Tính:
1) 1996 . 1037 - 1996 . 37
2) (260 - 13) : 13
3) ( 23 . 35 + 35 . 37 ) : 60
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
d) 3.13-13.18/15.40-80 = 13.(3-18)/520= 13.(-15)/ 520 = -125/520=-3/8
1.tính hợp lí :
37/53 * 23/48 * 535353/373737 * 242424/232323
2.Tính nhanh
a, 2003 * 1999 - 2003 * 999 / 2004 * 999 + 1004
b,1998 * 1996 + 1997 +1995 / 1997 * 1996- 1995 * 1996
giải pt
\(\dfrac{x+35}{1984}-\dfrac{x+30}{1989}+\dfrac{x+19}{2000}+\dfrac{x+23}{1996}\text{=}-2\)
`[x+35]/1984-[x+30]/1989+[x+19]/2000+[x+23]/[1996=-2`
`<=>[x+35]/1984+1-[x+30]/1989-1+[x+19]/2000+1+[x+23]/1996+1=0`
`<=>[x+2019]/1984-[x+2019]/1989+[x+2019]/2000+[x+2019]/1996=0`
`<=>(x+2019)(1/1984-1/1989+1/2000+1/1996)=0`
`=>x+2019=0`
`<=>x=-2019`
\(\dfrac{x+35}{1984}-\dfrac{x+30}{1989}+\dfrac{x+19}{2000}+\dfrac{x+23}{1996}\text{=}-2\)
\(\Leftrightarrow\dfrac{x+35}{1984}-\dfrac{x+30}{1989}+\dfrac{x+19}{2000}+\dfrac{x+23}{1996}+3-1\text{=}0\)
\(\Leftrightarrow\left(\dfrac{x+35}{1984}+1\right)-\left(\dfrac{x+30}{1989}+1\right)+\left(\dfrac{x+19}{2000}+1\right)+\left(\dfrac{x+23}{1996}+1\right)\text{=}0\)
\(\Leftrightarrow\dfrac{x+2019}{1984}-\dfrac{x+2019}{1989}+\dfrac{x+2019}{2000}+\dfrac{x+2019}{1996}\text{=}0\)
\(\Leftrightarrow\left(x+2019\right)\left(\dfrac{1}{1984}-\dfrac{1}{1989}+\dfrac{1}{2000}+\dfrac{1}{1996}\right)\text{=}0\)
\(\Leftrightarrow\left(x+2019\right)\text{=}0\)
\(\Leftrightarrow x\text{=}-2019\)
*Sửa: Lỗi ở đề
`[x+35]/1984-[x+30]/1989+[x+19]/2000+[x+23]/1996=-2`
Bài 1: so sánh phân số bằng cách hợp lí nhất
a, 7/11 và 17/23 b, 34/43 và 35/42
c, 12/48 và 13/47 d, 23/48 và 47/92
e, 25/30 và 75/97 f, 23/47 và 24/45
Bài 2: so sánh
a, 16/27 và 15/29 b, 1995/1996 và 1996/1997
c, 327/326 và 326/325
tính nhanh
a, 4/5 * 3/7 + 4/5 * 4/7
b, 20 * 45 + 55 * 20/35 * 1996 - 1991 * 35
c, (1 - 1/2) * (1 - 1/3) * (1 - 1/4) * (1 - 1/5)
a) 4/5 x 3/7 + 4/5 x 4/7
= 4/5 x ( 3/7 + 4/7 )
= 4/5 x 1
= 4/5
a) 4/5 x ( 3/7 + 4/7 )
= 4/5 x 1
= 4/5
b) 20 x 45 + 55 x 20 : 35 x 1996 - 1991 x 35
= 20 x ( 45 + 55 ) : 35 x ( 1996 - 1991 )
= 20 x 100 : 35 x 5
= 5 x 4 x 100 : 35 x 5
= 5 x 400 : 35 x 5
= \(\frac{5\cdot400}{35\cdot5}\Rightarrow=\frac{400}{35}.\)
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:
\(\frac{2}{3}+\frac{2}{15}+\frac{2}{35}+\frac{2}{63}+\frac{2}{99}\)
\(\hept{\begin{cases}15=3\cdot5\\35=5\cdot7\end{cases}}\\ \hept{\begin{cases}3=3\\63=3^2\cdot7\\99=3^2\cdot11\end{cases}}\)
=>\(\frac{2310}{3465}+\frac{462}{3465}+\frac{198}{3465}+\frac{110}{3465}+\frac{70}{3465}\)
=>\(\frac{2310+462+198+110+70}{3465}\)
=>\(\frac{3150}{3465}\)=\(\frac{10}{11}\)
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
Bài 9: Tính
a) 1 + 7 + 8 + 15 + 23 + …. + 160;
b) 1 + 4 + 5 + 9 + 14 + …. + 60 + 97;
c) 78. 31 + 78. 24 + 78. 17 + 22. 72.
d) (456. 11 + 912). 37 : 13 : 74
e) [(315 + 372). 3 + (372 + 315). 7] : (26. 13 + 74. 14)