tính giá trị cua biểu thuc sau
7/2:(2,5-15/4)+(-1/2)^2
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\(\frac{9}{2}:\left(2.5-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{9}{2}:\left(10-\frac{15}{4}\right)+\frac{1}{4}\)
\(=\frac{9}{2}:\left(\frac{40}{4}-\frac{15}{4}\right)+\frac{1}{4}\)
\(=\frac{9}{2}:\frac{25}{4}+\frac{1}{4}\)
\(=\frac{9}{2}.\frac{4}{25}+\frac{1}{4}\)
\(=\frac{18}{25}+\frac{1}{4}\)
\(=\frac{97}{100}\)
\(\frac{9}{2}\div\left(2\times5-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{9}{2}\div\left(10-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{9}{2}\div\left(\frac{40-15}{4}\right)+\frac{1}{4}\)
\(=\frac{9}{2}\div\frac{25}{4}+\frac{1}{4}\)
\(=\frac{9}{2}\times\frac{4}{25}+\frac{1}{4}\)
\(=\frac{18}{25}+\frac{1}{4}\)
\(=\frac{72+25}{100}=\frac{97}{100}\)
a) \(0,2 + 2,5:\frac{7}{2} = \frac{2}{{10}} + \frac{25}{10}:\frac{7}{2} = \frac{1}{5} + \frac{25}{10}.\frac{2}{7} \\= \frac{1}{5} + \frac{5}{7} = \frac{7}{{35}} + \frac{{25}}{{35}} = \frac{{32}}{{35}}\)
b)
\(\begin{array}{l}9.{\left( {\frac{{ - 1}}{3}} \right)^2} - {\left( { - 0,1} \right)^3}:\frac{2}{{15}}\\ = 9.\frac{1}{9} - {\left( {\frac{{ - 1}}{{10}}} \right)^3}:\frac{2}{{15}}\\ = 1 - \frac{{ - 1}}{{1000}}:\frac{2}{{15}}\\ = 1 - \frac{{ - 1}}{{1000}}.\frac{{15}}{2}\\ = 1 + \frac{3}{{400}}\\=\frac{400}{400}+\frac{3}{400}\\ = \frac{{403}}{{400}}\end{array}\)
a) \(=\dfrac{157}{8}.\dfrac{12}{7}-\dfrac{61}{4}.\dfrac{12}{7}=\dfrac{12}{7}\left(\dfrac{157}{8}-\dfrac{61}{4}\right)=\dfrac{12}{7}.\dfrac{35}{8}=\dfrac{15}{2}\)
b) \(\dfrac{2}{5}.\dfrac{1}{3}-\dfrac{2}{15}\div\dfrac{1}{5}+\dfrac{3}{5}.\dfrac{1}{3}=\dfrac{1}{3}\left(\dfrac{2}{5}+\dfrac{3}{5}\right)-\dfrac{2}{15}.5=\dfrac{1}{3}.1-\dfrac{2}{3}=\dfrac{1}{3}-\dfrac{2}{3}=-\dfrac{1}{3}\)
c) \(=-\dfrac{80}{9}\)
a) ĐKXĐ:
\(\left\{{}\begin{matrix}x^2-9\ne0\\x+3\ne0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}x\ne\pm3\\x\ne-3\end{matrix}\right.\Leftrightarrow x\ne\pm3\)
b) \(A=\dfrac{x+15}{x^2-9}-\dfrac{2}{x+3}\)
\(A=\dfrac{x+15}{\left(x+3\right)\left(x-3\right)}-\dfrac{2\left(x-3\right)}{\left(x+3\right)\left(x-3\right)}\)
\(A=\dfrac{x+15-2x+6}{\left(x+3\right)\left(x-3\right)}\)
\(A=\dfrac{21-x}{\left(x+3\right)\left(x-3\right)}\)
c) Thay x = - 1 vào A ta có:
\(A=\dfrac{21-\left(-1\right)}{\left(-1+3\right)\left(-1-3\right)}=\dfrac{21+1}{2\cdot-4}=\dfrac{22}{-8}=-\dfrac{11}{4}\)
\(B=\frac{1-\frac{1}{\sqrt{49}}+\frac{1}{49}-\frac{1}{\left(7\sqrt{7}\right)^2}}{\frac{\sqrt{64}}{2}-\frac{4}{7}+\left(\frac{2}{7}\right)^2-\frac{4}{343}}\)
\(B=\frac{1-\frac{1}{7}+\frac{1}{49}-\frac{1}{343}}{4-\frac{4}{7}+\frac{4}{49}-\frac{4}{343}}\)
\(B=\frac{1-\frac{1}{7}+\frac{1}{49}-\frac{1}{343}}{4\left(1-\frac{1}{7}+\frac{1}{49}-\frac{1}{343}\right)}\)
\(B=\frac{1}{4}\)
1,
\(\begin{array}{l}2,5.\left( {4,1 - 3 - 2,5 + 2.7,2} \right) + 4,2:2\\ = 2,5.\left( {4,1 - 3 - 2,5 + 14,4} \right) + 4,2:2\\ = 2,5.\left( {1,1 - 2,5 + 14,4} \right) + 2,1\\ = 2,5.\left( { - 1,4 + 14,4} \right) + 2,1\\ = 2,5.13 + 2,1\\ = 32,5 + 2,1\\ = 34,6\end{array}\)
2,
Cách 1:
\(\begin{array}{l}2,86.4 + 3,14.4 - 6,01.5 + {3^2}\\ = 11,44 + 12,56 - 30,05 + 9\\ = \left( {11,44 + 12,56} \right) + \left( { - 30,05 + 9} \right)\\ = 24 + \left( { - 21,05} \right)\\ = 24 - 21,05\\ = 2,95\end{array}\)
Cách 2:
\(\begin{array}{l}2,86.4 + 3,14.4 - 6,01.5 + {3^2}\\ = 4.(2,86+3,14) - 30,05 + 9\\ = 4.6 + \left( { - 30,05 + 9} \right)\\ = 24 + \left( { - 21,05} \right)\\ = 24 - 21,05\\ = 2,95\end{array}\)
Số số hạng cua dãy là:
(200-1):1+1=200(số hạng)
Giá trị của dãy số là:
(200*201):2=20100
1 + 2 + 3 + 4 + ... + 200 = ( 200 + 1 ) . 200 : 2 = 201 . 200 : 2 = 20100
\(\frac{7}{2}\div\left(2,5-\frac{15}{4}\right)+\left(\frac{-1}{2}\right)^2\)
\(=\frac{7}{2}\div\left(\frac{5}{2}-\frac{15}{4}\right)+\frac{1}{4}\)
\(=\frac{7}{2}\div\left(\frac{10}{4}-\frac{15}{4}\right)+\frac{1}{4}\)
\(=\frac{7}{2}\div\frac{-5}{4}+\frac{1}{4}\)
\(=\frac{-14}{5}+\frac{1}{4}\)
\(=-\frac{56}{20}+\frac{5}{20}\)
\(=-\frac{51}{20}\)
~Study well~
#Zu