Tính:
B= 1/17 + 7/17.27 +7/27.37 + ..... + 7/1997.2007
1/Tính :
a. A= 1/17+ 7/17.27 + 7/27.37 + .................... +7/1997.2007
b. B=-1/2007.2006 - 1/2005.2006 - 1/2005.2004 - .................... - 1/3.2 - 1/2.1
2/Tim x biết :
2/(x+2)(x+4) + 4/(x+4)(x+8) + 6/(x+8)(x+14) = x/(x+2)(x+14)
Với x không thuộc tập hợp {-2;-4;-6;-8;-14}
A = 7/7.17 + 7/17.27 + 7/27.37 + ............ +7/1997.2007
A=7/10 ( 10/7.17 + 10/17.27 + 10/27.37 + ................+10/1997.2007)
A= 7/10 ( 1/7 -1/17 + 1/17 - 1/27 + 1/27 - 1/37 +...............+ 1/1997 - 1/2007)
A= 7/10 (1/7 - 1/2007)
A= 7/10 . 2000/14049
A=200/2007
bây h mk có vc rùi tích đúng nha tối mk lm típ cho
Thực hiện các phép tính:
a. 2.(72 – 2.32) – 60
b. 27.63 + 27.37
c. l-7l + (-8) + l-11l + 2
d. 568 – 34 {5.l9 – ( 4-1)2l + 10}
a. 2.(72 – 2.32) – 60
= 2.(49 – 2.9) – 60
= 2.31 – 60
= 62 – 60 = 2
b. 27.63 + 27.37
= 27.(63 + 37)
= 27.100
= 2700
c. l-7l + (-8) + l-11l + 2
= 7 + (-8) + 11 + 2
= 12
d. 568 – 34 {5.l9 – ( 4-1)2l + 10}
= 568 – 34 {5.[9-9] + 10}
= 568 – 34.10
= 568 – 340
= 228
2 . ( 72 - 2 . 32) - 60
= 2 . ( 72 - 64 ) - 60
= 2. 8 - 60
= 16 - 60
= - 44
27. 63 + 27 . 37
= 27 . ( 63 + 37)
= 27 . 100
= 2700
tính nhanh: A=2/7 + -3/ 8 + 11/7 + 1/ 3 + 1/ 7 + 5 / -8; B=3/17 + -5/ 13 + -18/35 + 14/ 17 + 17
\(A=\frac{2}{7}+\frac{-3}{8}+\frac{11}{7}+\frac{1}{3}+\frac{1}{7}+\frac{5}{-8}\)
\(A=\left(\frac{2}{7}+\frac{11}{7}+\frac{1}{7}\right)+\left(\frac{-3}{8}+\frac{5}{-8}\right)+\frac{1}{3}\)
\(A=2-1+\frac{1}{3}\)
\(A=\frac{4}{3}\)
\(B=\frac{3}{17}+\frac{-5}{13}+\frac{-18}{35}+\frac{14}{17}+17\)
\(B=\left(\frac{3}{17}+\frac{14}{17}\right)+\frac{-5}{13}+\frac{-18}{35}+17\)
\(B=1+\frac{-5}{13}+\frac{-18}{35}+17\)
\(B=18+\frac{-5}{13}+\frac{-18}{35}\)
\(B=\frac{7781}{455}\)
Tính
a) (7/2+17/3)+8/19-(5/2+14/3)×8/19
b) 17/7÷|1/2-1/7|
c) |-2/5+1/7|÷ (-3/33)+(-3/35)+(-3/7)×7/5
1, Cho S=17+172+173+....+1718
a, CMR S chia hết cho 307
b, Tìm ƯCLN(S,18)
2, Cho B= 7+73+75+77+.....799
a, Tính B
b, CMR (7100-1) cHIa HẾT Cho 48
Tính
a) 8/21+13/21
b) 5/6:-7/12
c) -4 và 1/4 - 3/4
d) 7/9x8/17+7/9x15/17-7/9x6/17
