\(1098\cdot90+5476\)

\(=98820+5476\)

\(=104296\)

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\(203+203\cdot12-203\cdot3\)

\(=203\cdot\left(1+12-3\right)\)

\(=203\cdot10\)

\(=2030\)

\(\left(x+28\right):11=54\)

\(x+28=54\cdot11\)

\(x+28=594\)

\(x=594-28\)

\(x=566\)

\(x+123+423=1098\)

\(x+546=1098\)

\(x=1098-546\)

\(x=552\)

\(Số\) \(số\) \(hạng:\)

\(\left(100-1\right):1+1=100\)

\(Tổng\) \(dãy\) \(số:\)

\(\left[\left(100+1\right)\cdot100\right]:2\)

\(=101\cdot100:2\)

\(=10100:2\)

\(=5050\)

\(\left(\dfrac{1}{3}+\dfrac{1}{9}+\dfrac{1}{18}\right):\dfrac{2}{9}\)

\(=\left(\dfrac{6}{18}+\dfrac{2}{18}+\dfrac{1}{18}\right):\dfrac{2}{9}\)

\(=\dfrac{9}{18}:\dfrac{2}{9}\)

\(=\dfrac{1}{2}:\dfrac{2}{9}\)

\(=\dfrac{1}{2}\cdot\dfrac{9}{2}\)

\(=\dfrac{9}{4}\)

$3876\cdot 375+375\cdot 6124$

$=375\cdot \left(3876+6124\right)$

$=375\cdot 10000$

$=3750000$

\(234\cdot1257-234\cdot257\)

\(=234\cdot\left(1257-257\right)\)

\(=234\cdot1000\)

\(=234000\)