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a
\(-\frac{16}{17}< -\frac{14}{17}< -\frac{12}{17}< -\frac{11}{17}< -\frac{9}{17}< -\frac{3}{17}< -\frac{1}{17}\)
b
\(-\frac{5}{2}< -\frac{5}{3}< -\frac{5}{4}< -\frac{5}{7}< -\frac{5}{8}< -\frac{5}{9}< -\frac{5}{11}\)
P/S:Lẽ ra ko lm bài này nhưng thấy chứ đang vội thì lm nốt:((
a) Vì -16 < -14 < -12 < -11 < -9 < -3 < -1
=> \(\frac{-16}{17}\), \(\frac{-14}{17}\), \(\frac{-12}{17}\), \(\frac{-11}{17}\), \(\frac{-9}{17}\), \(\frac{-3}{17}\), \(\frac{-1}{17}\)
b) Vì 2 < 3 < 4 < 7 < 8 < 9 < 11
mà theo lí thuyết ta có : phân số nào có mẫu lớn hơn thì phân số đó bé hơn và ngược lại
=> \(\frac{-5}{11}\), \(\frac{-5}{9}\), \(\frac{-5}{8}\), \(\frac{-5}{7}\), \(\frac{-5}{4}\), \(\frac{-5}{3}\), \(\frac{-5}{2}\)
~ Học tốt ~
\(1)\)\(-\dfrac{10}{11}.\dfrac{8}{9}+\dfrac{7}{18}.\dfrac{10}{11}\)
\(=\dfrac{10}{11}\left(-\dfrac{8}{9}+\dfrac{7}{18}\right)\)
\(=\dfrac{10}{11}\left(\dfrac{-16}{18}+\dfrac{7}{18}\right)\)
\(=\dfrac{10}{11}.\left(-\dfrac{1}{2}\right)=-\dfrac{5}{11}\)
\(2)\)\(\dfrac{12}{25}.\dfrac{23}{7}-\dfrac{12}{7}.\dfrac{13}{25}\)
\(=\dfrac{12}{7}.\dfrac{23}{25}-\dfrac{12}{7}.\dfrac{13}{25}\)
\(=\dfrac{12}{7}.\left(\dfrac{23}{25}-\dfrac{13}{25}\right)\)
\(=\dfrac{12}{7}.\dfrac{2}{5}=\dfrac{24}{35}\)
\(3)\)\(\dfrac{3}{7}.\dfrac{16}{15}-\dfrac{2}{15}.\dfrac{-3}{7}\)
\(=\dfrac{3}{7}.\dfrac{16}{15}-\dfrac{3}{7}.\dfrac{-2}{15}\)
\(=\dfrac{3}{7}.\left(\dfrac{16}{15}+\dfrac{2}{15}\right)\)
\(=\dfrac{3}{7}.\dfrac{18}{15}=\dfrac{18}{35}\)
\(4)\)\(-\dfrac{4}{13}.\dfrac{5}{17}+\dfrac{-12}{13}.\dfrac{4}{17}\)
\(=-\dfrac{4}{13}.\dfrac{5}{17}+\dfrac{-4}{13}.\dfrac{12}{17}\)
\(=-\dfrac{4}{13}.\left(\dfrac{5}{17}+\dfrac{12}{17}\right)\)
\(=-\dfrac{4}{13}.\dfrac{17}{17}=-\dfrac{4}{13}\)
`#040911`
`1)`
`-10/11 * 8/9 + 7/18 . 10/11`
`= 10/11 * (-8/9 + 7/18)`
`= 10/11 * (-1/2)`
`= -5/11`
`2)`
`12/25 * 23/7 - 12/7 *13/25`
`= 12/7 * 23/25 - 12/7 * 13/25`
`= 12/7 * (23/25 - 13/25)`
`= 12/7 * 2/5`
`= 24/35`
`3)`
`3/7 * 16/15 - 2/15 * (-3)/7`
`= 3/7 * (16/15 + 2/15)`
`= 3/7 * 6/5`
`= 18/35`
`4)`
`-4/13 * 5/17 + (-12)/13 * 4/17`
`= -4/17 * 5/13 + (-12)/13 * 4/17`
`= 4/17 * (-5/13 - 12/13)`
`= 4/17 * (-17)/13`
`= -4/13`
\(\begin{array}{l}a)\frac{{17}}{{11}} - \left( {\frac{6}{5} - \frac{{16}}{{11}}} \right) + \frac{{26}}{5}\\ = \frac{{17}}{{11}} - \frac{6}{5} + \frac{{16}}{{11}} + \frac{{26}}{5}\\ = (\frac{{17}}{{11}} + \frac{{16}}{{11}}) + (\frac{{26}}{5} - \frac{6}{5})\\ = \frac{{33}}{{11}} + \frac{{20}}{5}\\ = 3 + 4\\ = 7\\b)\frac{{39}}{5} + \left( {\frac{9}{4} - \frac{9}{5}} \right) - \left( {\frac{5}{4} + \frac{6}{7}} \right)\\ = \frac{{39}}{5} + \frac{9}{4} - \frac{9}{5} - \frac{5}{4} - \frac{6}{7}\\ = (\frac{{39}}{5} - \frac{9}{5}) + (\frac{9}{4} - \frac{5}{4}) - \frac{6}{7}\\ = \frac{{30}}{5} + \frac{4}{4} - \frac{6}{7}\\ = 6 + 1 - \frac{6}{7}\\ = 7 - \frac{6}{7}\\ = \frac{{49}}{7} - \frac{6}{7}\\ = \frac{{43}}{7}\end{array}\)
\(\frac{9^{16}\cdot3^{17}}{27^{11}\cdot81^5}=\frac{3^{32}.3^{17}}{3^{33}.3^{20}}=\frac{3^{49}}{3^{53}}=\frac{1}{3^4}=\frac{1}{81}\)
916.317 = (32)16.317 = 332.317 = 349
2711.815 = (33)11.(34)5 = 333.320 = 353
=22/17 +16/27 -5/17 +0,5+7/23
=1+0,5+16/27+7/23
=2977/1242
\(1\frac{5}{17}+\frac{16}{27}-\frac{5}{17}+0.5+\frac{7}{23}\)
\(=1+\frac{5}{17}+\frac{16}{27}-\frac{5}{17}+\frac{1}{2}+\frac{7}{23}\)
\(=1+\frac{16}{27}+\frac{1}{2}+\frac{7}{23}+\left(\frac{5}{17}-\frac{5}{17}\right)\)
\(=\frac{43}{27}+\frac{37}{46}+0\)
\(=\frac{1978}{1242}+\frac{999}{1242}\)
\(=\frac{2977}{1242}\)
\(-\dfrac{3}{16}+-\dfrac{3}{8}-\dfrac{5}{4}\)
\(=-\dfrac{3}{16}-\dfrac{3}{8}-\dfrac{5}{4}\)
\(=-\dfrac{3}{16}-\dfrac{6}{16}-\dfrac{20}{16}\)
\(=\dfrac{-3-6-20}{16}\)
\(=-\dfrac{29}{16}\)
\(\left(-\dfrac{25}{13}\right)+\dfrac{-9}{17}+\dfrac{12}{13}+\dfrac{25}{17}\)
\(=\left[\left(-\dfrac{25}{13}\right)+\dfrac{12}{13}\right]+\left[\left(-\dfrac{9}{17}+\dfrac{25}{17}\right)\right]\)
\(=-\dfrac{13}{13}+\dfrac{17}{17}\)
\(=-1+1\)
\(=0\)