123 X 11 + 123 = ?
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\(a,123\times54+27\times123-12\times123+123\times31\)
\(=123\times\left(54+27-12+31\right)\)
\(=123\times100\)
\(=12300\)
\(b,\dfrac{121}{27}\times\dfrac{54}{11}< n< \dfrac{100}{21}:\dfrac{25}{126}\)
\(22< n< \dfrac{100}{21}\times\dfrac{126}{25}\)
\(22< n< 24\)
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
11 + 22 + ( \(x\) x 2 + \(x\) x 199 ) : 33 = 123 x 123
33 + \(x\) ( 2 + 199) : 33 = 15129
201\(x\) : 33 = 15129 - 33
201\(x\) : 33 = 15096
201\(x\) = 15096 x 33
201\(x\) = 498168
\(x\) = 498168 : 201
\(x\) = 166056/67
a) \(3119\cdot121-3119\cdot11\cdot11\)
\(=3119\cdot121-3119\cdot\left(11\cdot11\right)\)
\(=3119\cdot121-3119\cdot121\)
\(=3119\left(121-121\right)\)
\(=0\)
b) \(24\cdot\left(123\cdot87\right)+\left(87\cdot123\right)\cdot76\)
\(=\left(123\cdot87\right)\cdot\left(76+24\right)\)
\(=\left(123\cdot87\right)\cdot100\)
\(=1070100\)
\(\Leftrightarrow\dfrac{5}{4}\left(\dfrac{4}{3\cdot7}+\dfrac{4}{7\cdot11}+...+\dfrac{4}{x\left(x+4\right)}\right)=\dfrac{50}{123}\)
=>(1/3-1/7+1/7-1/11+...+1/x-1/x+4)=50/123:5/4=50/123*4/5=40/123
=>1/3-1/x+4=40/123
=>1/x+4=1/123
=>x+4=123
=>x=119
=1476 nhé
chúc bnạ học tốt
TL
123 x 11 + 123
=123 x (11+1)
=123 x 12
=1476