Tính nhanh : B = ( 1999 x 1998 + 1998 x 1997 ) x ( 1 + \(\frac{1}{2}\): 1\(\frac{1}{2}\)- 1\(\frac{1}{3}\))
Mình cần rất gấp
Tính giá trị biểu thức :
B = ( 1999 x 1998 + 1998 x 1997 ) x ( 1 + \(\frac{1}{2}\): 1\(\frac{1}{2}\)- 1\(\frac{1}{3}\))
Tính theo kiểu tính nhanh ý.
Bài 7 :Tính nhanh:
a) 2/3:5/7x5/7:2/3+1934
b) (30 : \(7\frac{1}{2}\)+0,5 x 3 -1,5 ) x (\(4\frac{1}{2}-\frac{9}{2}\)) : ( 14,5 x 1000 )
c) (1999 x 1998 + 1998 x 1997 ) x ( 1 + 1/2 : 1\(\frac{1}{2}\)-1\(\frac{1}{3}\))
b) \(\frac{1}{1000}+\frac{13}{1000}+\frac{25}{1000}+...+\frac{87}{1000}+\frac{99}{1000}\)
\(=\frac{1+13+25+...+85+97}{1000}=\frac{\left(97+1\right).\left[\left(97-1\right):12+1\right]:2}{1000}\)
\(=\frac{49.9}{1000}=\frac{441}{1000}.\) ( Đề bài sai nhé bạn tử số : 1; 13; 25; 37; 49 ; 61; 73; 85 ; 97. )
tính nhanh
[1999*1998*1998*1997]*[1+ \(\frac{1}{2}\):\(1\frac{1}{2}\)-\(1\frac{1}{3}\)]
giải nhanh giúp mình nhé
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mình cần cách làm
Tính
A=\(\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+.....+\frac{1}{2000}}{\frac{1999}{1}+\frac{1998}{2}+\frac{1997}{3}+......+\frac{1}{1999}}\)
Ai nhanh và đúng mình tick cho
\(A=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2000}}{\frac{1999}{1}+\frac{1998}{2}+\frac{1997}{3}+....+\frac{1}{1999}}\)
\(=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+....+\frac{1}{2000}}{1+\left(\frac{1998}{2}+1\right)+\left(\frac{1997}{3}+1\right)+....+\left(\frac{1}{1999}+1\right)}\)
\(=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2000}}{\frac{2000}{2}+\frac{2000}{3}+\frac{2000}{4}+....+\frac{2000}{2000}}\)
\(=\frac{\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2000}}{2000\left(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{2000}\right)}\)
\(=\frac{1}{2000}\)
( 1999 x 1998 x 1998 x 1997 ) x ( 1 + \(\frac{1}{2}\) + 1\(\frac{1}{2}\) + 1\(\frac{1}{3}\))
( 1999 * 1998 + 1998 * 1997) * ( 1 +\(\frac{1}{2}:\frac{3}{2}-\frac{4}{3}\)) = ?
Mình cần gấp lắm nên mong các bạn giải cả cách làm hộ mình nhé!
Thank you so much!
Tính nhanh:
( 1999 x 1998 + 1998 x 1997 ) x ( 1 + 1/2 : 1 1/2 - 1 1/3)
\(=\left(1999\times1998+1998\times1997\right)\times\left(1+\dfrac{1}{2}:1\dfrac{1}{2}-1\dfrac{1}{3}\right)\)
\(=\left(1999\times1998+1998\times1997\right)\times\left(1+\dfrac{1}{2}:\dfrac{3}{2}-\dfrac{4}{3}\right)\)
\(=\left(1999\times1998+1998\times1997\right)\times\left(1+\dfrac{1}{3}-\dfrac{4}{3}\right)\)
\(=\left(1999\times1998+1998\times1997\right)\times\left(\dfrac{4}{3}-\dfrac{4}{3}\right)\)
\(=\left(1999\times1998+1998\times1997\right)\times0\)
\(=0\)
Tìm x :
a) \(\frac{x+1}{2000}+\frac{x+2}{1999}+\frac{x+ 3}{1998}+\frac{x+4}{1997}=-4\)
