Ti´nh nhanh
1999 x 2001 -1 x 7
1998 x 1999 x 2000 5
Nhân voi 7/5 nha.
giup giai voi
Bài 1 : tính nhanh :
1999 x 2001 - 1 / 1998 + 1999 x 2000 x 7/5
Sửa lại :
\(=\frac{1999.2000+1999-1}{1998+1999.2000}.\frac{7}{5}=\frac{1999.2000+1998}{1998+1999.2000}.\frac{7}{5}=1.\frac{7}{5}=\frac{7}{5}\)
\(\frac{1999.2000-1}{1998+1999.2000}.\frac{7}{5}\)
= \(\frac{-1}{1998}\) . \(\frac{7}{5}\)
= \(\frac{-7}{9990}\)
\(\frac{1999.2000+1999}{1998+1999.2000}.\frac{7}{5}=1+\frac{1}{1998+1999.2000}.\frac{7}{5}=1+\frac{7}{5.\left(1998+1999.2000\right)}=1+\frac{7}{19999990}=\frac{19999997}{19999990}\)
tính nhanh:
1999 x 2001 - 1/1998 + 1999 x 2000 x 7/5
Tinh nhanh
1999 x 2001 -1 x 7/5
1998 x 1999 x 2000
ta sẽ vạn ước chúng
=1x2001-1/1998x1x2000x7/5
=1/1998x7/5
=1x7/5x1998
=7/9990
có sai thì thôi nha
Tính nhanh :
1999 x 2001 - 1 / 1998 / 1998 + 1999 x 2000 x 7/5
cho P(x) la da thuc bac ba voi he so x nguyen biet P(1999)=2000 va P(2000)=2001 chung minh P(2001)-P(1998) la hop so
Help me!
Tính nhanh:
a)B = 1 - 3 + 5 - 7 + 9 - ...... - 1999 + 2001
b)C = 1 + 2 + 3 - 4 + 5 + 6 + 7 - 8 + ...... + 1999 - 2000 + 2001
\(B=1-3+5-7+9-...-1999+2001\)
\(=\left(1-3\right)+\left(5-7\right)+...+\left(1997-1999\right)+2001\)
\(=-2.500+2001=-1000+2001=1001\)
giup minh voi :
S1 : 1+(-2)+3+(-4)+...+2001+(-2002)
S2 1+(-2)+(-3)+4+5+(-6)+(-7)+8+9+(-10)+(-11)+12+...+1997+(-1998)+(-1999)+2000
S1=1+(-2)+...+2001+(-2002)
Có:(2002-1):1+1=2002(số)
S1=(1+(-2))+...+(2001+(-2002))
S1=(-1)+...+(-1)
Có:2002:2=1001(số)
=>S1=(-1).1001
=>S1=-1001
nhóm âm vào âm.dương vào dương
hoặc nhóm số đầu với số cuối số 2 với số kế cuối
S2 thì thấy 4 số liên tiếp có kết quả là 0
sau đó bạn làm như S1 là xong
kết quả là 0 nha bạn
cho mình nhé
tinh nhanh
1999*2001-1/1998+1999*2000 * 7/5
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 : \(\frac{1}{2000}+\frac{1}{1999}+\frac{1}{1998}+\frac{1}{1997}\ne0\)
\(\Rightarrow x+2001=0\)
\(\Leftrightarrow x=-2001\)