a.\(\dfrac{1996\cdot2011-1000}{996+2010\cdot1996}\)
\(=\dfrac{1996\cdot2011-1-1000}{996+4+2010\cdot1996}\)
\(=1\)
b,\(\dfrac{45678\cdot1997+3333}{1998+45678-12345}\)
\(=\dfrac{45678\cdot1998+3333}{1998+45678-12345}\)
\(=\dfrac{1111}{4115}\)
a.\(\dfrac{1996\cdot2011-1000}{996+2010\cdot1996}\)
\(=\dfrac{1996\cdot2011-1-1000}{996+4+2010\cdot1996}\)
\(=1\)
b,\(\dfrac{45678\cdot1997+3333}{1998+45678-12345}\)
\(=\dfrac{45678\cdot1998+3333}{1998+45678-12345}\)
\(=\dfrac{1111}{4115}\)
Bài 1.( 2 điểm)Tính bằng cách hợp lí:
a) \(\dfrac{1}{2}+\dfrac{9}{10}+\dfrac{5}{6}-\dfrac{11}{14}-\dfrac{1}{3}+\dfrac{-4}{35}\)
b) \(\left(\dfrac{18}{23}+\dfrac{7}{12}\right)+\left(\dfrac{-13}{19}-\dfrac{3}{4}\right)+\left(\dfrac{-6}{19}+\dfrac{5}{23}\right)\)
c) \(\dfrac{4}{3}+\dfrac{-5}{6}+\dfrac{-1}{4}\)
d) \(\dfrac{5}{6}-\dfrac{7}{5}+\dfrac{17}{30}\)
tính một cách hợp lí:
a) \(\dfrac{-5}{18}+\dfrac{32}{45}-\dfrac{9}{10}\)
b) \(\left(\dfrac{-1}{4}+\dfrac{51}{33}-\dfrac{5}{3}\right)-\left(\dfrac{-15}{12}+\dfrac{6}{11}-\dfrac{42}{29}\right)\)
c) \(1-\dfrac{1}{2}+2-\dfrac{2}{3}+3-\dfrac{3}{4}+4-\dfrac{1}{4}-3-\dfrac{1}{3}-2-\dfrac{1}{2}-1\)
giải chi tiết giúp mình nha
CMR: \(3^{45678}+4^{45678}\) chia hết cho 13
CMR: \(3^{45678}+4^{45678}\) chia hết cho 13
Tính hợp lí:
A=\(\dfrac{3}{1.3}+\dfrac{3}{3.5}+\dfrac{3}{5.7}+...+\dfrac{3}{49.51}\)
B=\(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+...+\dfrac{1}{3^8}\)
Giúp mik nha mik đang cần rất là gấp nha !!!!!!!!!!
Tính bằng cách hợp lí :
a, \(\frac{2012\cdot2011-1}{2010\cdot2012+2011}\)
b, \(10,11+11,12+12,13+...+97,98+98,99+99,100\)
Tính hợp lí:
a) (100-9)(99-9)(98-9)...(1-9).
b) \(\left(1-\dfrac{1}{100}\right)\left(1-\dfrac{1}{99}\right)...\left(1-\dfrac{1}{2}\right)\)
c) \(\dfrac{1}{1.2}+\dfrac{1}{2.3}+...+\dfrac{1}{99.100}\)
a) A=1-2-3+4+5-6-7+.....+1996+1997-1998-1999+2000
b) B=1-3+5-7+....+2001-2003+2005
c) C=1-2-3+4+5-6-7+8+.....+1993-1994-1995+1996+1997
d) D=1000+998+996+......+10-999-997-995-...-11
1996 *1995 -996-1000 -1996* 1996
Tính nhanh \(\frac{1996\times1995-996}{1000+1996\times1994}=?\)