Thực hiện các phép tính:
a) 26 , 05 + 132 , 5 + 4 , 28
b) 15 , 37 − 13 , 37 .0 , 12
c) − 1 , 2 . − 3 24 + 0 , 4 − 1 4 15 : 1 2 3
Câu 1: Thực hiện phép tính:
a) 11/121+(-12/132)+3/123456
\(=\dfrac{1}{11}-\dfrac{1}{11}+\dfrac{1}{41152}=\dfrac{1}{41152}\)
Thực hiện các phép tính:
a. 4x2(5x3 – 2x + 3)
b.( 2x +5)( 3x -2)
c. .
Thực hiện các phép tính:
a. 4x2(5x3 – 2x + 3)
b.( 2x +5)( 3x -2)
c.
a) 4x^2 ( 5x^3 - 2x + 3 )
= 20x^5 - 8x^3 + 12x^2
b) ( 2x + 5 ) ( 3x - 2 )
= 6x^2 - 4x + 15x - 10
= 6x^2 + 11x - 10
c) ( 5x + y )^2
= ( 5x )^2 + 2 . 5x . y + y^2
= 24x^2 + 10xy + y^2
Bài 1: (1.5 điểm) Thực hiện các phép tính:
a) 4√24 - 3√54 + 5√6 - √150
Bài 1:
a) 4√24 - 3√54 + 5√6 - √150
= 8√6 - 9√6 + 5√6 - 5√6
= -√6
a: \(=4\cdot2\sqrt{6}-3\cdot3\sqrt{6}+5\sqrt{6}-5\sqrt{6}\)
\(=8\sqrt{6}-9\sqrt{6}=-\sqrt{6}\)
b: \(=2\left(3-2\sqrt{2}\right)-2\left(3+2\sqrt{2}\right)\)
\(=6-4\sqrt{2}-6-4\sqrt{2}=-8\sqrt{2}\)
c: \(=\sqrt{3-\sqrt{5}}-\sqrt{3+\sqrt{5}}\)
\(=\dfrac{\sqrt{6-2\sqrt{5}}-\sqrt{6+2\sqrt{5}}}{\sqrt{2}}\)
\(=\dfrac{\sqrt{5}-1-\sqrt{5}-1}{\sqrt{2}}=-\dfrac{2}{\sqrt{2}}=-\sqrt{2}\)
Bài 1: Thực hiện phép tính:
a) 3.52 + 15.22 – 26:2
b) 53.2 – 100 : 4 + 23.5
c) 62 : 9 + 50.2 – 33.3
d) 2345 – 1000 : [19 – 2(21 – 18)2]
e) 128 – [68 + 8(37 – 35)2] : 4
f) 568 – {5[143 – (4 – 1)2] + 10} : 10
e: \(=128-\left[68+8\cdot4\right]:4=128-25=103\)
\(a.3.5^2+15.2^2-26:2\) \(b.5^3.2-100:4+2^3.5\)
\(=75+60-13\) \(=250-25+40\)
\(=135+13=148\) \(=265\)
\(c.6^2:9+50.2-3^3.3\) \(d.2345-1000:\left[19-2.\left(21-18\right)^2\right]\)
\(=4+100-81\) \(=2345-1000:\left[19-2.3^2\right]\)
\(=23\) \(=2345-1000:\left[19-18\right]\)
\(=2345-1000:1\)
\(=2345-1000=1345\)
\(e.128-\left[68+8.\left(37-35\right)^2\right]:4\)
\(=128-\left[68+8.2^2\right]:4\)
\(=128-\left[68+32\right]:4\)
\(=128-100:4\)
\(=128-25=103\)
\(f.568-\left\{5.\left[143-\left(4-1\right)^2\right]+10\right\}:10\)
\(=568-\left\{5.\left[143-3^2\right]+10\right\}:10\)
\(=568-\left\{5.134+10\right\}:10\)
\(=568-\left\{670+10\right\}:10\)
\(=568-680:10\)
\(=568-68=500\)
Thực hiện phép tính:
a) 3/5 + 13/5 - 5/9 - 3/7
`a)3/5+13/5-5/9-3/7`
`=16/5-5/9-3/7`
`=698/315`
3/5 + 13 /5 -5/9 - 3/7 = 698/315
Thực hiện phép tính:
a) 3/5 + 13/25 - 5/9 - 6/14
\(\dfrac{3}{5}+\dfrac{13}{25}-\dfrac{5}{9}-\dfrac{3}{7}\)
\(=\dfrac{15}{25}+\dfrac{13}{25}-\dfrac{35}{63}-\dfrac{27}{63}\)
\(=\dfrac{28}{25}-\dfrac{62}{63}=\dfrac{214}{1575}\)
Thực hiện phép tính:
a) {[(37 + 13) : 5] - 45 : 5} .7
62.10 : {780 : [103 - (2.53 + 35.14)]}
\(a,\left\{\left[\left(37+13\right):5\right]-45:5\right\}.7\)
\(=\left\{\left[50:5\right]-45:5\right\}.7\)
\(=\left\{10-45:5\right\}.7\)
\(=\left\{10-9\right\}.7\)
\(=1.7=7\)
\(6^2.10:\left\{780:\left[10^3-\left(2.5^3+35.14\right)\right]\right\}\)
\(=36.10:\left\{780:\left[1000-\left(2.125+35.14\right)\right]\right\}\)
\(=360:\left\{780:\left[1000-\left(250+490\right)\right]\right\}\)
\(=360:\left\{780:\left[1000-740\right]\right\}\)
\(=360:\left\{780:260\right\}\)
\(=360:3=120\)
Bài 5: Thực hiện phép tính:
a) 47 – [(45.24 – 52.12):14] | a) 3.52 + 15.22 – 26:2 |
b) 50 – [(20 – 23) : 2 + 34] | b) (- 25) . (- 4 ) + (- 70) . 3 |
c) 102 – [60 : (56 : 54 – 3.5)] | c) 62 : (- 9) - 50.2 – 33.(- 3) |
d) 50 – [(50 – 23.5):2 + 3] | d) 32.(- 50) - 23.10 – 81: (- 3) |
e) 10 – [(82 – 48).5 + (23.10 + 8)] : 28 | e) 513 : 510 – 25.22 |
f) 8697 – [37 : 35 + 2(13 – 3)] | f) 20 : 22 + 59 : 58 |
g) 2011 + 5[300 – (17 – 7)2] | g) 100 : 52 + 7.32 |
h) 695 – [200 + (11 – 1)2] | h) 84 : 4 + 39 : 37 + 50 |
i) 129 – 5[29 – (6 – 1)2] | i) 29 – [16 + 3.(51 – 49)] |
j) 2010 – 2000 : [486 – 2(72 – 6)] | j) 53.2 – 100 : 4 + 23.5 |
f: =20:4+5
=5+5
=10
e: =125-100=25
Thực hiện phép tính:
a) 2xy.(3x2-5xy+4y2)
b) (x-3)2+(x+5).(5-x)
a) \(2xy\left(3x^2-5xy+4y^2\right)=6x^3y-10x^2y^2+8xy^3\)
b) \(\left(x-3\right)^2+\left(x+5\right)\left(5-x\right)=x^2-6x+9+25-x^2=34-6x\)
a: \(2xy\left(3x^2-5xy+4y^2\right)=6x^3y-10x^2y^2+8xy^3\)
b: \(\left(x-3\right)^2+\left(x+5\right)\left(5-x\right)\)
\(=x^2-6x+9+25-x^2\)
=-6x+34