-3/4 + (3-1/4) - (2,25 - 9/2)
-11/2-1/3.(x+1/2)=2,25
x-4/9:2/3=1/3
-11/4.2/5+2/5.21/4
1. Tính hợp lí:
a) B = 1/2 - [ 3/8 + ( -7/4 ) ]
b) -4/12 - ( -13/39 - 0,25 ) + 0,75
c) 1/2 - 1/3 + 1/23 + 1/6
d) ( -13/7 - 4/9) - ( -10/7 - 4/9 )
e) ( 7/8 - 5/2 + 4/7 ) - ( -3/7 + 1 - 13/8 )
f) -3/7 + ( 3 - 3/4 ) - ( 2,25 - 10/7)
g) ( 5/3 - 3/7 + 9 ) - ( 2 + 5/7 - 2/3 ) + ( 8/7 - 4/3 - 10 )
a) 5√1,96 - 4√2,25 + 3√1,69
b) 1/3√49 + 3/4√324 - 2/3√400
c) 5/6√289 - 1/2√256 + 2/5√225
d) 15√16/25 + 12√9/16 - 18√16/81
a: =5*1,4-4*1,5+3*1,3
=7-6+3,9=4,9
b: =1/3*7+3/4*18-2/3*20
=7/3+54/4-40/3
=-11+54/4
=2,5
c: =5/6*17-1/2*16+2/5*15
=85/6-8+6
=85/6-2
=73/6
d: =15*4/5+12*3/4-18*4/9
=12+9-8
=12+1=13
Thực hiện phép tính:
a.0,3-4/9:4/3.6/5+1
b.1+2:(2/3-1/6).(-2,25)
c.[(1/4-0,5).2+8/3]:2
d.[(3/8-5/12).6+1/3].4
e.(4/5-1):3/5-2/3.0,5
f.0,8:{0,2-7.[1/6+(5/21-5/14)]}
`@` `\text {Ans}`
`\downarrow`
`a.`
\(0,3-\dfrac{4}{9}\div\dfrac{4}{3}\cdot\dfrac{6}{5}+1\)
`=`\(0,3-\dfrac{1}{3}\cdot\dfrac{6}{5}+1\)
`=`\(0,3-0,4+1\)
`= -0,1 + 1`
`= 0,9`
`b.`
\(1+2\div\left(\dfrac{2}{3}-\dfrac{1}{6}\right)\cdot\left(-2,25\right)\)
`=`\(1+2\div\dfrac{1}{2}\cdot\left(-2,25\right)\)
`=`\(1+4\cdot\left(-2,25\right)\)
`= 1+ (-9) = -8`
`c.`
\(\left[\left(\dfrac{1}{4}-0,5\right)\cdot2+\dfrac{8}{3}\right]\div2\)
`=`\(\left(-\dfrac{1}{4}\cdot2+\dfrac{8}{3}\right)\div2\)
`=`\(\left(-\dfrac{1}{2}+\dfrac{8}{3}\right)\div2\)
`=`\(\dfrac{13}{6}\div2\)
`=`\(\dfrac{13}{12}\)
`d.`
\(\left[\left(\dfrac{3}{8}-\dfrac{5}{12}\right)\cdot6+\dfrac{1}{3}\right]\cdot4\)
`=`\(\left(-\dfrac{1}{24}\cdot6+\dfrac{1}{3}\right)\cdot4\)
`=`\(\left(-\dfrac{1}{4}+\dfrac{1}{3}\right)\cdot4\)
`=`\(\dfrac{1}{12}\cdot4=\dfrac{1}{3}\)
`e.`
\(\left(\dfrac{4}{5}-1\right)\div\dfrac{3}{5}-\dfrac{2}{3}\cdot0,5\)
`=`\(-\dfrac{1}{5}\div\dfrac{3}{5}-\dfrac{1}{3}\)
`=`\(-\dfrac{1}{3}-\dfrac{1}{3}=-\dfrac{2}{3}\)
`f.`
