Tính nhanh 54*450+18*126*3+848*27
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\(\frac{1\cdot3\cdot9+2\cdot6\cdot18+3\cdot9\cdot27}{1\cdot5\cdot18+2\cdot10\cdot36+3\cdot15\cdot54}\)
\(=\frac{1\cdot3\cdot9+2\left(1\cdot3\cdot9\right)+3\left(1\cdot3\cdot9\right)}{1\cdot5\cdot18+2\left(1\cdot5\cdot18\right)+3\left(1\cdot5\cdot18\right)}\)
\(=\frac{\left(1\cdot3\cdot9\right)\left(1+2+3\right)}{\left(1\cdot5\cdot18\right)\left(1+2+3\right)}\)
\(=\frac{3}{10}\)
Đề:45+27+65+46+35+73+54+18+27
=(27+73)+(65+35)+(54+46)+(45+27+18)
=100+100+100+90
=390
\(a,123\times54+27\times123-12\times123+123\times31\)
\(=123\times\left(54+27-12+31\right)\)
\(=123\times100\)
\(=12300\)
\(b,\dfrac{121}{27}\times\dfrac{54}{11}< n< \dfrac{100}{21}:\dfrac{25}{126}\)
\(22< n< \dfrac{100}{21}\times\dfrac{126}{25}\)
\(22< n< 24\)
Vì \(23>22\) và \(23< 24\) nên \(n=23\)
a123x54+27x123-12x123+123x31
=123:54+27:123-12:123+123:31
=6642+27:123-12:123+123:31
=6642+3321-12:123+123:31
=6642+3321-1476+123:31
=6642+3321-1476+3813
=12300
b,121/27x54/11<n>100/21:25/126
=22<n>24
n=23
bài 1"
121/27 x 54/11 < n < 100/21 : 25/126
=> 22 < n < 24
mà n là số tự nhiên
=> n = 23
Bài 2:
(m:1 - m x 1) : ( m x 2005 + m + 1)
= (m-m) : ( m x 2005 + m + 1)
= 0 : (m x 2005 + m + 1) = 0
1.
\(\frac{121}{27}\times\frac{54}{11}< n< \frac{100}{21}:\frac{25}{126}\)
=> \(22< n< 24\)
Mà n là số tự nhiên
=> n = 23
2.
( m : 1 + m x 1 ) : ( m x 2005 + m + 1 )
= ( m - m ) : ( m x 2005 + m + 1 )
= 0 : ( m x 2005 + m + 1 )
= 0
2/9 + 6/27 + 8/36 + 12/54 + 16/72 + 18/81=\(\frac{2}{9}+\frac{2}{9}+\frac{2}{9}+\frac{2}{9}+\frac{2}{9}+\frac{2}{9}\) = \(\frac{2}{9}\). 6 = \(\frac{12}{9}\)= \(\frac{4}{3}\)
\(\frac{2}{9}+\frac{6}{27}+\frac{8}{36}+\frac{12}{54}+\frac{16}{72}+\frac{18}{81}\)
\(=\frac{2}{9}+\frac{2}{9}+\frac{2}{9}+\frac{2}{9}+\frac{2}{9}+\frac{2}{9}\)
\(=\frac{2}{9}×6=\frac{4}{3}\)
\(54\times450+18\times126\times3+848\times27\)
\(=54\times450+\left(18\times3\right)\times126+\left(27\times2\right)\times424\)
\(=54\times450+54\times126+54\times424\)
\(=54\times\left(450+126+424\right)\)
\(=54\times\left(450+550\right)\)
\(=54\times1000\)
\(=54000\)
54000