tinh nhanh
(7^2003+7^2002):7^2002
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\(\left(7^{2003}+7^{2002}\right):7^{2001}\)
\(=\left(7^{2003}+7^{2002}\right).\frac{1}{7^{2001}}\)
\(=\frac{7^{2003}}{7^{2001}}+\frac{7^{2002}}{7^{2001}}\)
\(=7^2+7=49+7=56\)
S = 1-2-3+4+5-6-7+8+...+2001-2002-2003+2004
S = (1-2-3+4) + (5-6-7+8) + ...+ (2001-2002-2003+2004)
S = 0 + 0 + ...+ 0
S = 0
a) Ta có: S = 1 - 2 - 3 + 4 + 5 - 6 - 7+ 8 + ... + 2001 - 2002 - 2003 + 2004
\(\Rightarrow\) S = (1 - 2 - 3 + 4) + (5 - 6 - 7+ 8) + ... + (2001 - 2002 - 2003 + 2004)
\(\Rightarrow\) S = (-4 + 4) + (-8 + 8) + ... + (-2004 + 2004)
\(\Rightarrow\) S = 0 + 0 + ... + 0
\(\Rightarrow\) S = 0
\(=\frac{2002x2002+1}{2002\left(2003-1\right)}=\frac{2002x2002+1}{2002x2002}=1+\frac{1}{2002x2002}\)
Tinh nhanh
2003×14+1998+2001×2002 / 2002+2002×503+504×2003
Viet ro loi giai nhe! Ai nhanh mk tk cho!
2003x14+1998+2001x2002/2002+2002x503+504x2003 =2003x14+1998+2001x1+2002x503+504x2003 =2003x14+1998+2001+2002x503+504x2003 =28042+1998+2001+1007006+1009512 =(28042+1009512+1007006)+1998+2001 =2044560+1998+2001=2048559 TK MIk nha bn! mk tra loi dau tien ma ! Giu loi hua nhe!
2003 x 14 + 1988 + 2001 x 2002
=28042 + 1988 + 4006002
=4036032
2002 + 2002 x 503 +504 x 2002
=2002 x 1 + 2002 x 503 + 504 x 2002
=2002 x (1 + 503 + 504)
=2002 x 908
=1817816
a) \(1-2-3+4+5-6-7+...+2001-2002-2003+2004\)
\(=\left(1-2-3+4\right)+\left(5-6-7+8\right)+...+\left(2001-2002-2003+2004\right)\)
\(=0+0+...+0=0\)
b) \(1+2-3-4+5+6-7-8+...+2001+2002-2003-2004\)
\(=\left(1+2-3-4\right)+\left(5+6-7-8\right)+...+\left(2001+2002-2003-2004\right)\)
\(=\left(-4\right)+\left(-4\right)+...+\left(-4\right)\)
\(=\left(-4\right)\cdot501=\left(-2004\right)\)
(72003 + 72002) : 72002
= (72003 + 72002) . 1/72002
\(=\frac{7^{2003}}{7^{2002}}+\frac{7^{2002}}{7^{2002}}=7+1=8\)
= 7 ^ 2002 + 7 ^2003 ÷ 7 ^ 2002 +7 ^ 2002 = 7