Tính:
a ) 289 225 b ) 2 14 25 c ) 0 , 25 9 d ) 8 , 1 1 , 6
Tính hợp lí:
a) 35-{12-[-14+(-2)]}.
b) 160÷{17+[9×5-(14+2048÷256)]}.
c) 2021mũ 0 -{225÷[20×15-8×25]-25}.
a) 35-{12-[-14+(-2)]}.
= 35 - 12 + 14 + 2
= 35 + 14 - (12 - 2)
= 49 - 10
= 39
b) 160:{17+[9×5-(14+2048:256)]}.
= 160: {17 + [45 - (14 + 8)]}
= 160: {17 + [45 - 22)]}
= 160:{17 + 23}
= 160: 40 = 4
c) 20210-{225:[20×15-8×25]-25}.
= 1 - {225:[300 - 200] - 25}
= 1 - {225 : 100 - 25}
= 1 - {2,25 - 25}
= 1 + 25 - 2,25
= 23,75
tính
a.\(\sqrt{\dfrac{289}{225}}\)
b.\(\sqrt{2\dfrac{14}{25}}\)
c.\(\sqrt{\dfrac{0,25}{9}}\)
d.\(\sqrt{\dfrac{8,1}{1,6}}\)
a, \(\sqrt{\dfrac{289}{225}}=\sqrt{\dfrac{17^2}{15^2}}=\dfrac{17}{15}\)
b, \(\sqrt{2\dfrac{14}{25}}=\sqrt{\dfrac{64}{25}}=\sqrt{\dfrac{8^2}{5^2}}=\dfrac{8}{5}\)
c, \(\sqrt{\dfrac{0,25}{9}}=\sqrt{\dfrac{0,5^2}{3^2}}=\dfrac{0,5}{3}\)
d, \(\sqrt{\dfrac{8,1}{1,6}}=\sqrt{\dfrac{0,1}{0,1}.\dfrac{81}{16}}=\sqrt{1.\dfrac{81}{16}}=\dfrac{9}{4}\)
Chúc bạn học tốt!!!
a) \(\sqrt{\dfrac{289}{225}}\)
\(=\dfrac{\sqrt{289}}{\sqrt{225}}\)
\(=\dfrac{\sqrt{17^2}}{\sqrt{15^2}}\)
\(=\dfrac{17}{15}\)
b) \(\sqrt{2\dfrac{14}{15}}\)
\(=\sqrt{\dfrac{44}{15}}\)
\(=\dfrac{\sqrt{44}}{\sqrt{15}}\)
\(=\dfrac{2\sqrt{11}}{\sqrt{15}}\)
\(=\dfrac{2\sqrt{165}}{15}\)
c) \(\sqrt{\dfrac{0,25}{9}}\)
\(=\sqrt{\dfrac{1}{\dfrac{4}{9}}}\)
\(=\dfrac{\dfrac{1}{2}}{3}\)
\(=\dfrac{1}{6}\)
d) \(\sqrt{\dfrac{8,1}{1,6}}\)
\(=\sqrt{5,0625}\)
\(=\sqrt{\dfrac{81}{16}}\)
\(=\dfrac{9}{4}\)
Tính:
a. \(\sqrt{\dfrac{289}{225}};\) b. \(\sqrt{2\dfrac{14}{25}};\) c. \(\sqrt{\dfrac{0,25}{9}};\) d. \(\sqrt{\dfrac{8,1}{1,6}}.\)
a) \(\sqrt{\dfrac{289}{225}}=\dfrac{\sqrt{289}}{\sqrt{225}}=\dfrac{17}{15}\)
b) \(\sqrt{2\dfrac{14}{25}}=\dfrac{\sqrt{64}}{\sqrt{25}}=\dfrac{8}{5}\)
c) \(\sqrt{\dfrac{0,25}{9}}=\dfrac{\sqrt{0,25}}{\sqrt{9}}=\dfrac{0,5}{3}=\dfrac{1}{6}\)
d) \(\sqrt{\dfrac{8,1}{1,6}}=\dfrac{\sqrt{81}}{\sqrt{16}}=\dfrac{9}{4}\)
Tính giá trị của các biểu thức sau: √49/100 ; √144/289 ; √36/√225 ; √25/√121
\(\sqrt{\dfrac{49}{100}}=\dfrac{7}{10}\\ \sqrt{\dfrac{144}{289}}=\dfrac{12}{17}\\ \dfrac{\sqrt{36}}{\sqrt{225}}=\dfrac{6}{15}=\dfrac{2}{5}\\ \dfrac{\sqrt{25}}{\sqrt{121}}=\dfrac{5}{11}\)
`\sqrt{49/100}=\sqrt{(7/10)^2}=7/10`
`\sqrt{144/289}=\sqrt{(12/17)^2}=12/17`
`\sqrt{36/225}=\sqrt{(6/15)^2}=6/15`
`\sqrt{25/121}=\sqrt{(5/11)^2}=5/11`
a) 3x + 2 . (-7) = 10
b) 25 -(30 + x) = - (27 - 8)
c) 15 - x = 12 - ( -14)
d) (4x + 11) - ( x + 34) = 67
e) 3 - 17 - x = 289 - (36 + 289)
a: =>3x=10+14=24
=>x=8
b: =>25-30-x=-19
=>-5-x=-19
=>x+5=19
=>x=14
c: =>15-x=12+14=26
=>x=-11
d: =>4x+11-x-34=67
=>3x-23=67
=>3x=90
=>x=30
e: =>-x-14=289-36-289=-36
=>x+14=36
=>x=22
a) 3x=24
x=8
b) 25-30-x=-19
25-30+19=x
14=x
c) 15-x=26
x=-11
d) 4x+11-x-34=67
3x=90
x=30
e) -14-x= -36
x=-14 -36
x= 22
Bài 28 (trang 18 SGK Toán 9 Tập 1)
Tính
a) $\sqrt{\dfrac{289}{25}}$ ; b) $\sqrt{2\dfrac{14}{25}}$ ;
c) $\sqrt{\dfrac{0,25}{9}}$ ; d) $\sqrt{\dfrac{8,1}{16}}$.