\(0,8\div\left\{0,2-7\left[\dfrac{1}{6}+\left(\dfrac{5}{21}-\dfrac{5}{14}\right)\right]\right\}\)
`=`\(0,8\div\left[0,2-7\left(\dfrac{1}{6}-\dfrac{5}{42}\right)\right]\)
`=`\(0,8\div\left(0,2-7\cdot\dfrac{1}{21}\right)\)
`=`\(0,8\div\left(0,2-\dfrac{1}{3}\right)\)
`= 0,8 \div (-2/15)`
`=-6`
`@` `yHGiangg.`
9/4 . 7/17 + 2 1/4 . 3/17 - 2,25 . 13/17
giúp mình cách tính nhanh nha
2 1/4 là hỗn số
\(\frac{9}{4}.\frac{7}{17}+2\frac{1}{4}.\frac{3}{17}-2,25.\frac{13}{17}\)
\(=\frac{9}{4}.\frac{7}{17}+\frac{9}{4}.\frac{3}{17}-\frac{9}{4}.\frac{13}{17}\)
\(=\frac{9}{4}.\left(\frac{7}{17}+\frac{3}{17}-\frac{13}{17}\right)\)
\(=\frac{9}{4}.\frac{-3}{17}\)
\(=\frac{-27}{68}\)
Nhớ k cho mình nhé
Tìm x trong các tỉ lệ thức sau:
a, ( 1/3 . x ) : 2/3 = 7/4 : 2/5
b, 4,5 : 0,3 = 2,25 : ( 0,1 . x )
c, 8 : ( 1/4 . x ) = 2 : 0,02
d, 3 : 9/4 = 3/4 : ( 6 . x )
a) \(\left(\frac{1}{3}.x\right):\frac{2}{3}=\frac{7}{4}:\frac{2}{5}\)
\(\left(\frac{1}{3}.x\right):\frac{2}{3}=\frac{35}{8}\)
\(\Rightarrow\frac{1}{3}.x=\frac{35}{8}.\frac{2}{3}\)
\(\Rightarrow\frac{1}{3}.x=\frac{35}{12}\)
\(\Rightarrow x=\frac{35}{12}:\frac{1}{3}\)
\(\Rightarrow x=\frac{35}{4}\)
Vậy \(x=\frac{35}{4}\)
\(a.\left(\frac{1}{3}.x\right):\frac{2}{3}=\frac{7}{4}:\frac{2}{5}\)
\(\left(\frac{1}{3}.x\right):\frac{2}{3}=\frac{35}{8}\)
\(\left(\frac{1}{3}.x\right)=\frac{35}{8}.\frac{2}{3}\)
\(\left(\frac{1}{3}.x\right)=\frac{35}{12}\)
\(x=\frac{35}{12}:\frac{1}{3}\)
\(x=\frac{35}{4}\)
\(b.4,5:0,3=2,25:\left(0,1.x\right)\)
\(\Rightarrow2,25:\left(0,1.x\right)=4,5:0,3\)
\(2,25:\left(0,1.x\right)=15\)
\(2,25:\left(0,1.x\right)=2,25:15\)
\(\left(0,1.x\right)=0,15\)
\(x=0,15:0,1\)
\(x=1,5\)
\(c.8:\left(\frac{1}{4}.x\right)=2:0,02\)
\(8:\left(\frac{1}{4}.x\right)=100\)
\(\left(\frac{1}{4}.x\right)=8:100\)
\(\left(\frac{1}{4}.x\right)=\frac{2}{25}\)
\(x=\frac{2}{25}:\frac{1}{4}\)
\(x=\frac{8}{25}\)
\(d.3:\frac{9}{4}=\frac{3}{4}:\left(6.x\right)\)
