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c/
C = 1/100-1/100-1/99-1/99-1/98-1/98-1/97-..........-1/3-1/2-1/2-1/1
C = 1/100-1/100-1/1
C = 0-1/1
C = -1
=(11+9+2)+(1/2-3/2+5/2)-(2/3+5/3-7/3)
=22+1,5-0
=23.5
Chúc học tốt
\(\text{A = }\frac{\text{-1}}{\text{2011}}-\frac{\text{3}}{\text{11}^2}-\frac{\text{5}}{\text{11}^2.\text{11}}-\frac{\text{7}}{\text{11}^2.\text{11}^2}=\text{ }\frac{\text{-1}}{\text{2011}}-\frac{\text{1}}{\text{11}^2}.\left(3-\frac{\text{5}}{\text{11}}-\frac{\text{7}}{\text{11}^2}\right)\)
\(\text{B = }\frac{\text{-1}}{\text{2011}}-\frac{7}{\text{11}^2}-\frac{5}{\text{11}^2.\text{11}}-\frac{3}{\text{11}^2.\text{11}^2}=\frac{\text{-1}}{\text{2011}}-\frac{\text{1}}{\text{11}^2}.\left(7-\frac{5}{\text{11}}-\frac{3}{\text{11}^2}\right)\)
\(\text{Vì }3-\frac{\text{5}}{\text{11}}-\frac{\text{7}}{\text{11}^2}< 7-\frac{5}{\text{11}}-\frac{3}{\text{11}^2}\)
\(\Rightarrow\frac{\text{-1}}{\text{2011}}-\frac{\text{1}}{\text{11}^2}.\left(3-\frac{\text{5}}{\text{11}}-\frac{\text{7}}{\text{11}^2}\right)>\frac{\text{-1}}{\text{2011}}-\frac{\text{1}}{\text{11}^2}.\left(7-\frac{5}{\text{11}}-\frac{3}{\text{11}^2}\right)\)
=> A > B
Vậy A > B
Sửa đề: Tìm các giá trị nguyên X thỏa mãn
3: \(\frac{-5}{11}<\frac{9}{x}<\frac{-5}{12}\)
=>\(\frac{-45}{99}<\frac{-45}{-5x}<\frac{-45}{108}\)
=>\(\frac{45}{99}>\frac{45}{-5x}>\frac{45}{108}\)
=>99<-5x<108
=>\(-\frac{99}{5}>x>-\frac{108}{5}\)
mà x nguyên
nên x∈{-20;-21}
4: Ta có: \(\frac{-11}{13}<\frac{9}{x}<\frac{-11}{15}\)
=>\(\frac{-99}{117}<\frac{-99}{-11x}<\frac{-99}{135}\)
=>\(\frac{99}{117}>\frac{99}{-11x}>\frac{99}{135}\)
=>117<-11x<135
=>\(-\frac{117}{11}>x>-\frac{135}{11}\)
mà x nguyên
nên x∈{-11;-12}
5: Ta có: \(\frac{-4}{5}<\frac{9}{x}<\frac{-4}{7}\)
=>\(\frac{-36}{45}<\frac{-36}{-4x}<\frac{-36}{28}\)
=>\(\frac{36}{45}>\frac{36}{-4x}>\frac{36}{28}\)
=>45<-4x<28
=>\(-\frac{45}{4}>x>-\frac{28}{4}\)
mà x nguyên
nên x∈∅
Mn ơi cho mình hỏi tick kiểu gì ạ mình mới dùng web này nên ko biết
Bài 1 :
0,7 + 0,6 - \(\frac{3}{7}\)- \(\frac{3}{13}\)
= 1,3 - \(\frac{3}{7}\)- \(\frac{3}{13}\)
= \(\frac{61}{70}\)- \(\frac{3}{13}\)
= \(\frac{583}{910}\)
2,75 + 2,2 - \(\frac{11}{7}\)- \(\frac{11}{13}\)
= 4,95 - \(\frac{11}{7}-\frac{11}{13}\)
= \(\frac{473}{140}-\frac{11}{13}\)
= \(\frac{4609}{1820}\)
=43/306:599/105x1473/1820
=1505/61098x1473/1820
=0.01993613035
\(...=-\dfrac{4}{7}-\dfrac{3}{11}+\dfrac{3}{11}-\dfrac{3}{7}=-\dfrac{4}{7}-\dfrac{3}{7}=-1\)
-(4/7 + 3/11) - (-3/11 + 3/7)
= (-4/7) + (-3/11) - (-3/11) - 3/7
= [(-4/7) - 3/7)] + [(-3/11) - (-3/11)]
= -1 + 0
= -1