Câu 1: Thực hiện phép tính
a, \(\dfrac{7}{9}-\dfrac{16}{9}\)
b, \(\dfrac{2}{-15}+\dfrac{7}{10}\)
c, \(\left(4\dfrac{2}{3}-4\dfrac{3}{4}\right):\dfrac{-5}{12}-\dfrac{4}{5}\)
d, \(\dfrac{-141}{157}.\dfrac{23}{59}-\dfrac{141}{157}.\dfrac{36}{59}+\dfrac{16}{-157}\)
a. 7/9 - 16/9 = -9/9 = -1
b. 2/-15 + 7/10 = 17/30
c. (4 2/3 - 4 3/4) : -5/12 - 4/5
= (14/3 - 19/4) : (-5/12) - 4/5
= -1/12 : (-5/12) - 4/5
= 1/5 - 4/5
= -3/5
Thực hiện phép tính
a)7/16 + 5/24 b)11/15 - 5/12
\(a,=\dfrac{21}{48}+\dfrac{10}{48}=\dfrac{31}{48}\\ b,=\dfrac{44}{60}-\dfrac{25}{60}=\dfrac{19}{60}\)
bài 1:thực hiện phép tính
a)4^8.8^15
b)4^15.5^30
c)27^16:9^10
d)
A) 410 . 815 = (22)10 . (23)15 = 220 . 245 = 220+45=265
B) 415 . 530 = (22)15 . 530 = 230 . 530 = (2 . 5)30 = 1030
C) 2716 : 910 = (33)16 : (32)10 = 348 : 320 = 348-20=328
1 Tính
a \(\sqrt{36}-\sqrt{100}\)
b Tìm x để biểu thức \(\sqrt{\dfrac{2}{2x-1}}\) có nghĩa
2 Thực hiện phép tính
a) A = \(\left(15\sqrt{180}-5\sqrt{200}-3\sqrt{450}\right):\sqrt{10}\)
b) B = \(\sqrt{32}-\sqrt{50}-16\sqrt{\dfrac{1}{8}}\)
1:
a: \(\sqrt{36}-\sqrt{100}=6-10=-4\)
b: Để \(\sqrt{\dfrac{2}{2x-1}}\) có nghĩa thì \(\dfrac{2}{2x-1}>=0\)
=>2x-1>0
=>x>1/2
2:
a: \(A=\dfrac{\left(15\sqrt{180}-5\sqrt{200}-3\sqrt{450}\right)}{\sqrt{10}}\)
\(=15\sqrt{\dfrac{180}{10}}-5\sqrt{\dfrac{200}{10}}-3\sqrt{\dfrac{450}{10}}\)
\(=15\sqrt{18}-5\sqrt{20}-3\sqrt{45}\)
\(=45\sqrt{2}-10\sqrt{5}-9\sqrt{5}\)
\(=45\sqrt{2}-19\sqrt{5}\)
b: \(B=\sqrt{32}-\sqrt{50}-16\sqrt{\dfrac{1}{8}}\)
\(=4\sqrt{2}-5\sqrt{2}-\dfrac{16}{\sqrt{8}}\)
\(=-\sqrt{2}-2\sqrt{8}=-\sqrt{2}-4\sqrt{2}=-5\sqrt{2}\)
Bài 1) Thực hiện phép tính
a) 1-3+5-7+9-12+15-18
b) (-2)+5-7+9-11+13-15+19-21
a) 1-3+5-7+9-12+15-18
= (1+ 9) - (3+7) + (5+15) - (12+18)
= 10 - 10 + 20 - 30 = -10.
b) (-2)+5-7+9-11+13-15+19-21
= 5 - 11 - 2 -2 = 5 - (11+2+2)
= 5 - 15 = -10
Bài 1:
a) Ta có: 1-3+5-7+9-12+15-18
=(1+9)-(3+7)+(5+15)-(12+18)
=10-10+20-30
=-10
b) Ta có: \(\left(-2\right)+5-7+9-11+13-15+19-21\)
\(=3+2+2+4-21\)
\(=5+6-21\)
=11-21=-10
Bài 5) Tính giá trị của biểu thức
a) A=1.2+2.3+3.4+...+9.10
b) B=3.4+4.5+5.6+...+198.199+199.200
c) C=1.2.3+2.3.4+3.4.5+...+8.9.10
d) D=31.32.33+32.33.34+...+58.59.60
e) E=1.3+3.5+5.7+...+95.97+97.99
f) F=51.53+53.55+...+153.155+155.157
g) G=1.3.5+3.5.7+...+15.17.19+17.19.21
h) H=2.4+4.6+6.8+...+96.98+98.100
thực hiện phép tính
a)\(\dfrac{1}{x-5x^2}\)-\(\dfrac{25x-15}{25x^2-1}\)
b)(-\(\dfrac{1}{x^2-4x}+\dfrac{2}{16-x^2}-\dfrac{-1}{4x+16}\))\(\div\dfrac{1}{4x}\)
`a)1/[x-5x^2]-[25x-15]/[25x^2-1]`
`=[-(5x+1)-x(25x-15)]/[x(5x-1)(5x+1)]`
`=[-5x-1-25x^2+15x]/[x(5x-1)(5x+1)]`
`=[-25x^2+10x-1]/[x(5x-1)(5x+1)]`
`=[-(5x-1)^2]/[x(5x-1)(5x+1)]`
`=[1-5x]/[x(5x+1)]`
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`b)(-1/[x^2-4x]+2/[16-x^2]-[-1]/[4x+16]):1/[4x]`
`=[-4(x+4)-8x+x(x-4)]/[4x(x-4)(x+4)].4x`
`=[-4x-16-8x+x^2-4x]/[(x-4)(x+4)]`
`=[x^2-16x-16]/[x^2-16]`
Thực hiện phép tính
a)-3/5 + 1/4 + -3/10
b)1/5 + -9/10 + -7/25
c)31/23 - ( 7/32 + 8/23 )
a: =-12/20+5/20-6/20
=-13/20
b: =10/50-45/50-14/50
=-49/50
c: =31/23-7/32-8/23=1-7/32=25/32
`a)-3/5 + 1/4 + -3/10= (-12)/20 + 5/20 + (-6)/20 = -13/20`
`b)1/5 + -9/10 + (-7/25)= 10/50 + (-45)/50 + (-14)/50 = (-49)/50`
`c)31/23 - ( 7/32 + 8/23 )= 31/23 - 417/736 =992/736 - 417/736 = 575/736=25/32 `
Bài 1: Thực hiện phép tính
a, 3.5 mũ 2 + 15.2 mũ 2 - 16:2
b, 5 mũ 3.2 - 100:4 + 2 mũ 3.5
c, 6 mũ 2:9 + 50.2 - 3 mũ 3.3
a, = 3.25 + 15.4 - 16 : 2 = 75 + 60 - 8 = 135 - 8 = 127
Bài 1: Thực hiện phép tính
a, 3.5 mũ 2 + 15.2 mũ 2 - 16:2
b, 5 mũ 3.2 - 100:4 + 2 mũ 3.5
c, 6 mũ 2:9 + 50.2 - 3 mũ 3.3
Bài 4: Thực hiện phép tính
a) \(\dfrac{9}{180}+\dfrac{36}{144}\)
b) \(\dfrac{28}{49}-\dfrac{15}{60}\)
c) \(\dfrac{26}{39}+\dfrac{65}{169}-\dfrac{3}{5}\)
a) \(\dfrac{3}{10}\)
b) \(\dfrac{9}{28}\)
c) \(\dfrac{88}{195}\)