\(\Rightarrow\frac{3}{4}:\left(6.x\right)=3:\frac{9}{4}\)
\(\frac{3}{4}:\left(6.x\right)=\frac{4}{3}\)
\(\left(6.x\right)=\frac{3}{4}:\frac{4}{3}\)
\(\left(6.x\right)=\frac{9}{16}\)
\(x=\frac{9}{16}:6\)
\(x=\frac{3}{32}\)
^...^ ^_^
BT9: Tìm x biết
\(1,x^2-9=0\)
\(2,25-x^2=0\)
\(3,-x^2+36=0\)
\(4,4x^2-4=0\)
`@` `\text {Ans}`
`\downarrow`
`1,`
`x^2 - 9 = 0`
`<=> x^2 = 0 + 9`
`<=> x^2 = 9`
`<=> x^2 = (+-3)^2`
`<=> x = +-3`
Vậy, `S = {3; -3}`
`2,`
`25 - x^2 = 0`
`<=> x^2 = 25 - 0`
`<=> x^2 = 25`
`<=> x^2 = (+-5)^2`
`<=> x = +-5`
Vậy,` S= {5; -5}`
`3,`
`-x^2 + 36 = 0`
`<=> -x^2 = 0 - 36`
`<=> -x^2 = -36`
`<=> x^2 = 36`
`<=> x^2 = (+-6)^2`
`<=> x = +-6`
Vậy, `S= {6; -6}`
`4,`
`4x^2 - 4 = 0`
`<=> 4x^2 = 0+4`
`<=> 4x^2 = 4`
`<=> x^2 = 4 \div 4`
`<=> x^2 = 1`
`<=> x^2 = (+-1)^2`
`<=> x = +-1`
Vậy, `S= {1; -1}`
`@` `\text {Kaizuu lv uuu}`
\(\left[-\sqrt{2,25}+4\sqrt{\left(-2,15\right)^2}-\left(3\sqrt{\dfrac{7}{6}}\right)^2\right]\sqrt{1\dfrac{9}{16}}\)
\(\left[-\sqrt{2,25}+4\sqrt{\left(-2,15\right)^2}-\left(3\sqrt{\dfrac{7}{6}}\right)^2\right]\sqrt{1\dfrac{9}{16}}\)
\(=\left[-1,5+4\sqrt{2,15^2}-9\cdot\dfrac{7}{6}\right]\sqrt{\dfrac{25}{16}}\)
\(=\left[4\cdot\dfrac{43}{20}-10,5-1,5\right]\cdot\dfrac{5}{4}\)
\(=\left[\dfrac{43}{5}-12\right]\cdot\dfrac{5}{4}\)
\(=\dfrac{43}{5}\cdot\dfrac{5}{4}-12\cdot\dfrac{5}{4}\)
\(=\dfrac{43}{4}-15=\dfrac{-17}{4}\)
\(\left(\dfrac{-2}{3}\right)^2.x=\left(\dfrac{-2}{3}\right)^5\)
\(\left(x-\dfrac{1}{2}\right)^3=\dfrac{1}{27}\)
\(\left(\dfrac{2}{3}x-1\right)\left(\dfrac{3}{4}x+\dfrac{1}{2}\right)=0\)
\(\dfrac{4}{9}:x=3\dfrac{1}{3}:2,25\)
\(1\dfrac{1}{3}:0,8=\dfrac{2}{3}:0,1x\)
a: \(x=\left(-\dfrac{2}{3}\right)^5:\left(-\dfrac{2}{3}\right)^2=\left(-\dfrac{2}{3}\right)^3=-\dfrac{8}{27}\)
b: =>x-1/2=1/3
=>x=5/6
c: =>2/3x-1=0 hoặc 3/4x+1/2=0
=>x=3/2 hoặc x=-1/2:3/4=-1/2*4/3=-4/6=-2/3
d =>4/9:x=10/3:9/4=10/3*4/9=40/27
=>x=4/9:40/27=4/9*27/40=108/360=3/10