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\(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{1}{3}=1\\x-\dfrac{1}{3}=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{4}{3}\\x=-\dfrac{2}{3}\end{matrix}\right.\)

2 tháng 1 2022

\(\left|x-\dfrac{1}{3}\right|-0,25=\dfrac{3}{4}\)

\(\left|x-\dfrac{1}{3}\right|-\dfrac{1}{4}=\dfrac{3}{4}\)

\(\left|x-\dfrac{1}{3}\right|=\dfrac{3}{4}+\dfrac{1}{4}=1\)

\(\text{Vậy }x-\dfrac{1}{3}=1\)

       \(x\)         \(=1+\dfrac{1}{3}=\dfrac{4}{3}\)

\(\text{hoặc }x-\dfrac{1}{3}=-1\)

       \(x\)          \(=\left(-1\right)+\dfrac{1}{3}=\dfrac{-2}{3}\)

\(\Rightarrow x\in\left\{\dfrac{4}{3};\left(\dfrac{-2}{3}\right)\right\}\)

14 tháng 12 2023

\(\left|x-\dfrac{1}{2}\right|-1=\dfrac{5}{2}\)

\(\Rightarrow\left|x-\dfrac{1}{2}\right|=\dfrac{5}{2}+1\)

\(\Rightarrow\left|x-\dfrac{1}{2}\right|=\dfrac{7}{2}\)

\(\Rightarrow\left[{}\begin{matrix}x-\dfrac{1}{2}=\dfrac{7}{2}\\x-\dfrac{1}{2}=-\dfrac{7}{2}\end{matrix}\right.\)

\(\Rightarrow\left[{}\begin{matrix}x=4\\x=-3\end{matrix}\right.\)

30 tháng 4 2017

a,(3/5+0,415-3/200).\(2\dfrac{2}{3}\).0,25

=(0,6+0.415-3/200)8/3.1/4

=(1,015-3/200).8/3.1/4

=(1015/1000-3/200).2/3

=(203/200-3/200).2/3

=1.2/3=2/3

b,0,25:(10,3-9,8)-3/4

=0,25:910,3-9,8)-0.75

=0,25:0,5-0,75

=-0,25

Mình làm từng đó trước,lần sau mình sẽ lm típ nha!hiha

1 tháng 5 2017

Mình tick đúng nhưng bạn cần đọc rõ đề Tính theo cách hợp lý nhất

1 tháng 10 2023

a) \(0,25-\dfrac{2}{3}+1\dfrac{1}{4}\)

\(=\dfrac{1}{4}-\dfrac{2}{3}+\dfrac{5}{4}\)

\(=\dfrac{3}{12}-\dfrac{8}{12}+\dfrac{15}{12}\)

\(=\dfrac{10}{12}\)

\(=\dfrac{5}{6}\)

\(---\)

b) \(\dfrac{3^2}{2}:\dfrac{1}{4}+\dfrac{3}{4}\cdot2010\)

\(=\dfrac{9}{2}\cdot4+\dfrac{3015}{2}\)

\(=18+\dfrac{3015}{2}\)

\(=\dfrac{36}{2}+\dfrac{3015}{2}\)

\(=\dfrac{3051}{2}\)

\(---\)

c) \(\left\{\left[\left(\dfrac{1}{25}-0,6\right)^2:\dfrac{49}{125}\right]\cdot\dfrac{5}{6}\right\}-\left[\left(\dfrac{-1}{3}\right)+\dfrac{1}{2}\right]\)

\(=\left\{\left[\left(-\dfrac{14}{25}\right)^2:\dfrac{49}{125}\right]\cdot\dfrac{5}{6}\right\}-\left[\left(\dfrac{-2}{6}\right)+\dfrac{3}{6}\right]\)

\(=\left\{\left[\dfrac{196}{625}\cdot\dfrac{125}{49}\right]\cdot\dfrac{5}{6}\right\}-\dfrac{1}{6}\)

\(=\left\{\dfrac{4}{5}\cdot\dfrac{5}{6}\right\}-\dfrac{1}{6}\)

\(=\dfrac{4}{6}-\dfrac{1}{6}\)

\(=\dfrac{3}{6}\)

\(=\dfrac{1}{2}\)

\(---\)

d) \(\left(-\dfrac{1}{2}-\dfrac{1}{3}\right)^2:\left[\left(\dfrac{-5}{36}\right)-\left(\dfrac{-5}{36}\right)^0\right]\)

\(=\left(-\dfrac{3}{6}-\dfrac{2}{6}\right)^2:\left[-\dfrac{5}{36}-1\right]\)

\(=\left(-\dfrac{5}{6}\right)^2:\left[-\dfrac{5}{36}-\dfrac{36}{36}\right]\)

\(=\dfrac{25}{36}:\left(\dfrac{-41}{36}\right)\)

\(=\dfrac{25}{36}\cdot\left(\dfrac{-36}{41}\right)\)

\(=-\dfrac{25}{41}\)

#\(Toru\)