a, \(\sqrt{\frac{289}{25}}=\frac{\sqrt{289}}{\sqrt{25}}=\frac{17}{5}\)
b, \(\sqrt{2\frac{14}{25}}=\sqrt{\frac{64}{25}}=\frac{8}{5}\)
c, \(\sqrt{\frac{0,25}{9}}=\frac{\sqrt{0,25}}{\sqrt{9}}=\frac{0,5}{3}=\frac{1}{2}.\frac{1}{3}=\frac{1}{6}\)
d, \(\sqrt{\frac{8,1}{16}}\)đề có sai ko cô ?
a) căn 289 / 225 = 17/15
b) căn 64/ 25 = 8/5
c) căn 0,25 / 9 = 1/6
d) căn 8,1 / 1,6 = 9/4
1. tính
a) 16-50:25+13.7
B) 2.[(195+35:7) : 8 + 195] - 400
c) 4.{ 9.[(25+8) : 1 ] - 26} + 2002
2 . tim x
a) 16.x-9.x= 145-225:51
b) 7. ( x-14) +35 = 25 +279:9
chú ý : dấu chấm là dấu nhân , dấu x là ít
1) ( cái này tính máy tính là ra nha pn )
a)105
b) 100
c)2006
2)
a) => 7x =2390/ 17
=>x=2390/ 119
b) =>7(x-14) = (25+279:9) -35
=> 7(x-14) =21
=> x-14 =3
=> x=17
( click đúng và kết bạn với tớ nha )
1 tìm x ∈ Z
a)3-(17-x)=289-(36+289)
b)25-(x+5)=415-(15-415)
c)/x-7/+13=25
2 rút gọn
a)(a-1)-(a-3)
b)(2+b)-(b+1)
1/ a/ \(3-\left(17-x\right)=289-\left(36+289\right)\)
\(3-\left(17-x\right)=-36\)
\(17-x=3-\left(-36\right)\)
\(x=17-39=-22\)
b/ \(25-\left(x+5\right)=415-\left(15-415\right)\)
\(25-\left(x+5\right)=815\)
\(x+5=25-815\)
\(x=\left(-790\right)-5=-795\)
c/ \(\left|x-7\right|+13=25\)
\(\left|x-7\right|=25-13=12\)
\(\left|x-7\right|\Rightarrow\left[{}\begin{matrix}x-7=12\\x-7=-12\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=19\\x=-5\end{matrix}\right.\)
Câu 2:
a) (a - 1) - (a - 3) = a - 1 - a + 3 = 2
b) (2 + b) - (b + 1) = 2 + b - b - 1 = 1
Thực hiện phép tính ( tính nhanh nếu có thể )
a) 225 - ( -45 ) - 100
b) | - 25 | + | 25 | - ( - 50 )
c) 25 - 5 [( -4 )2 + 4 ] . ( -1)5
a) 225 - ( -45 ) - 100
=225+45-100
=270-100
=170
b) | - 25 | + | 25 | - ( - 50 )
=25+25+50
=50+50
=100
c) 25 - 5. [( -4 )2 + 4 ] . ( -1)5
=25-5.[(-16)+4].(-5)
=25-5.(-12).(-5)
=25-(-60).(-5)
=25-300
=-275
tick nha
a)225 -(-45) -100
=225 +45 -100
=170
b) |-25| +|25| - (-50)
=25+25+50
=(25+25)+50
=50+50=100
Tính hợp lí:
a) 125. ( -24 ) + 24 . 225
b) 24. ( -125 ) - 125. ( -36 )
c) 512. ( 2- 128 ) - 128. ( -512 )
d) ( -8 ). 25 .( -2 ). 4 .( -5 ). 125
a. 24 x (-125 + 225)
= 24 x 100
=2400
b. -125 x ( 24 -36 )
= -125 x -12
= 1500
c. 512 x (2 -128+128)
= 512 x 2
= 1024
d. \([4.25].\left[\left(-2\right).\left(-5\right)\right].\left[125.\left(-8\right)\right]\)
= 100.10.(-1000)
= -1000000
a. 24 x (-125 + 225)
= 24 x 100
=2400
b. -125 x ( 24 -36 )
= -125 x -12
= 1500
c. 512 x (2 -128+128)
= 512 x 2
= 1024
d.
= 100.10.(-1000)
= -1000000