\(b.\frac{x+1}{1999}+\frac{x+2}{2000}+\frac{x+3}{2001}=\frac{x+4}{2002}+\frac{x+5}{2003}+\frac{x+6}{2004}\)
\(a.\left(\frac{x+1}{2000}+1\right)+\left(\frac{x+2}{1999}+1\right)+\left(\frac{x+3}{1998}+1\right)+\left(\frac{x+4}{1997}+1\right)=0\)
\(=\frac{x+2001}{2000}+\frac{x+2001}{1999}+\frac{x+2001}{1998}+\frac{x+2001}{1997}=0\)
\(=\left(x+2001\right).\left(\frac{1}{2000}+\frac{1}{1999}+\frac{1}{1998}+\frac{1}{1997}\right)=0\)
\(=>x+2001=0\)
\(x=-2001\)
\(b.\left(\frac{x+1}{1999}-1\right)+\left(\frac{x+2}{2000}-1\right)+\left(\frac{x+3}{2001}-1\right)=\left(\frac{x+4}{2002}-1\right)+\left(\frac{x+5}{2003}-1\right)\)\(+\left(\frac{x+6}{2004}-1\right)\)
\(\frac{x+1998}{1999}+\frac{x+1998}{2000}+\frac{x+1998}{2001}=\frac{x+1998}{2002}+\frac{x+1998}{2003}+\frac{x+1998}{2004}\)
\(\frac{x+1998}{1999}+\frac{x+1998}{2000}+\frac{x+1998}{2001}-\frac{x+1998}{2002}-\frac{x+1998}{2003}-\frac{x+1998}{2004}=0\)
\(\left(x+1998\right).\left(\frac{1}{1999}+\frac{1}{2000}+\frac{1}{2001}-\frac{1}{2002}-\frac{1}{2003}-\frac{1}{2004}\right)=0\)
\(=>x+1998=0\)
\(x=-1998\)
dễ quá!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
\(\frac{x+1}{2000}+\frac{x+2}{1999}+\frac{x+3}{1998}+\frac{x+4}{1997}=-4\)
\(\Leftrightarrow\left(\frac{x+1}{2000}+1\right)+\left(\frac{x+2}{1999}+1\right)+\left(\frac{x+3}{1998}+1\right)+\) \(\left(\frac{x+4}{1997}+1\right)=0\)
\(\Leftrightarrow\frac{x+2001}{2000}+\frac{x+2001}{1999}+\frac{x+2001}{1998}+\frac{x+2001}{1997}=0\)
\(\Leftrightarrow\left(x+2001\right)\left(\frac{1}{2000}+\frac{1}{1999}+\frac{1}{1998}+\frac{1}{1997}\right)=0\)
Mà : \(\frac{1}{2000}+\frac{1}{1999}+\frac{1}{1998}+\frac{1}{1997}\ne0\)
\(\Rightarrow x+2001=0\)
\(\Leftrightarrow x=-2001\)
Bài 7 :Tính nhanh:
a) 2/3:5/7x5/7:2/3+1934
b) (30 : 7\(\frac{1}{2}\) +0,5 x 3 -1,5 ) x (4\(\frac{1}{2}\)−\(\frac{9}{2}\)) : ( 14,5 x 1000 )
c) (1999 x 1998 + 1998 x 1997 ) x ( 1 + 1/2 : 1\(\frac{1}{2}\) -1\(\frac{1}{3}\) )
#)Trả lời :
\(a,\frac{2}{3}:\frac{5}{7}.\frac{5}{7}:\frac{2}{3}+1934\)
\(=\left(\frac{2}{3}:\frac{2}{3}\right).\left(\frac{5}{7}:\frac{5}{7}\right)+1934\)
\(=1.1+1934\)
\(=1935\)
#~Will~be~Pens~#
Trả lời :
\(a,\text{ }\frac{2}{3}\text{ : }\frac{5}{7}\text{ x }\frac{5}{7}\text{ : }\frac{2}{3}+1934\)
\(=\left(\frac{2}{3}\text{ : }\frac{2}{3}\right)\text{ x }\left(\frac{5}{7}\text{ : }\frac{5}{7}\right)+1934\)
\(=1\text{ x }1+1934\)
\(=1935\)
#)Next :
\(\left(30:7\frac{1}{2}+0,5.3-1,5\right)\left(4\frac{1}{2}-\frac{9}{2}\right):\left(14,5.1000\right)\)
\(=\left(30:7\frac{1}{2}+0,5.3-1,5\right)\left(\frac{9}{2}-\frac{9}{2}\right):\left(14,5.1000\right)\)
\(=\left(30:7\frac{1}{2}+0,5.3-1,5\right).0:\left(14,5.1000\right)\)
\(=0\)