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a) \(\sqrt{0,09}-\sqrt{0,64}=\frac{-1}{2}=-0,5\)
b) \(0,1\cdot\sqrt{225}-\sqrt{\frac{1}{4}}=0,1\cdot15-\frac{1}{2}=1\)
c) \(\sqrt{0,36}\cdot\sqrt{\frac{25}{16}+\frac{1}{4}}=\frac{3\sqrt{29}}{20}\)
d) đề baì có sai ko ban?
\(a)=\frac{7}{25}+\frac{4}{13}-\frac{5}{2}+\frac{18}{25}-\frac{17}{13}\)
\(=1-1-\frac{5}{2}\)
\(=-\frac{5}{2}\)
= 0,6 : 5/4 + 1/4 + 2/9 : 5/9 - 1/4
= 3/5 . 4/5 + 2/9 . 9/5
= 12/25 + 2/5
= 22/25
\(a,=\left(\frac{15}{12}-\frac{3}{12}\right)+\left(\frac{5}{13}-\frac{18}{13}\right)\)
\(=1+-1\)
\(=0\)
\(a.=\frac{3}{15}+\frac{-10}{15}\)
\(=-\frac{7}{15}\)
\(b.=\left(\frac{15}{12}-\frac{3}{12}\right)+\left(\frac{5}{13}-\frac{18}{13}\right)\)
\(=1+\left(-1\right)\)
\(=0\)
\(c.=\left(\frac{13}{25}-\frac{38}{25}\right)+\left(\frac{6}{41}+\frac{35}{41}\right)-\frac{1}{2}\)
\(=-1+1-\frac{1}{2}\)
\(=0-\frac{1}{2}\)
\(=-\frac{1}{2}\)
\(d.=\frac{5}{6}.\left(18\frac{2}{3}-6\frac{2}{3}\right)\)
\(=\frac{5}{6}.12\)
\(=10\)
\(=\left(25+\dfrac{12}{67}+9+\dfrac{13}{41}-8-\dfrac{12}{67}+3+\dfrac{28}{41}\right)\cdot\dfrac{-21}{13}\)
\(=\left(25+9-8+3+1\right)\cdot\dfrac{-21}{13}=\dfrac{-630}{13}\)
Bài làm:
Bài 1:
\(3,5-\sqrt{\frac{49}{25}}-\sqrt{0,36}\)
\(=3,5-\frac{7}{5}-\frac{3}{5}\)
\(=3,5-2\)
\(=1,5\)
Bài 2:
a) \(\left(\frac{2}{3}-\frac{3}{4}\right)^2.\frac{12}{7}-\frac{5}{7}\)
\(=\left(-\frac{1}{12}\right)^2.\frac{12}{7}-\frac{5}{7}\)
\(=\frac{1}{12^2}.\frac{12}{7}-\frac{5}{7}\)
\(=\frac{1}{84}-\frac{60}{84}\)
\(=-\frac{59}{84}\)
\(\left(-2\right)^3+\frac{1}{2}:\frac{1}{8}-\sqrt{25}=\left|-13\right|\)
\(=-8+\frac{1}{2}.8-5+13\)
\(=4\)
\(\frac{1}{2}.\sqrt{100}-\sqrt{\frac{1}{16}}+\left(-\frac{2012}{2013}\right)^0\)
\(=\frac{1}{2}.10-\frac{1}{4}+1\)
\(=5-\frac{5}{4}\)
\(=\frac{15}{4}\)
\(\left(-2\right)^3+\frac{1}{2}:\frac{1}{8}-\sqrt{25}+|-13|\)
\(=-12+\frac{1}{2}.8-5+13\)
\(=-12+4-5+13\)
\(=4\)