Cho B=(1+1/2)*(1+1/5)*(1+1/9)*.....*(1+1/740).Tính B
Giúp mình với , mình cần gấp :
a) Tính nhanh :
A = 1/3 - 3/4 - ( - 3/5 ) + 1/72 -2/9 - 1/36 +1/15
b) Tính nhanh :
B = 1/5 - 3/7 + 5/9 - 2/11 + 7/13 - 2/11 - 5/9 + 3/7 - 1/5
c) Tính nhanh :
C = 1/100- 1/100.99 - 1/99.98 - 1/98.97 - ..............- 1/3.2 -1/2.1
c/
C = 1/100-1/100-1/99-1/99-1/98-1/98-1/97-..........-1/3-1/2-1/2-1/1
C = 1/100-1/100-1/1
C = 0-1/1
C = -1
1.Tính nhanh:
a,7/9*2/5+7/5*1/5+3/5*2/9
b,(2/5+6/7+8/9):(3/5+9/7+4/5)
d.(1/2+2/6+1/12+.....+1/9900)*(1/3+1/2+5/6)
bn nào làm xong và nhanh mk tick cho ha!!!!!!!
Tính nhanh bằng cách rút gọn rồi tính:
a.(1/2+1/3+1/4+1/5+1/6+1/7+1/8+1/9)-(1/3+1/4+1/5+1/6+1/7+1/8+1/9+1/10)
b.(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)+(1/6-1/7)+(1/7-1/8)
Ai nhanh mình tick cho!
a) 1/2
b) 3/8
~~~~~~~~~hok tốt~~~~~~~~~~~~
A/ \(\frac{1}{2}\)
B/ \(\frac{3}{8}\)
1, Cho A = 1/ 1.300 + 1/2.301 + 1/3.302 + ... + 1/101.400
B = 1/1.102 + 1/2.103 + 1/3.104 + ... + 1/299.400
Tính A chia B
2, CMR : 2/5 < 1/2^2 + 1/3^2 + ... + 1/9^2 < 8/9
Ta có :\(A=\frac{1}{1.300}+\frac{1}{2.301}+...+\frac{1}{101.400}\)
\(\Rightarrow A=\frac{1}{299}.\left(\frac{299}{1.300}+\frac{299}{2.301}+...+\frac{299}{101.400}\right)\)
\(\Rightarrow A=\frac{1}{299}.\left(1-\frac{1}{300}+\frac{1}{2}-\frac{1}{301}+...+\frac{1}{101}-\frac{1}{400}\right)\)
\(\Rightarrow A=\frac{1}{299}.\left[\left(1+\frac{1}{2}+...+\frac{1}{101}\right)-\left(\frac{1}{300}+\frac{1}{301}+...+\frac{1}{400}\right)\right]\)
Ta có:\(B=\frac{1}{1.102}+\frac{1}{2.103}+...+\frac{1}{299.400}\)
\(\Rightarrow B=\frac{1}{101}.\left(\frac{101}{1.102}+\frac{101}{2.103}+...+\frac{101}{299.400}\right)\)
\(\Rightarrow\frac{1}{101}.\left(1-\frac{1}{102}+\frac{1}{2}-\frac{1}{102}+...+\frac{1}{299}-\frac{1}{400}\right)\)
\(\Rightarrow B=\frac{1}{101}.\left[\left(1+\frac{1}{2}+...+\frac{1}{299}\right)-\left(\frac{1}{102}+\frac{1}{103}+...+\frac{1}{400}\right)\right]\)
\(\Rightarrow B=\left[\left(1+\frac{1}{2}+...+\frac{1}{299}\right)-\left(\frac{1}{300}+\frac{1}{301}+...+\frac{1}{400}\right)\right]\)
\(\Rightarrow\frac{A}{B}=\frac{\frac{1}{299}.\left[\left(1+\frac{1}{2}+...+\frac{1}{101}\right)-\left(\frac{1}{300}+\frac{1}{301}+...+\frac{1}{400}\right)\right]}{\frac{1}{101}.\left[\left(1+\frac{1}{2}+...+\frac{1}{101}\right)-\left(\frac{1}{300}+\frac{1}{301}+...+\frac{1}{400}\right)\right]}\)
\(\Rightarrow\frac{A}{B}=\frac{1}{299}\div\frac{1}{101}\)
\(\Rightarrow\frac{A}{B}=\frac{101}{299}\)
Bài 1. Cho A = 1 + 2 + 2^2 + 2^3+ .......+ 2^11. Ko tính tổng A , chứng tỏ A chia hết cho 3
Bài 2 Tính :2 . 5^2 + 3: 71^0 - 54: 3^3
Bài 3 : tìm x , biết
a / ( 2x -6 ) . 4^7= 4^9
b/ ( 27 . x + 6 ) : 3 - 11 = 9
c / 740 : ( x + 10 ) = 10^2 - 2 . 13
d / ( 15 - 6x ) . 3^5 = 3^6
