So sánh A và B
A=\(\frac{115^{17}+2}{115^{17}-1}\)
B=\(\frac{115^{17}}{115^{17}-3}\)
So sánh
\(A=\frac{115^{17}+2}{115^{17}-1}\)
\(B=\frac{115^{17}}{115^{17}-3}\)
\(A=\frac{115^{17}+2}{115^{17}-1}=\frac{115^{17}}{115^{17}-\left(2+1\right)}=\frac{115^{17}}{115^{17}-3}\)
\(\Rightarrow A=B\)
Ta có :
A = \(\frac{115^{17}+2}{115^{17}-1}\)= \(\frac{115^{17}-1+3}{115^{17}-1}\)= 1 + \(\frac{3}{115^{17}-1}\)
B = \(\frac{115^{17}}{115^{17}-3}\)= \(\frac{115^{17}-3+3}{115^{17}-3}\)= 1 + \(\frac{3}{115^{17}-3}\)
Vì 11517 - 1 > 11517 - 3 nên \(\frac{3}{115^{17}-3}\) < \(\frac{3}{115^{17}-1}\)
Vậy :1 + \(\frac{3}{115^{17}-1}\) < 1 + \(\frac{3}{115^{17}-3}\) hay A < B
Cho A= 11517 +2/ 11517 -1
B = 11517 /11517 -3
Thực hiện phép tính hợp lý.
a, 23.15 – [ 115 + ( 12 - 25)]
b, (85 + 106 +17) – (85+17
c, \(\frac{5}{12}\)+ \(\frac{3}{16}\)
\(\dfrac{17}{13}+\dfrac{61}{115}-\dfrac{4}{3}+\dfrac{54}{115}+\dfrac{2004}{2005}\)
\(Sửa:\dfrac{17}{13}+\dfrac{61}{115}-\dfrac{4}{13}+\dfrac{54}{115}+\dfrac{2004}{2005}\\ =\left(\dfrac{17}{13}-\dfrac{4}{13}\right)+\left(\dfrac{61}{115}+\dfrac{54}{115}\right)+\dfrac{2004}{2005}\\ =1+1+\dfrac{2004}{2005}=\dfrac{6014}{2005}\)
So sanh cac so sau day 1 cach nhanh chong
A/ 3/4 va 115/14
B/ 2000/1999 a 1998//1999
C/ -17/234 va 1/1995
D/ 23/-15 va -17/-49
a) 3/4 < 1
115/14 > 1
=> 3/4 < 115/14
b) 2000/1999 > 1
1998/1999 < 1
=> 2000/1999>1998/1999
c)-17/234 < 0 , 1/1995 > 0
=> -17/234 < 1/1995
d) 23/-15 < 0 ; -17/-49>0
=> 23/-15 < -17/-49
Tính : A = \(\dfrac{\dfrac{1}{14}-\dfrac{1}{30}-\dfrac{1}{46}}{\dfrac{2}{35}-\dfrac{2}{75}-\dfrac{2}{115}}\):\(\frac{\frac{3}{8}-\frac{15}{17}+\frac{30}{31}}{\frac{1}{6}-\frac{20}{51}+\frac{40}{93}}\)
tính hợp lý
1, 17 (-84) + 17 (-16)
2, 15 (58) -15 (48)
3, -37 (86) + 37.76
4, 1975 (-115) + 1975.75
5, 79.89 -79 (-11)
1, 17.(-84) + 17.(-16)
= - 17.84 - 17.16
= -17.(84 + 16)
= -17.100
= -1700
2; 15.(58) - 15.(48)
= 15.(58 - 48)
= 15. 10
= 150
3, -37.86 + 37.76
= -37.(86 - 76)
= -37.10
= - 370
4, 1975.(-115) + 1975.75
= 1975. (-115 + 75)
= 1975 .(-40)
= - 79000
5, 79.89 - 79.(-11)
= 79.(89 + 11)
= 79.100
= 7900
1, 17.(-84) + 17.(-16)
= - 17.84 - 17.16
= -17.(84 + 16)
= -17.100
= -1700
2; 15.(58) - 15.(48)
= 15.(58 - 48)
= 15. 10
= 150
3, -37.86 + 37.76
= -37.(86 - 76)
= -37.10
= - 370
4, 1975.(-115) + 1975.75
= 1975. (-115 + 75)
= 1975 .(-40)
= - 79000
5, 79.89 - 79.(-11)
= 79.(89 + 11)
= 79.100
= 7900
so sánh 2 số
333/334 và 279/280
111/115 vaf555/559
13^15+1/13^16+1/13^16+1/13^17+1
Tìm x, biết:
a) (x - 17) - 115 = 0; b) 315 + (146 - x) = 401
a. x - 17 = 115
x = 115 + 17
x = 132
b. 315 + ( 146 - x ) = 401
146 - x = 401 - 315
146 - x = 86
x = 60