Tính bằng cách hợp lí:
\(\left(1,11+0,19-2,6\right):\left(2,06+0,54\right)-\left(\frac{1}{2}+\frac{1}{3}\right):2\)
Giúp mị với , mị cảm ơn
giúp mik nha
a>\(\frac{1,11+0,19-1,3.2}{2,06+0,54}-\left(\frac{1}{2}+\frac{1}{3}\right):2\)
b> (-15,5).20,8+3,5.9,2-15,5.9,2+3,5.20,8
Bài 1) Cho \(A=\frac{1,11+0,19-1,3.2}{2,06+0,54}-\left(\frac{1}{2}+\frac{1}{3}\right):2\) và \(B=\left(5\frac{7}{8}-2\frac{1}{4}-0,5\right):2\frac{23}{26}\). Tìm x\(\in\)Z để A<x<B
\(A=\frac{1,11+0,19-1,3.2}{2,06+0,54}-\left(\frac{1}{2}+\frac{1}{3}\right):2=\frac{-\frac{131}{100}}{\frac{13}{5}}-\frac{5}{6}:2\)
\(=-\frac{131}{260}-\frac{5}{12}=-\frac{359}{390}\)
\(B=\left(5\frac{7}{8}-2\frac{1}{4}-0,5\right):2\frac{23}{26}=\left(\frac{47}{8}-\frac{9}{4}-\frac{1}{2}\right):\frac{75}{26}=\frac{25}{8}.\frac{26}{75}=\frac{13}{12}\)
Ta có : \(A=-\frac{359}{390}\approx-0,9\)
\(B=\frac{13}{12}\approx1,08\)
\(\Rightarrow A< x< B\) mà x nguyên \(\Rightarrow\left[{}\begin{matrix}x=0\\x=1\end{matrix}\right.\)
Ta có:
\(A=\frac{1,11+0,19-1,3.2}{2,06+0,54}-\left(\frac{1}{2}+\frac{1}{3}\right):2=\frac{\frac{-13}{10}}{\frac{13}{5}}-\frac{5}{6}:2=\frac{-1}{2}-\frac{5}{12}=\frac{-11}{12}\)
\(B=\left(5\frac{7}{8}-2\frac{1}{4}-0,5\right):2\frac{23}{26}=\left(\frac{47}{8}-\frac{9}{4}-\frac{1}{2}\right):\frac{75}{26}=\frac{25}{8}:\frac{75}{26}=\frac{13}{12}\)
\(\Rightarrow A< x< B\Rightarrow\frac{-11}{12}< x< \frac{13}{12}\Rightarrow-1< x\le1\Rightarrow x\in\left\{0;1\right\}\)
Cho \(A=\frac{1,11+0,19-1,3.2}{2,06+0,54}-\left(\frac{1}{2}+\frac{1}{3}\right):2\)
\(B=\left(5\frac{7}{8}-2\frac{1}{4}-0,5\right):2\frac{23}{26}\)
a) Rút gọn A và B
b) Tìm x thuộc Z để A<x<B
A= \(\frac{1,11+0,19-1,3.2}{2,06+0,54}-\left(\frac{1}{2}+\frac{1}{3}\right):2=\frac{-\frac{131}{100}}{\frac{13}{5}}-\frac{5}{6}:2\)
=\(-\frac{131}{260}-\frac{5}{12}=-\frac{359}{390}\)
B= \(\left(5\frac{7}{8}-2\frac{1}{4}-0,5\right):2\frac{23}{26}=\left(\frac{47}{8}-\frac{9}{4}-\frac{1}{2}\right):\frac{75}{26}=\frac{25}{8}.\frac{26}{75}=\frac{13}{12}\)
b) ta có : A=\(-\frac{359}{390}\approx-0,9\)
B= \(\frac{13}{12}\approx1,08\)
=> A<x<B mà x nguyên => x=0 hoặc x=1
Cho A=\(\frac{1,11+0,19-13.2}{2,06+0,54}-\left(\frac{1}{2}+\frac{1}{3}\right):2\) và B=\(\left(\frac{47}{8}-\frac{9}{4}-0,5\right):2\frac{23}{26}\)
a) Tính A và B
b) Tìm số nguyên x để A<x<B
\(\frac{\text{A=1,11+0,19-13.2}}{2,06+0,54}\) -(\(\frac{1}{2}\)
Cho \(A=\frac{1,11+0,19-13.2}{2,06+0,54}-\left(\frac{1}{2}+\frac{1}{4}\right):2\)
\(B=\left(5\frac{7}{8}-2\frac{1}{4}-0,5\right):2\frac{23}{26}\)
a)Rút gọn A , B
b)Tìm x thuộc Z để A<x<B
Cho \(A=\frac{1,11+0,19-13.2}{2,06+0,54}-\left(\frac{1}{2}+\frac{1}{4}\right):2\)
\(B=\left(5\frac{7}{8}-2\frac{1}{4}-0,5\right):2\frac{23}{26}\)
a)Rút gọn A,B
b)Tìm x thuộc Z để A<x<B
