tính
2/3+2/15+2/35+2/63+2/99
1/1×2+1/2×3+1/3×4+........+1/1995×1996+1/1996×1997
Những câu hỏi liên quan
tính
2/3+2/15+2/35+2/63+2/99
1/1×2+1/2×3+1/3×4+..........+1/1995×1996+1/1996×1997
câu 1:
\(\frac{2}{3}+\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}\)
\(\hept{\begin{cases}15=3\cdot5\\35=5\cdot7\end{cases}}\\ \hept{\begin{cases}3=3\\63=3^2\cdot7\\99=3^2\cdot11\end{cases}}\)
=>\(\frac{2310}{3465}+\frac{462}{3465}+\frac{198}{3465}+\frac{110}{3465}+\frac{70}{3465}\)
=>\(\frac{2310+462+198+110+70}{3465}\)
=>\(\frac{3150}{3465}\)=\(\frac{10}{11}\)
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1,Tính nhanh a,16×23+35×34+4×108+7×30 b,198×1996+1997×11+1985 ———————————— 1997 × 1996 - 1995 × 1996 c,1/2+2/8+3/28+4/77+5/176
Rút gọn P/S:
a) -315/540
b) 25*13 / 26*35
c) 6*9-2*17 / 63*3-119
d) 3*13-13*18 / 15*40-80
e) (-5)^3 * 40 * 4^3 / 135 * (-2)^14 * (-100)^0
f) 2929-101/2*1919+404
g) -1997*1996+1/(-1995)*(-1997)+1996
h) 2*3+4*6+14*21/3*5+6*10+21*35
i) 3*7*13*37*39-10101/505050-70707
a) \(\frac{-315}{540}=\frac{-7}{12}\)
b) \(\frac{25.13}{26.35}=\frac{5.1}{2.7}=\frac{5}{14}\)
c) \(\frac{6.9-2.17}{63.3-119}=\frac{2.1-2.17}{7.1-119}=\frac{2.\left(1-17\right)}{7.1-119}=\frac{2.\left(-16\right)}{7-119}=\frac{-32}{-112}=\frac{32}{112}=\frac{2}{7}\)
Làm đến đây là choáng r
Các câu típ theo bn làm nhé
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d) 3.13-13.18/15.40-80 = 13.(3-18)/520= 13.(-15)/ 520 = -125/520=-3/8
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\(\frac{1}{2}\times\frac{1}{3}\times\frac{1}{4}\times...\times\frac{1995}{1996}\times\frac{1996}{1997}\)
a) A=1-2-3+4+5-6-7+.....+1996+1997-1998-1999+2000
b) B=1-3+5-7+....+2001-2003+2005
c) C=1-2-3+4+5-6-7+8+.....+1993-1994-1995+1996+1997
d) D=1000+998+996+......+10-999-997-995-...-11
a) A=1-2-3+4+5-6-7+.....+1996+1997-1998-1999+2000
=(1-2-3+4)+(5-6-7+8)+...+(1997-1998-1999+2000)
=0
b) B=1-3+5-7+....+2001-2003+2005
=(1-3)+(5-7)+...+(2001-2003)+2005
=-2.501+2005
=-1002+2005
=1003
c) C=1-2-3+4+5-6-7+8+.....+1993-1994-1995+1996+1997
=(1-2-3+4)+(5-6-7+8)+...+(1993-1994-1995+1996)+1997
=1997
d) D=1000+998+996+......+10-999-997-995-...-11
=(1000-999)+(998-997)+(996-995)+....+(12-11)+10
=1.495+10
=595
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a,x-10/1994+x-8/1996+x-6/1998+x-4/2000+x-2/2002=x-2002/2+x-2000/4+x-1998/6+x-1996/8+x-1994/10
b,x-1991/9+x-1993/7+x-1995/5+x-1997/3+x-1999/1=x-9/1991+x-7/1993+x-5/1995+x-3/1997+x-1/1999
c,x-1/13-2x-13/15=3x-15/27-4x-27/29
M= 1-2-3+4+5-6-7+8+...........+1993-1994-1995+1996+1997.
\(\dfrac{x+1}{1998}\)+ \(\dfrac{x+2}{1997}\)=\(\dfrac{x+3}{1996}\)+\(\dfrac{x+4}{1995}\)
=>(x+1/1998+1)+(x+2/1997+1)=(x+3/1996+1)+(x+4/1995+1)
=>x+1999=0
=>x=-1999
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Tính nhanh
B = 19963 - 1 / 19962 + 1997
C = 19953 + 1 / 19952 - 1994
D = (22 + 42 +...+1002) - (12 + 32 +...+ 992)
E = 38 . 78 - (214 - 1) (214 +1 )