Ôn tập toán 6
Các câu hỏi tương tự
Bài tập: So sánh:
a, dfrac{12}{49}&dfrac{13}{47}
b,dfrac{64}{85}&dfrac{17}{35}
c,dfrac{19}{31}&dfrac{17}{35}
(Gợi ý: a,b,c: Phân số chung gian)
d,dfrac{67}{77}&dfrac{73}{83}
e,dfrac{456}{461}&dfrac{123}{128}
(Gợi ý: d, e:Phần bù đến đơn vị)
Đọc tiếp
Bài tập: So sánh:
a, \(\dfrac{12}{49}\&\dfrac{13}{47}\)
\(b,\dfrac{64}{85}\&\dfrac{17}{35}\)
\(c,\dfrac{19}{31}\&\dfrac{17}{35}\)
(Gợi ý: a,b,c: Phân số chung gian)
\(d,\dfrac{67}{77}\&\dfrac{73}{83}\)
\(e,\dfrac{456}{461}\&\dfrac{123}{128}\)
(Gợi ý: d, e:Phần bù đến đơn vị)
I tính
1,\(\dfrac{3}{4}.\dfrac{8}{9}.\dfrac{15}{16}.\dfrac{24}{25}.\dfrac{35}{36}.\dfrac{48}{49}.\dfrac{63}{64}\)
2, 1,2+2,3+......+8,9+9,10+10,11+......+98,99+100,101+......+998,999
3, 1,2+2,4+3,6+4,8+5,10+6,12+....+45,90
4, 1,1+1,11+1,111+......+1,111....11+1,11111....111
(9 số 1) (10 so 1)
tìm x
\([\dfrac{6:\dfrac{3}{5}-1\dfrac{1}{16}.\dfrac{16}{7}}{4\dfrac{1}{5}-\dfrac{10}{11}+5\dfrac{2}{11}}-\dfrac{\left(\dfrac{3}{20}+\dfrac{1}{2}-\dfrac{1}{5}\right).\dfrac{12}{49}}{3\dfrac{1}{3}+\dfrac{2}{9}}].x=2\dfrac{23}{96}\)
so sánh
\(\dfrac{-49}{78};\dfrac{64}{-95}\)
tính:
a) 2dfrac{3}{4}.left(-0,4right)-1dfrac{3}{5}.2,75+left(-1,2right):dfrac{4}{11}
b) 1,4.dfrac{15}{49}-left(dfrac{4}{5}+dfrac{2}{3}right):2dfrac{1}{5}
c) left(-3,2right).dfrac{15}{64}+left(0,8-2dfrac{4}{15}right):3dfrac{2}{3}
d) 0,02.dfrac{-25}{2}+dfrac{3}{8}+left(-2dfrac{9}{20}right).dfrac{2}{7}
e) 34%:dfrac{51}{16}-3dfrac{7}{9}.6,5-left(0,4right)^2
Đọc tiếp
tính:
a) \(2\dfrac{3}{4}.\left(-0,4\right)-1\dfrac{3}{5}.2,75+\left(-1,2\right):\dfrac{4}{11}\)
b) \(1,4.\dfrac{15}{49}-\left(\dfrac{4}{5}+\dfrac{2}{3}\right):2\dfrac{1}{5}\)
c) \(\left(-3,2\right).\dfrac{15}{64}+\left(0,8-2\dfrac{4}{15}\right):3\dfrac{2}{3}\)
d) \(0,02.\dfrac{-25}{2}+\dfrac{3}{8}+\left(-2\dfrac{9}{20}\right).\dfrac{2}{7}\)
e) \(34\%:\dfrac{51}{16}-3\dfrac{7}{9}.6,5-\left(0,4\right)^2\)
BT1: CMR:
a) dfrac{1}{2^2}+dfrac{1}{3^2}+dfrac{1}{4^2}+...+dfrac{1}{n^2} 1
b) dfrac{1}{4}+dfrac{1}{16}+dfrac{1}{36}+dfrac{1}{64}+dfrac{1}{100}+dfrac{1}{144}+dfrac{1}{196} dfrac{1}{2}
c) dfrac{1}{3}+dfrac{1}{30}+dfrac{1}{32}+dfrac{1}{35}+dfrac{1}{45}+dfrac{1}{47}+dfrac{1}{50} dfrac{1}{2}
d) dfrac{1}{2}-dfrac{1}{4}+dfrac{1}{8}-dfrac{1}{16}+dfrac{1}{32}-dfrac{1}{64} dfrac{1}{3}
e) dfrac{1}{3} dfrac{2}{3^2}+dfrac{3}{3^3}-dfrac{4}{3^4}+...+dfrac{99}{3^{99}}-dfrac{100}{3^{100}} dfrac{3}{16}
f) d...
Đọc tiếp
BT1: CMR:
a) \(\dfrac{1}{2^2}+\dfrac{1}{3^2}+\dfrac{1}{4^2}+...+\dfrac{1}{n^2}< 1\)
b) \(\dfrac{1}{4}+\dfrac{1}{16}+\dfrac{1}{36}+\dfrac{1}{64}+\dfrac{1}{100}+\dfrac{1}{144}+\dfrac{1}{196}< \dfrac{1}{2}\)
c) \(\dfrac{1}{3}+\dfrac{1}{30}+\dfrac{1}{32}+\dfrac{1}{35}+\dfrac{1}{45}+\dfrac{1}{47}+\dfrac{1}{50}< \dfrac{1}{2}\)
d) \(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{8}-\dfrac{1}{16}+\dfrac{1}{32}-\dfrac{1}{64}< \dfrac{1}{3}\)
e) \(\dfrac{1}{3}< \dfrac{2}{3^2}+\dfrac{3}{3^3}-\dfrac{4}{3^4}+...+\dfrac{99}{3^{99}}-\dfrac{100}{3^{100}}< \dfrac{3}{16}\)
f) \(\dfrac{1}{41}+\dfrac{1}{42}+\dfrac{1}{43}+...+\dfrac{1}{79}+\dfrac{1}{80}>\dfrac{7}{12}\)
BT2: Tính tổng
a) A=\(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+...+\dfrac{1}{3^{100}}\)
b) E=\(1+\dfrac{1}{2}\left(1+2\right)+\dfrac{1}{3}\left(1+2+3\right)+\dfrac{1}{4}\left(1+2+3+4\right)+...+\dfrac{1}{200}\left(1+2+3+...+200\right)\)
BT3: Cho S=\(\dfrac{3}{10}+\dfrac{3}{11}+\dfrac{3}{12}+\dfrac{3}{13}+\dfrac{3}{14}\)
CMR: 1 < S < 2
So sánh: A=\(\dfrac{1}{2}+\dfrac{1}{11}+\dfrac{1}{12}+\dfrac{1}{13}+\dfrac{1}{31}+\dfrac{1}{32}+\dfrac{1}{33}\)với 0,9
So sánh hai phân số không cần quy đồng mẫu số:\(\dfrac{49}{38}vs\dfrac{75}{64}\)
\(\dfrac{13}{92}vs\dfrac{2}{13}\)
\(\dfrac{3}{4}.\dfrac{8}{9}.\dfrac{15}{16}.\dfrac{24}{25}._{......}.\dfrac{80}{81}.\dfrac{99}{100}\)