}{90}
b) Bdfrac{3-dfrac{3}{20}+dfrac{3}{13}+dfrac{3}{2013}}{7-dfrac{7}{20}+dfrac{7}{13}+dfrac{7}{2013}}
c)Cdfrac{1}{1cdot5}+dfrac{1}{5cdot9}+dfrac{1}{9cdot13}+...+dfrac{1}{41cdot45}
Mong các giáo viên cùng các bạn giải hộ mình. Được bài nào hay bài ấy, mình xin cảm ơn
Đọc tiếp
Bài 1:So sánh hai phân số:
a) A=108+1109+1 và 109+11010+1
b) B=512+1513+1 và511+1512+1
Bài 2: Tính :
a) \(A=\dfrac{1}{2}+\dfrac{5}{6}+\dfrac{11}{12}+\dfrac{19}{20}+\dfrac{29}{30}+\dfrac{41}{42}+\dfrac{55}{56}+\dfrac{71}{72}+\dfrac{89}{90}\)
b) \(B=\dfrac{3-\dfrac{3}{20}+\dfrac{3}{13}+\dfrac{3}{2013}}{7-\dfrac{7}{20}+\dfrac{7}{13}+\dfrac{7}{2013}}\)
c)\(C=\dfrac{1}{1\cdot5}+\dfrac{1}{5\cdot9}+\dfrac{1}{9\cdot13}+...+\dfrac{1}{41\cdot45}\)
Mong các giáo viên cùng các bạn giải hộ mình. Được bài nào hay bài ấy, mình xin cảm ơn
1)so sánh
\(\dfrac{15^{15}+1}{13^{16}+1}\)và\(\dfrac{13^{16}+1}{13^{17}+1}\)