Câu 1:
a) Tính giá trị biểu thức sau: A=(-1).(-1)^2.(-1)^3.(-1)^4.....(-1)^2010.(-1)^2011
b)Tính nhanh: B= 13/3+13/3.5+13/5.7+13/7.9+13/9.11+13/11.13
Giúp mình với nhaa!!! Thanks mn!!!
Tính hợp lí
a) 3/5.7 + 3/7.9 +.....+ 3/59.61
b) 5/22 + 3/13 - 1/2 / 4/13 - 2/11+ 3/2
mn gúp hộ em với
a) Ta có: \(\dfrac{3}{5\cdot7}+\dfrac{3}{7\cdot9}+...+\dfrac{3}{59\cdot61}\)
\(=\dfrac{3}{2}\left(\dfrac{2}{5\cdot7}+\dfrac{2}{7\cdot9}+...+\dfrac{2}{59\cdot61}\right)\)
\(=\dfrac{3}{2}\left(\dfrac{1}{5}-\dfrac{1}{61}\right)\)
\(=\dfrac{3}{2}\cdot\dfrac{56}{305}=\dfrac{84}{305}\)
a)
3/5.7+3/7.9+...+3/59.61
=3/2.(2/5.7+2/7.9+...+2/59.61)
=3/2.(1/5−1/7+1/7−1/9+...+1/59−1/61)
=3/2(1/5−1/61)
=3/2.56/305
=844/305
b) câu b, bạn vt hơi khó hiểu
\(\frac{2}{3}x-\frac{780}{11}:\left(\frac{13}{3.5}+\frac{13}{5.7}+\frac{13}{7.9}+\frac{13}{9.11}\right)=-5\)
2\3x-780\11:[13\2.(1\3.5+1\5.7+1\7.9+1\9.11]=-5
2\3x-780\11:[13\2.(1\3-1\5+1\5-1\7+....+1\9-1\11)]=-5
2\3x-780\11:[13\2.(1\3-1\11)]=-5
2\3x-780\11:[13\2.8\33]=-5
2\3x-780\11:52\33=-5
2\3x-525\13=-5
2\3x=-5+525\13
2\3x=460\13
x=460\13:2\3
x=690\13
tinh nhanh
a,5/13+5/17+ -20/41+8/13+ -21/41
b,53/117.129/311+53/117.43/311- -64/117.172/311
c,C=[-1/7]:2/3+[-1/7]:2
d,D=1/3.5+1/5.7+1/7.9+1/9.11+1/11.13+1/13.15
ai nhanh minh tick cho
Dấu chấm là nhân nhé !
Tính tổng:
A= 1/2+1/4+1/8+1/16
B= 75/100+18/21+19/32+1/4+3/21+13/32
C= 2/3.5+2/5.7+2/7.9+...+2/41.43
D= 1/10+1/15+1/21+...+1/120
Thanks
8)Tính nhanh :
a) -3/7+5/13+ -4/7
b)-5/8+3/4+ -1/5+-3/8+1/4
c)6/7.8/13+6/7.9/13+ -3/13.6/7
d)-5/7.2/11+ -5/7.9/11+1 5/7
e)11 3/13 - (2 4/7+5 3/13)
f) (1-1/2)(1-1/3)(1-1/4)(1-1/5)
Tính
A=13/21.2/11+13/21.9/11+8/21.
B=(1-1/5).(1-2/5).(1-3/5)...(1-9/5)
C= (1-1/2).(1-1/3).(1-1/4)...(1-1/50)
D= 2²/1.3 . 3²/2.4 . 4²/3.5 . 5²/4.6 . 6²/5.7
A = 13/21.2/11 + 13/21.9/11 + 8/21
= (13/21) + (13/21) + (8/21)
= (13 + 13 + 8)/21
= 34/21
B = (1 - 1/5)(1 - 2/5)(1 - 3/5)...(1 - 9/5)
= (4/5)(3/5)(2/5)(1/5)(0/5)(-1/5)(-2/5)(-3/5)(-4/5)
= 0
C = (1 - 1/2)(1 - 1/3)(1 - 1/4)...(1 - 1/50)
= (1/2)(2/3)(3/4)(4/5)...(49/50)
= 1/50
D = (2^2/1.3) * (3^2/2.4) * (4^2/3.5) * (5^2/4.6) * (6^2/5.7)
= (4/3) * (9/8) * (16/15) * (25/23) * (36/35)
= 0.979
Tính giá trị biểu thức: A= 2/15-1/4+13/15+1/2-3/4 B=-3,6.5,4+5,4.(-6,4) Giúp mình với ạ cần gấp.!
a: \(A=\dfrac{2}{15}+\dfrac{13}{15}-\dfrac{1}{4}-\dfrac{3}{4}+\dfrac{1}{2}=\dfrac{1}{2}\)
b: =5,4(-3,6-6,4)
=5,4*(-10)
=-54
Bài 1: Tính giá trị biểu thức (bằng cách hợp lý nếu có thể). 1. 2 a) 2-+ 2 5 42-:(-15 b) 6. (-1 6. -4 5 -12 4 4 c) 13 17 13 17 13 d) 2' +3. .8
Tính giá trị các biểu thức sau một cách hợp lí:
A = 5/11 . 5/7 + 5/11 . 2/7 + 6/11
B= 3/13 . 6/11 + 3/13 . 9/11 – 3/13 . 4/11
C= ( 12/16 – 31/22 + 14/91 ) . (1/2 – 1/3 – 1/6 )
Hãy giúp mk
\(A=\dfrac{5}{11}.\dfrac{5}{7}+\dfrac{5}{11}.\dfrac{2}{7}+\dfrac{6}{11}=\dfrac{5}{11}\left(\dfrac{5}{7}+\dfrac{2}{7}\right)+\dfrac{6}{11}=\dfrac{5}{11}.1+\dfrac{6}{11}=\dfrac{5}{11}+\dfrac{6}{11}=\dfrac{11}{11}=1\)
\(B=\dfrac{3}{13}.\dfrac{6}{11}+\dfrac{3}{13}.\dfrac{9}{11}-\dfrac{3}{13}.\dfrac{4}{11}=\dfrac{3}{13}\left(\dfrac{6}{11}+\dfrac{9}{11}-\dfrac{4}{11}\right)=\dfrac{3}{13}.1=\dfrac{3}{13}\)
\(C=\left(\dfrac{12}{16}-\dfrac{31}{22}+\dfrac{14}{91}\right)\left(\dfrac{1}{2}-\dfrac{1}{3}-\dfrac{1}{6}\right)=\left(\dfrac{12}{16}-\dfrac{31}{22}+\dfrac{14}{91}\right)\left(\dfrac{3}{6}-\dfrac{2}{6}-\dfrac{1}{6}\right)=\left(\dfrac{12}{16}-\dfrac{31}{22}+\dfrac{14}{91}\right).0=0\)