Bài 4 : Chứng minh rằng : ab + ba chia hết cho 11
Bài 1 :
A = 1 + 2 + 22 + ... + 211
A = ( 1 + 2 ) + ( 22 + 23 ) + ... + ( 210 + 211 )
A = 3 + 22(1+2) + ... + 210(1+2)
A = 1.3 + 22.3 + ... + 210.3
A = 3.(1+22+...+210) chia hết cho 3
Bài 2 :
2.52 + 3:710 - 54:33
= 2.25 + 3:1 - 54:27
= 50 + 3 - 2
= 49
Bài 3 :
a) ( 2x - 6 ) . 47 = 49
2x - 6 = 42 = 16
2x = 16
=> x = 8
b) ( 27x + 6 ) : 3 - 11 = 9
( 27x + 6 ) : 3 = 20
27x + 6 = 60
27x = 54
=> x = 2
c) 740 : ( x + 10 ) = 102 - 2.13
740 : ( x + 10 ) = 74
x + 10 = 10
=> x = 0
d) ( 15 - 6x ) . 35 = 36
15 - 6x = 3
6x = 12
=> x = 2
Bài 4 :
Ta có : ab + ba = ( 10a + b ) + ( 10b + a ) = ( 10a + a ) + ( 10b + b ) = 11a + 11a = 11.(a+b) chia hết cho 11
Bài 1 :
A = 1 + 2 + 22 + ... + 211
A = ( 1 + 2 ) + ( 22 + 23 ) + ... + ( 210 + 211 )
A = 3 + 22(1+2) + ... + 210(1+2)
A = 1.3 + 22.3 + ... + 210.3A = 3.(1+22+...+210) chia hết cho 3
Bài 2 :
2.52 + 3:710 - 54:33
= 2.25 + 3:1 - 54:27
= 50 + 3 - 2= 49
Bài 3 :
a) ( 2x - 6 ) . 47 = 49
2x - 6 = 42 = 16
2x = 16
=> x = 8
b) ( 27x + 6 ) : 3 - 11 = 9
( 27x + 6 ) : 3 = 20
27x + 6 = 60
27x = 54
=> x = 2
c) 740 : ( x + 10 ) = 102 - 2.13
740 : ( x + 10 ) = 74
x + 10 = 10
=> x = 0
d) ( 15 - 6x ) . 35 = 36
15 - 6x = 3
6x = 12
=> x = 2
Bài 4 :
Ta có : ab + ba = ( 10a + b ) + ( 10b + a ) = ( 10a + a ) + ( 10b + b ) = 11a + 11a = 11.(a+b) chia hết cho 11
Tính tỉ số A/B biết:A=(1/1*2+1/3*4+1/5*6+...1/9*10)B=(1/6*10+1/7*9+1/8*8+1/9*7+1:10*6
Cho A= 5/9 - 7/8 + 2/3 + 4/9 - 1/8 + 1/3
B= 1/2 + 1/6 + 1/12 + 1/20 + 1/30 + 1/42
a) Tính A và B
b) Tìm C biết:(A- 7B) của C bằng 2010
GIÚP MK VS
Tính: a) 1/8 - 1/2 b) -11/12 - (-2) c) -1/12 - 1/9 d) -5/9 - (-5)/12
a)=\(-\dfrac{3}{8}\)
b)=\(\dfrac{13}{12}\)
c)=\(-\dfrac{7}{36}\)
d)=\(-\dfrac{5}{36}\)
\(\dfrac{1}{8}-\dfrac{1}{2}=\dfrac{1-4}{8}=\dfrac{-3}{8}.\\ \dfrac{-11}{12}-\left(-2\right)=\dfrac{-11}{12}+2=\dfrac{13}{12}.\\ \dfrac{-1}{12}-\dfrac{1}{9}=\dfrac{-7}{36}.\\ \dfrac{-5}{9}-\dfrac{-5}{12}=\dfrac{-5}{36}.\)
b1: th phép tính a. 10/11 : 19/22 + 9/11 : 19/22 b. 20/9 . 84 - 2/9 . 84 c. (1/2 - 1/3) . (5 - 1/4) d. (1/2 - 1/3 - 1/6) . (3/202 + 4/203 + 5/204) b2: th phép tính a. 4 3/8 + 5 2/3 ( hỗn số) b. 2 3/8 + 1 1/4 + 3 6/7 (hỗn số) c. 2 3/8 - 1 1/4 + 5 1/3 (hỗn số) d. 3 5/6 + 2 1/6 . 6 (hỗn số) e. 3 1/2 + 4 5/7 - 5 5/14 (hỗn số) f. 4 1/2 + 1/2 : 5 1/2 (hỗn số) giúp với ạ
2:
a: =4+3/8+5+2/3
=9+3/8+2/3
=216/24+9/24+16/24
=216/24+25/24
=241/24
b; =2+3/8+1+1/4+3+6/7
=6+3/8+1/4+6/7
=6+5/8+6/7
=419/56
c: \(=2+\dfrac{3}{8}-1-\dfrac{1}{4}+5+\dfrac{1}{3}\)
=6+3/8-1/4+1/3
=6+1/8+1/3
=6+11/24
=155/24
d: \(=3+\dfrac{5}{6}+6\cdot\dfrac{13}{6}\)
=3+13+5/6
=16+5/6
=101/6
e: =3+1/2+4+5/7-5-5/14
=3+4-5+1/2+5/7-5/14
=2+7/14+10/14-5/14
=2+12/14
=2+6/7=20/7
f: =9/2+1/2:11/2
=9/2+1/11
=99/22+2/22=101/22