Bài 1:Thực hiện phép tính:
1,\(\frac{11}{24}-\frac{5}{41}+\frac{13}{24}+0,5-\frac{36}{41}\)
2,\(-12:(\frac{3}{4}-\frac{5}{6})^2\)
3,\(\frac{7}{23}.[(-\begin{matrix}8\\6\end{matrix})-\frac{45}{18}]\)
4,\(23\frac{1}{4}.\frac{7}{5}-13\frac{1}{4}:\frac{5}{7}\)
5,\((1+\frac{2}{3}-\frac{1}{4})(0,8-\frac{3}{4})^2\)
6,\(16\frac{2}{7}:(\frac{-3}{5})+28\frac{2}{7}:\frac{3}{5}\)
7,\((2^2:\frac{4}{3}-\frac{1}{2}).\frac{6}{5}-17\)
8,\((\frac{1}{3})^{50}.\left(-9\right)^{25}-\frac{2}{3}:4\)
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Đọc tiếp
Bài 1:Thực hiện phép tính:
1,\(\frac{11}{24}-\frac{5}{41}+\frac{13}{24}+0,5-\frac{36}{41}\)
2,\(-12:(\frac{3}{4}-\frac{5}{6})^2\)
3,\(\frac{7}{23}.[(-\begin{matrix}8\\6\end{matrix})-\frac{45}{18}]\)
4,\(23\frac{1}{4}.\frac{7}{5}-13\frac{1}{4}:\frac{5}{7}\)
5,\((1+\frac{2}{3}-\frac{1}{4})(0,8-\frac{3}{4})^2\)
6,\(16\frac{2}{7}:(\frac{-3}{5})+28\frac{2}{7}:\frac{3}{5}\)
7,\((2^2:\frac{4}{3}-\frac{1}{2}).\frac{6}{5}-17\)
8,\((\frac{1}{3})^{50}.\left(-9\right)^{25}-\frac{2}{3}:4\)
9,\(\frac{3}{5}:(\frac{-1}{15}-\frac{1}{6})+\frac{3}{5}:(\frac{-1}{3}-1\frac{1}{15})\)
10,\(\left(-6,5\right).5,7+5,7.\left(-3,5\right)\)
11,\(10.\sqrt{0,01.\frac{16}{9}+3\sqrt{49}-\frac{1}{6}\sqrt{ }4}\)
12,\(\frac{2^4.2^6}{\left(2^5\right)^2}-\frac{2^5.15^3}{6^3.10^2}\)
a) \(\frac{11}{24}-\frac{5}{41}+\frac{13}{24}+0,5-\frac{36}{41}\)
= \(\frac{11}{24}-\frac{5}{41}+\frac{13}{24}+\frac{1}{2}-\frac{36}{41}\)
= \(\frac{1}{2}-\left\{\frac{11}{24}+\frac{13}{24}\right\}-\left\{\frac{5}{41}+\frac{36}{41}\right\}\)
=\(\frac{1}{2}-\frac{24}{24}-\frac{41}{41}\)
=\(\frac{1}{2}-1-1\)
=\(\frac{-3}{2}\)
b) \(-12:\left\{\frac{3}{4}-\frac{5}{6}\right\}^2\)
= \(-12:\left\{\frac{9}{12}-\frac{10}{12}\right\}^2\)
= \(-12:\left\{\frac{-1}{12}\right\}^2\)
= \(-12:\frac{1}{144}\)
= \(-12.144\)
= -1728
c) \(\frac{7}{23}.\left[\left(\frac{-8}{6}\right)-\frac{45}{18}\right]\)
= \(\frac{7}{23}.\left[\left(\frac{-24}{18}\right)-\frac{45}{18}\right]\)
= \(\frac{7}{23}.\left(\frac{-23}{6}\right)\)
= \(\frac{-7}{6}\)
d) \(23\frac{1}{4}.\frac{7}{5}-13\frac{1}{4}:\frac{5}{7}\)
= \(23\frac{1}{4}.\frac{7}{5}-13\frac{1}{4}.\frac{7}{5}\)
= \(\left\{23\frac{1}{4}-13\frac{1}{4}\right\}.\frac{7}{5}\)
= \(10.\frac{7}{5}\)
= 14
e) (1+23−14).(0,8−34)2
= (1+23−14).(\(\frac{4}{5}\)−34)2
= \(\left(\frac{12}{12}+\frac{8}{12}-\frac{3}{12}\right).\left(\frac{16}{20}-\frac{15}{20}\right)^2\)
= \(\frac{17}{12}.\left(\frac{1}{20}\right)^2\)
= \(\frac{17}{20}.\frac{1}{400}\)
= \(\frac{17}{8000}\)