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2010 x 2010 - 2009 x 2011
= ( 2011 - 2010 ) x 2010 - 2009 x 2011
= 2011 x 2010 - 1 x 2010 - 2009 x 2011
= 2011 x ( 2010 - 2009 ) - 1 x 2010
= 2011 x 1 - 2010
= 2011 - 2010
= 1
( 456 x 11 + 912 ) x 37 : ( 13 x 74 )
= ( 456 x 11 + 456 x 2 ) x 37 : ( 13 x 74 )
= [ 456 x ( 11 + 2 ) ] x 37 : ( 13 x 74 )
= [ 456 x 13 ] x 37 : ( 13 x 74 )
= 13 x 456 x 37 : ( 13 x 37 x 2 )
= 13 x 37 x 2 x 228 : ( 13 x 37 x 2 )
= ( 13 x 37 x 2 ) x 228 : ( 13 x 37 x 2 )
= ( 13 x 37 x 2 ) : ( 13 x 37 x 2 ) x 228
= 1 x 228
= 228
(44 x 52 x 60) : (11 x13 x 15 )
= [ ( 4 x 11 ) x ( 4 x 13 ) x ( 4 x 15 ) ] : (11 x13 x 15 )
= [ 4 x 11 x 4 x 13 x 4 x 15 ] : (11 x13 x 15 )
= [ ( 4 x 4 x 4 ) x ( 11 x 13 x 15 ) ] : (11 x13 x 15 )
= 64 x (11 x13 x 15 ) : (11 x13 x 15 )
= 64 x 1
= 64
a) 2010 x 2010 - 2009 x 2011
= 2010 x 2010 - [ 2009 x ( 2010 +1) ]
=2010 x 2010 - 2009 x 2010 - 2009
=2010( 2010 - 2009 ) -2009
= 2010 -2019
= 1
c) ( 44 x 52 x60 ) : (11x13x15)
\(\frac{44\cdot52\cdot60}{11\cdot13\cdot15}=\frac{4\cdot11\cdot4\cdot13\cdot4\cdot15}{11\cdot13\cdot15}=64\)
B) (456 x 11 +912) x 37 : ( 13 x 74 )
= \(\frac{\left(456\cdot11+912\right)\cdot37}{13\cdot74}=\frac{\left[456\left(11+2\right)\right]\cdot37}{13\cdot37}=\frac{456\cdot13}{13\cdot2}=\frac{456}{2}=228\)
Nhớ k mik nha bn
( 456 x 11 + 912 ) x 37 : 13 x 74
= ( 5 016 + 912 ) x 37 : 13 x 74
= 5 928 x 37 : 13 x 74
= 219 336 : 13 x 74
= 16 872 x 74
= 1 248 528
a. 9999.997 + 9999 + 9999 + 9999
= 9999.(997 + 1 + 1 + 1)
= 9999 . 1000
= 9999000
b. (456 . 11 + 912) . 37 : 13 : 74
= (5016 + 912) . 37 : 13 : 74
= 219336 : 13 : 74
= 16872 : 74
= 228
c. 864 . 48 - 432 . 96 : 864 . 48 . 432
= (864 . 48 - 432 . 96) : (864 . 48 . 432)
= 0 : (864 . 48 . 432)
= 0
a. 9999.997 + 9999 + 9999 + 9999
= 9999.(997 + 1 + 1 + 1)
= 9999 . 1000
= 9999000
b. (456 . 11 + 912) . 37 : 13 : 74
= (5016 + 912) . 37 : 13 : 74
= 219336 : 13 : 74
= 16872 : 74
= 228
c. 864 . 48 - 432 . 96 : 864 . 48 . 432
= (864 . 48 - 432 . 96) : (864 . 48 . 432)
= 0 : (864 . 48 . 432)
= 0
c) \(A=\frac{4}{1.3}+\frac{4}{3.5}+\frac{4}{5.7}+...+\frac{4}{49.51}\)
\(A=2.\left(\frac{2}{1.3}+\frac{2}{2.5}+\frac{2}{5.7}+...+\frac{2}{49.51}\right)\)
\(A=2.\left(\frac{3-1}{1.3}+\frac{5-3}{3.5}+\frac{7-5}{5.7}+...+\frac{51-49}{49.51}\right)\)
\(A=2.\left(1-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{49}-\frac{1}{51}\right)\)
\(A=2.\left(1-\frac{1}{51}\right)=2.\frac{50}{51}=\frac{100}{51}\)
Vậy \(A=\frac{100}{51}\)
d) \(B=\frac{1}{2}+\frac{1}{6}+\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}\)
\(B=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+\frac{1}{6.7}+\frac{1}{7.8}+\frac{1}{8.9}+\frac{1}{9.10}\)
\(B=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)
\(B=1-\frac{1}{10}=\frac{9}{10}\)
Vậy \(B=\frac{9}{10}\)
(456x11+912)x37:13x74
= (5016+912)x37:13x74
= 5928 x37:13x74
= 219336 :13x74
= 16872 x74
= 1248528.
K nhé
\(\left(456\times11+912\right)\times37:13\times74\)
\(=\left(5016+912\right)\times37:13\times74\)
\(=5928\times37:13\times74\)
\(=219336:13\times74\)
\(=16872\times74\)
\(=1248528\)