Tinh
1995*1996-1000/1995*1995+995
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a) \(\dfrac{1997x1996-1}{1995x1997+1996}=\dfrac{1997x\left(1995+1\right)-1}{1995x1997+1996}\)
\(=\dfrac{1997x1995+1997-1}{1995x1997+1996}=\dfrac{1997x1995+1996}{1995x1997+1996}=1\)
b) \(\dfrac{1997x1996-995}{1995x1997+1002}=\dfrac{1997x\left(1995+1\right)-995}{1995x1997+1002}\)
\(=\dfrac{1997x1995+1997-995}{1995x1997+1002}=\dfrac{1997x1995+1002}{1995x1997+1002}=1\)
\(\dfrac{1995\cdot\left(1995+1\right)-1000}{1995\cdot1995+995}\) = \(\dfrac{1995\cdot1995+1995-1000}{1995\cdot1995+995}\)
= \(\dfrac{1995\cdot1995+995}{1995\cdot1995+995}\) = \(1\)
a)37/53x23/48x535353/373737x242424/232323
=37/53x23/48x53/37x24/23
=851/2544x1272/851
=1/2
a) \(\frac{399\cdot45+55\cdot399}{1995\cdot1996-1991\cdot1995}\)
\(=\frac{399\cdot\left(45+55\right)}{1995\cdot\left(1996-1991\right)}\)
\(=\frac{399\cdot100}{1995\cdot5}\)
\(=4\)
=))
a) \(\frac{399\cdot45+55\cdot399}{1995\cdot1996-1991\cdot1995}\)
\(=\frac{399\cdot\left(45+55\right)}{1995\cdot\left(1996-1991\right)}\)
\(=\frac{399\cdot100}{1995\cdot5}\)
\(=4\)
=))
\(\frac{1995\cdot1996-1000}{1995\cdot1995+995}=\frac{1995.1995+1995-1000}{1995.1995+995}=\frac{1995.1995+995}{1995.1995+995}=1\)
1996 * 1995 - (996 + 1000 + 1996*1996)
= 1996*1995 - (1996 x (1 + 1996))
= 1996*(1995 - 1996 - 1)
= 1996* -2
=-3992
1996 * 1995 - (996 + 1000 + 1996*1996)
= 1996*1995 - (1996 x (1 + 1996))
= 1996*(1995 - 1996 - 1)
= 1996* -2
=-3992
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
3982015
1995x1996-1000:1995x1995+995=3982015