a) \(\frac{8}{21}+\frac{13}{21}=\frac{8+13}{21}=\frac{21}{21}=1\)
b) \(\frac{5}{6}:\frac{-7}{12}=\frac{5}{6}.\frac{12}{-7}=\frac{10}{-7}\)
c) \(-4\frac{1}{4}-\frac{3}{4}=\frac{-17}{4}-\frac{3}{4}=\frac{-17-3}{4}=\frac{-20}{4}=-5\)
d) \(\frac{7}{9}.\frac{8}{17}+\frac{7}{9}.\frac{15}{17}-\frac{7}{9}.\frac{6}{17}\)
\(=\frac{7}{9}.\left(\frac{8}{17}+\frac{15}{17}-\frac{6}{17}\right)\)
\(=\frac{7}{9}.\frac{17}{17}\)
\(=\frac{7}{9}.1\)
\(=\frac{7}{9}\)
a) \(\frac{8}{21}+\frac{13}{21}=1\)
b) \(\frac{5}{6}\div\frac{-7}{12}=\frac{5}{6}.\frac{-12}{7}=\frac{-10}{7}\)
c) \(-4\frac{1}{4}-\frac{3}{4}=\frac{-17}{4}-\frac{3}{4}=-5\)
d) \(\frac{7}{9}.\frac{8}{17}+\frac{7}{9}.\frac{15}{7}-\frac{7}{9}.\frac{6}{17}=\frac{7}{9}.\left(\frac{8}{17}+\frac{15}{17}-\frac{6}{17}\right)=\frac{7}{9}.1=\frac{7}{9}\)
tính bằng cách thuận tiện nhất :
a) 17 / 23 + ( 1 - 17 / 23 )
b) 17 / 12 + 9 / 7 - ( 2 / 7 + 5 / 12 )
c) 7 / 13 - ( 4 / 7 - 6 / 13 )
d) 7 / 18 + 3 / 16 + 11 / 18 + 13 / 16
a) 17/23+(1-17/23)
=17/23+1-17/23
=1
b)17/12+9/7-(2/7+5/12)
=17/12+9/7-2/7-5/12
=1+1
=2
c)
7/13-(4/7-6/13)
=7/13-4/7+6/13
=1-4/7
=3/7
a,17/23 + (1 - 17/23)
= 17/23 + 6/23
= 23/23 = 1
b,17/12 + 9/7 - (2/7 + 5 /12)
= (17/12 - 5/12) + (9/7 + 2/7)
= 1+1 = 2
c, 7/13 - ( 4/7 -6/13 )
= 7/13 - 4/7+ 6/13
= (7/13 + 6/13) -4/7
= 13/13 -4/7
= 1 -4/7 = 3/7
hok tốt✍️ ✍️
tính bằng cách thuận tiện nhất :
a) 17 / 23 + ( 1 - 17 / 23 )
b) 17 / 12 + 9 / 7 - ( 2 / 7 + 5 / 12 )
c) 7 / 13 - ( 4 / 7 - 6 / 13 )
d) 7 / 18 + 3 / 16 + 11 / 18 + 13 / 16
tính bằng cách thuận tiện nhất :
a) 17 / 23 + ( 1 - 17 / 23 )
b) 17 / 12 + 9 / 7 - ( 2 / 7 + 5 / 12 )
c) 7 / 13 - ( 4 / 7 - 6 / 13 )
d) 7 / 18 + 3 / 16 + 11 / 18 + 13 / 16
a) 17/23 + (1 - 17/23)
= 17/23 + 1 - 17/23
= (17/23 - 17/23) + 1
= 0 + 1 = 1
b) 17/12 + 9/7 - (2/7 + 5/12)
= 17/12 + 9/7 - 2/7 - 5/12
= (17/12 - 5/12) + (9/7 - 2/7)
= 1 + 1 = 2
c) 7/13 - (4/7 - 6/13)
= 7/13 - 4/7 + 6/13
= (6/13 + 6/12) - 4/7
= 1 - 4/7 = 3/7
d) 7/18 + 3/16 + 11/18 + 13/16
= (7/18 + 11/18) + (3/16 + 13/16)
= 1 + 1 = 1
d) sửa 7/18 + 3/16 + 11/18 + 13/16
= (7/18 + 11/18) + (3/16 + 13/16)
= 1 + 1
= 2