Bài 1
a, Tính P=1+1/2(1+2)+1/3(1+2+3)+1/4(1+2+3+4)+....+1/2012(1+2+3+...+2012)
b,Tìm x thỏa mãn 4^5+4^5+4^5+4^5/3^5+3^5+3^5.6^5+6^5+6^5+6^5+6^5+6^5/2^5+2^5=2^x
1/2+1/3+2/3+1/4+2/4+3/4+1/5+2/5+3/5+4/5+...+1/n+2/n+3/n+...+n-1/n
| 5/-4 | - | 1/-3 | + -5/6 - 4 1/2 ( 4 1/2 là hỗn số ạ )
5/8 - | -1/12 | - 3 1/4 + | -5/6 | ( 3 1/4 cũng là hỗn số )
3/-7 + | -5/12 | + 3 1/4 + | -5/6 |
1 3/5 - | 1/-4 | + 2/-3 - | - 1/2 |
1, ( -2/5 + 3/10 ) : ( 2/-5 + |-4/3 - 2| )
2, 12,5 . -5/7 + 9 3/4 - 1,5 . 5/7
3, -1/4 . -5/13 - 5/4 . -7/13 + 1/1,3
4, ( -3/4 + 5/13 ) : 2/7 - ( 2 1/4 + 8/13 ) : 2/7
5, ( 3 - 3/4 + 2/3 ) - ( 2 - 4/3 - 3/2 ) - ( 1 - 7/3 - 9/2 )
6, -1/3 - 8/35 + -2/9 - 1/135 z+ 4/5 + -4/9 + 3/7
a) A= 1/3 – 3/4 – (-3/5) + 1/15 – 2/9 – 1/36 b) 2/5 + (-4/3) - 1/2 c) 1/3 – [( -5/4) – (1/4 + 3/8)]
a)-1/24-[1/4-(1/2-7/8)]
b)(5/7-7/5)-[-1/2-(-2/7-1/10)
c)(-1/2)-(-3/5)+(-1/9)+1/71-(-2/7)+4/35-7/18
d) (3-1/4+2/3) -(5-1/3-6/5)-(6-7/4+3/2)
Tính giá trị các biểu thức sau và viết kết quả dưới dạng bình phương của 1 số
A = 2^5 x (-5)^2 - 8^2 - 7
B = 2^3 x (-4)^2 + (-3)^2 x 3^2 - 40
C= (1/4 - 1/2 - 1) ^3 x (2 - 2/5)^3
D = ( -1/4)^2 : (1/2 - 1/3)
E= 4 x (1/4)^2 + 25 x [(3/4)^3 : (5/4)^3] : (3/2)^3
F = 2^3 + 3 x (1/2)^0 - 1+[(-2)^2 : 1/2] - 8
3 - 2x - (5/4 - 7/5) = 9/20
x : (-2/3) mũ 3 = -2/3
(2/5) mũ 5 nhân x = (2/5) mũ 7
343/125 = (7/5) mũ x
(-1/3) nhân x = -1/243
Tính:
(-2 1/2) mũ 3
(1 + 1/2 - 1/4) mũ 2 nhân 2022
2 : (1/2 - 2/3) mũ 3
7 nhân 2 mũ 3 - 5 nhân {[10,51 + 4 nhân (3/4 - 2/5) mũ 2] - 2022}
Tính:
a) -5/7(14/5 - 7/10) : |-2/3| - 3/4(8/9 + 16/3) + 10/3(1/3 + 1/5)
b) 17/-26(1/6 - 5/3) : 17/13 - 20/3(2/5 - 1/4) + 2/3(6/5 - 9/2)
c) -8/9(9/8 - 3/2) + 5/4 : (5/2 - 15/4) - 3/4(10/9 - 8/3) : (-1/3)
d) 21/10 : (12/5 - 9/10) . (-4/7) - 3/2(1/6 - 7/12) + 1/5(3/2 - 1/4)
1) Tìm x,biết :
a) 3/2 . |x-5/3| - 4/5 = 4/3 . |x-5/3| + 1
b) 2.|3x +1| = 1/3 . |3x + 1| +5
c) 1/4 - 5/2 . | 3x - 1/5| = 2/3. |3x - 1/5| - 2/3