a: \(A=\dfrac{1.3-26}{2.6}-\dfrac{3}{8}\cdot\dfrac{1}{2}=-\dfrac{19}{2}-\dfrac{3}{16}=-\dfrac{155}{16}\)
b: \(B=\left(\dfrac{47}{8}-\dfrac{9}{4}-\dfrac{1}{2}\right):\dfrac{75}{26}\)
\(=\dfrac{47-18-4}{8}\cdot\dfrac{26}{75}=\dfrac{1}{3}\cdot\dfrac{13}{4}=\dfrac{13}{12}\)
c: Để A<x<B thì \(-\dfrac{155}{16}< x< \dfrac{13}{12}\)
=>-10<x<2
hay \(x\in\left\{-9;-8;-7;...;0;1\right\}\)
1) \(\left(\frac{1,5+1-0,5}{2,5+\frac{5}{3}-1,25}+\frac{0,375-0,3+\frac{3}{11}+\frac{3}{12}}{-0,625+0,5-\frac{5}{11}-\frac{5}{12}}\right):\frac{1890}{2005}+115\)
2) A=\(\frac{1,11+0,19-1,3.2}{2,06+0,54}-\left(\frac{1}{3}+\frac{1}{2}\right):2\)
3) A= \(1+\frac{3}{2^3}+\frac{4}{2^4}+...+\frac{100}{2^{100}}\)
1. tìm x
a, 2x - \(\dfrac{1}{2}\) : \(\dfrac{3}{4}\) = \(\dfrac{12}{9}\)
b, x\(^2\) - 2 = 0
2. Cho
A = \(\dfrac{1,11+0,19-13.2}{2,06+0,54}\) - \(\left(\dfrac{1}{2}+\dfrac{1}{4}\right)\) : 2
B = \(\left(5\dfrac{7}{8}-2\dfrac{1}{4}-0,5\right)\) : \(2\dfrac{23}{26}\)
a, Rút gọn A, B
b, Tìm x ϵ Z để A < x < B
a)
=\(2x-\dfrac{1}{2}=\dfrac{12}{9}\cdot\dfrac{3}{4}=1\)
=\(2x=1+\dfrac{1}{2}=1.5\)
=\(x=1.5:2=0.75\)
b)
=\(x^2=0+2=2\)
TH1:\(x=2\)
TH2:\(x=-2\)
Bài 1:
a: \(2x-\dfrac{1}{2}:\dfrac{3}{4}=\dfrac{12}{9}\)
=>\(2x-\dfrac{1}{2}\cdot\dfrac{4}{3}=\dfrac{4}{3}\)
=>\(2x=\dfrac{4}{3}+\dfrac{2}{3}=\dfrac{6}{3}=2\)
=>x=2/2=1
b: \(x^2-2=0\)
=>\(x^2=2\)
=>\(\left[{}\begin{matrix}x=\sqrt{2}\\x=-\sqrt{2}\end{matrix}\right.\)
Bài 2:
a: \(A=\dfrac{1,11+0,19-13\cdot2}{2,06+0,54}-\left(\dfrac{1}{2}+\dfrac{1}{4}\right):2\)
\(=\dfrac{1,3-26}{2,6}-\dfrac{3}{4}:2\)
\(=-9,5-\dfrac{3}{8}=-\dfrac{79}{8}\)
\(B=\left(5\dfrac{7}{8}-2\dfrac{1}{4}-0,5\right):\left(2\dfrac{23}{26}\right)\)
\(=\left(5+\dfrac{7}{8}-2-\dfrac{1}{4}-\dfrac{1}{2}\right):\dfrac{75}{26}\)
\(=\left(3+\dfrac{1}{8}\right)\cdot\dfrac{26}{75}=\dfrac{25}{8}\cdot\dfrac{26}{75}=\dfrac{13}{12}\)
b: A<x<B
=>\(-\dfrac{79}{8}< x< \dfrac{13}{12}\)
mà \(x\in Z\)
nên \(x\in\left\{-9;-8;...;0;1\right\}\)
Bài 1: Tính bằng cách hợp lí:
a, \(11\frac{1}{4}-\left(2\frac{5}{7}+5\frac{1}{4}\right)\)
b, \(\left(8\frac{5}{11}+3\frac{5}{8}\right)-3\frac{5}{11}\)
c, \(-\frac{1}{4}.13\frac{9}{11}-0,25.6\frac{2}{11}\)
d, \(\frac{4}{9}:\left(-\frac{1}{7}\right)+6\frac{5}{9}:\left(-\frac{1}{7}\right)\)
Bài 2: Tính bằng cách hợp lí( nếu có)
a,\(\left(1,11+0,19-26\right):\left(2,06+0,54\right)-\left(\frac{1}{2}+\frac{1}{3}\right):2\)
b, \(\left(2\frac{1}{3}+3,5\right):\left(-4\frac{1}{6}+3\frac{1}{7}\right)+7,5\)
c, \(-15,5.20,8+3,5.9,2-15,5.9,2+3,5.20,8\)
Bài 3: Tìm x, biết:
a, \(\frac{2}{7}+x=20,75\)
b, \(-4\frac{1}{5}-x=2,25\)
c, \(x:8,5=2,2\)
d, \(\left(\frac{2x}{5}-1\right):\left(-5\right)=\frac{1}{7}\)
a) 11 1/4- 2 5/7 - 5 1/4
11 1/4 - 5 1/4 - 2 5/7
( 11 -5) + ( 1/4 -1/4) -2 5/7
6 +0 -2 5/7
6- 2 5/7
5+1 - 2 5/7
( 5-2) + ( 1-5/7)
3+( 7/7 -5/7)
3 + 2/7
3 2/7
3+