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
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
a)37/53x23/48x535353/373737x242424/232323
=37/53x23/48x53/37x24/23
=851/2544x1272/851
=1/2
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
Trả lời :
\(\frac{1998\times1996+1997\times11+1985}{1997\times1996-1995\times1996}\)
\(=\frac{1998\times1996+\left(1996+1\right)\times11+1985}{1996\times\left(1997-1995\right)}\)
\(=\frac{1998\times1996+1996\times11+11+1985}{1996\times2}\)
\(=\frac{1998\times1996+1996\times11+1996}{1996\times2}\)
\(=\frac{1996\times\left(1998+11+1\right)}{1996\times2}\)
\(=\frac{2010}{2}\)
\(=1005\)
Ta có : ( 1998 * 1996 + 1997 * 11 + 1985 ) / ( 1997 * 1996 - 1995 * 1996 ) .
= ( 1998 * 1997 - 1998 + 1997 * 11 + 1985 ) / 1996 * ( 1997 - 1995 ) .
= [ 1997 * ( 1998 + 11 ) - 1998 + 1985 ] / 1996 * 2 .
= [ 1997 * 2009 - 13 ] / 1996 * 2 .
= [ 1996 * 2009 + 2009 - 13 ] / 1996 * 2 .
= [ 1996 * 2009 + 1996 ] / 1996 * 2 .
= [ 1996 * ( 2009 + 1 ) / 1996 * 2 .
= 1996 * 2010 / 1996 * 2 .
= 1005 .