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\(\left(-\dfrac{7}{23}\right).\left(\dfrac{13}{28}\right)+\left(-\dfrac{7}{23}\right).\left(\dfrac{25}{28}\right)\)
\(=\left(-\dfrac{7}{23}\right).\left(\dfrac{13}{28}+\dfrac{25}{28}\right)\)
\(=\left(-\dfrac{7}{23}\right).\left(\dfrac{38}{28}\right)\)
\(=\left(-\dfrac{7}{23}\right).\left(\dfrac{19}{14}\right)\)
\(=-\dfrac{19}{46}\)
\(\left(-\dfrac{7}{23}\right)\cdot\left(\dfrac{13}{28}\right)+\left(-\dfrac{7}{13}\right)\cdot\left(\dfrac{25}{28}\right)\)
\(=\left(-\dfrac{7}{23}\right)\cdot\left(\dfrac{13}{28}+\dfrac{25}{28}\right)\)
\(=\left(-\dfrac{7}{13}\right)\cdot\dfrac{38}{28}\)
\(=\left(-\dfrac{7}{13}\right)\cdot\dfrac{19}{14}\)
\(=-\dfrac{19}{26}\)
a, \(\dfrac{1}{2}\) - ( - \(\dfrac{1}{3}\) ) + \(\dfrac{1}{23}\) + \(\dfrac{1}{6}\)
= \(\dfrac{5}{6}\) + \(\dfrac{1}{23}\) + \(\dfrac{1}{6}\)
= 1 + \(\dfrac{1}{23}\)
= \(\dfrac{24}{23}\)
b, \(\dfrac{11}{24}\) - \(\dfrac{5}{41}\) + \(\dfrac{13}{24}\) + 0,5 - \(\dfrac{36}{41}\)
= (\(\dfrac{11}{24}\) + \(\dfrac{13}{24}\)) - ( \(\dfrac{5}{41}\) + \(\dfrac{36}{41}\)) + 0,5
= 1 - 1 + 0,5
= 0,5
c,\(-\dfrac{1}{12}-\left(\dfrac{1}{6}-\dfrac{1}{4}\right)\)
=\(-\dfrac{1}{12}-\left(-\dfrac{1}{12}\right)\)
=0
d, \(\dfrac{1}{6}-\left[\dfrac{1}{6}-\left(\dfrac{1}{4}+\dfrac{9}{12}\right)\right]\)
= \(\dfrac{1}{6}-\left[\dfrac{1}{6}-1\right]\)
= \(\dfrac{1}{6}-\left(-\dfrac{5}{6}\right)\)
= 1
i don't now
mong thông cảm !
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\(A=\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{100^2}\)
ta có :
\(\frac{1}{2^2}< \frac{1}{1\cdot2}\)
\(\frac{1}{3^2}< \frac{1}{2\cdot3}\)
\(\frac{1}{4^2}< \frac{1}{3\cdot4}\)
...
\(\frac{1}{100^2}< \frac{1}{99\cdot100}\)
nên \(A< \frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{99\cdot100}\)
\(\Rightarrow A< 1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)
\(\Rightarrow A< 1-\frac{1}{100}\)
\(\Rightarrow A< \frac{99}{100}< 1\)
\(\Rightarrow A< 1\left(đpcm\right)\)
nhiều qá lm sao nổi
\(13.\left(23+22\right)-3.\left(17+28\right)\)
\(=13.23+22-3.17+28\)
\(=13.\left(23+17\right)-3\left(22+28\right)\)
\(=13.40-3.50\)
\(=520-150=370\)
\(-48+48.\left(-78\right)+48.\left(-21\right)\)
\(=48.\left[-78+\left(-21\right)-1\right]\)
\(=48.\left(-100\right)=-4800\)
245 - 150 : [(23 - 13)2.(-4) -10] + 20233
= 245 - 150 : [(8 - 13)2..(-4) - 10] + 20233
= 245 - 150 : [(-5)2.(-4) - 10] + 20233
= 245 - 150 : [ -100 - 10] + 20233
= 245 - 150:(-110) + 20233
= 245 + \(\dfrac{15}{11}\) + 20233
= \(\dfrac{2710}{11}\) + 20233
=(2/7+4/9)+((-15/23)+(-8/23))+15/7
=(18/63+28/63)+(-1)+15/7
=46/63+(-1)+15/7
=46/63+(-63/63)+135/63
=118/63
=9/13-13/23-x-7/69=-4/23-7/69-x=-19/69-x
em cảm ơn