1 tháng 10 2023

cảm ơn nhiều nha vừa kịp giờ lun

29 tháng 12 2022

\(9\times\left(\dfrac{-1}{3}\right)^3+\dfrac{1}{3}:0,25-5\dfrac{3}{4}=\dfrac{9}{1}\times\left(\dfrac{-1}{27}\right)+\dfrac{1}{3}:\dfrac{1}{4}-\dfrac{23}{4}\)

\(=\left(\dfrac{-9}{27}\right)+\dfrac{4}{3}-\dfrac{23}{4}=\left(\dfrac{-1}{3}\right)+\dfrac{4}{3}-\dfrac{23}{4}=\dfrac{3}{3}-\dfrac{23}{4}=1-\dfrac{23}{4}=\dfrac{4}{4}-\dfrac{23}{4}=\dfrac{-19}{4}\)

29 tháng 12 2022

= -\(\dfrac{19}{4}\)

25 tháng 10 2018

Thực hiện phép tính bằng cách tính hợp lí

a)\(\dfrac{15}{34}+\dfrac{7}{21}+\dfrac{19}{34}-1\dfrac{15}{17}+\dfrac{2}{3}=\)

=\(\dfrac{15}{34}+\dfrac{1}{3}+\dfrac{19}{34}-1\dfrac{15}{17}+\dfrac{2}{3}\)

=\(\left(\dfrac{15}{34}+\dfrac{19}{34}\right)+\left(\dfrac{1}{3}+\dfrac{2}{3}\right)-1\dfrac{15}{17}\)

=\(1+1-\dfrac{32}{17}\)

=\(\dfrac{34}{17}-\dfrac{32}{17}\)

=\(\dfrac{2}{17}\)

b)\(\left(-2\right)^3\cdot\left(\dfrac{3}{4}-0,25\right):\left(2\dfrac{1}{4}-1\dfrac{1}{6}\right)\)

=\(-8\cdot\left(\dfrac{3}{4}-\dfrac{1}{4}\right):\left(\dfrac{9}{4}-\dfrac{7}{6}\right)\)

=\(-8\cdot\dfrac{1}{2}:\left(\dfrac{54}{24}-\dfrac{28}{24}\right)\)

=\(-4:\dfrac{13}{12}\)

=\(-4\cdot\dfrac{12}{13}\)

=\(-\dfrac{48}{13}\)

22 tháng 6 2022

a) A=(13+23)−(815+715)+(−17+117)=1−1+1=1;
b) B=(0.25−114)+(35+25)−18
=(14−1−14)+1−18=−18.

13 tháng 7 2022
a) A=\left(\dfrac{1}{3}+\dfrac{2}{3}\right)-\left(\dfrac{8}{15}+\dfrac{7}{15}\right)+\left(\dfrac{-1}{7}+1 \dfrac{1}{7}\right)=1-1+1=1 b) \mathrm{B}=\left(0.25-1 \dfrac{1}{4}\right)+\left(\dfrac{3}{5}+\dfrac{2}{5}\right)-\dfrac{1}{8}
=\left(\dfrac{1}{4}-1-\dfrac{1}{4}\right)+1-\dfrac{1}{8}=\dfrac{-1}{8}.

\(N=4\cdot16\cdot\dfrac{9}{16}\cdot\dfrac{4}{5}\cdot\dfrac{27}{8}=4\cdot9\cdot\dfrac{4}{5}\cdot\dfrac{27}{8}\)

\(=\dfrac{16}{5}\cdot\dfrac{243}{8}=\dfrac{486}{5}\)

25 tháng 12 2021

\(\text{A=}\left(\dfrac{7}{8}-0,25\right):\left(\dfrac{5}{6}-0,75\right)^2\)

\(A=\left(\dfrac{7}{8}-\dfrac{1}{4}\right):\left(\dfrac{5}{6}-\dfrac{3}{4}\right)^2\)

\(A=\left(\dfrac{7}{8}+\dfrac{-1}{4}\right):\dfrac{1}{144}\)

\(A=\dfrac{5}{8}.144=90\)

\(\text{B=}\dfrac{3}{4}.1\dfrac{4}{9}-\left(\dfrac{-3}{4}\right)\)

\(B=\dfrac{3}{4}.\dfrac{13}{9}+\dfrac{3}{4}\)

\(B=\dfrac{13}{12}+\dfrac{3}{4}\)

\(B=\dfrac{11}{6}\)

 

 

21 tháng 7 2021

=\(16.\left(\dfrac{5}{8}-0,25\right):\left(3\dfrac{1}{3}-2\dfrac{1}{4}\right)\)

=\(16.\left(\dfrac{5}{8}-\dfrac{1}{4}\right):\left(\dfrac{10}{3}-\dfrac{9}{4}\right)\)

=\(16.\dfrac{3}{8}:\dfrac{13}{12}\)

=\(6:\dfrac{13}{12}\)

=\(\dfrac{72}{13}\)

21 tháng 7 2021

= 16 . (5/8-1/4) : (10/3-9/4)

= 16. 3/8:13/12

= 6:13/12

= 72/13