tính : E=3^4+5^4+7^4+.......+19^4+21^4
Tính nhanh :
A. 1/21 + 2/21 + 3/21 + 4/21...+ 19/21 + 20/21
B. 3/7 + 4/19 + 7/11 + 15/11 + 15/19 + 4/7
A. Dãy số có số số hạng là
( 20/21 - 1/21) :1/21 + 1 = 20
Tổng dãy trên là
( 1/21 + 20/21) x 20 : 2 = 10
B. 3/7 + 4/19 + 7/11 + 15/11 + 15/19 + 4/7
= 4
E=1×2×3+2×3×4×3×4×5+...+18×19×20
G=2×4×6+4×6×8+6×8×10+...-18×20×22
H=1×3×5+3×5×7+5×7×9+17×19×21
\(E=1.2.3+2.3.4+3.4.5+...+18.19.20\)
\(4E=1.2.3.4+2.3.4.4+3.4.5.4+...+18.19.20.4\)
\(4E=1.2.3.4+2.3.4.\left(5-1\right)+3.4.5.\left(6-2\right)+...+18.19.20.\left(21-17\right)\)
\(4E=1.2.3.4+2.3.4.5-1.2.3.4+3.4.5.6-2.3.4.5+...+18.19.20.21-17.18.19.20\)
\(4E=18.19.20.21\)
\(4E=143640\)
\(E=\frac{143640}{4}\)
\(E=35910\)
Chúc bạn học tốt ~
\(G=2.4.6+4.6.8+6.8.10+...+18.20.22\) ( xem lại đề có nhầm dấu ko nha bn )
\(8G=2.4.6.8+4.6.8.8+6.8.10.8+...+18.20.22.8\)
\(8G=2.4.6.8+4.6.8.\left(10-2\right)+6.8.10.\left(12-4\right)+...+18.20.22\left(24-16\right)\)
\(8G=2.4.6.8+4.6.8.10-2.4.6.8+6.8.10.12-4.6.8.10+...+18.20.22.24-16.18.20.22\)
\(8G=18.20.22.24\)
\(8G=190080\)
\(G=\frac{190080}{8}\)
\(G=23760\)
Chúc bạn học tốt ~
\(H=1.3.5+3.5.7+5.7.9+...+17.19.21\)
\(8H=1.3.5.8+3.5.7.8+5.7.9.8+...+17.19.21.8\)
\(8H=1.3.5.8+3.5.7.\left(9-1\right)+5.7.9.\left(11-3\right)+...+17.19.21.\left(23-15\right)\)
\(8H=1.3.5.8+3.5.7.9-1.3.5.7+5.7.9.11-3.5.7.9+...+17.19.21.23-15.17.19.21\)
\(8H=1.3.5.8-1.3.5.7+17.19.21.23\)
\(8H=15+156009\)
\(8H=156024\)
\(H=\frac{156024}{8}\)
\(H=19503\)
Chúc bạn học tốt ~
Bài tập 6:Tính nhanh
A) 3/4 + 2/5 + 1/4 + 3/5 =....
B) 2/3 x 3/4 x 4/5 x 5/6 =...
C) 4/5 x 3/7 + 4/5 x 4/7 =...
D) 2/5 x 7/4 - 2/5 x 3/7 =...
E) 75/100 + 18/21 + 19/32 + 1/4 +3/21 + 13/32 =....
ai lam to tick cho
Tính
A. 19/21-1/3+3/7
B. 1+2/3-5/3
C. 7/12+1/3-3/4
D. 5/7-4/7*1/4
E. 7/12*4/3+2/9
Sao cx gặp bài phân số không -_-
\(a)\frac{19}{21}-\frac{1}{3}+\frac{3}{7}=\frac{19}{21}-(\frac{1}{3}+\frac{3}{7})=\frac{19}{21}-\frac{16}{21}=\frac{3}{21}\)
\(b)1+\frac{2}{3}-\frac{5}{3}=\frac{3}{3}+\frac{2}{3}-\frac{5}{3}=\frac{5}{3}-\frac{5}{3}=0\)
\(c)\frac{7}{12}+\frac{1}{3}-\frac{3}{4}=\frac{7}{12}+\frac{4}{12}-\frac{9}{12}=\frac{7+4-9}{12}=\frac{2}{12}=\frac{1}{6}\)
\(d)\frac{5}{7}-\frac{4}{7}\cdot\frac{1}{4}=\frac{5}{7}-\frac{1}{7}=\frac{4}{7}\)
\(e)\frac{7}{12}\cdot\frac{4}{3}+\frac{2}{9}=\frac{7}{9}+\frac{2}{9}=\frac{9}{9}=1\)
A. \(\frac{19}{21}-\frac{1}{3}+\frac{3}{7}=\frac{4}{7}+\frac{3}{7}=\frac{7}{7}=1\)
B. \(1+\frac{2}{3}-\frac{5}{3}=\frac{5}{3}-\frac{5}{3}=0\)
C. \(\frac{7}{12}+\frac{1}{3}-\frac{3}{4}=\frac{11}{12}-\frac{3}{4}=\frac{1}{6}\)
D. \(\frac{5}{7}-\frac{4}{7}\times\frac{1}{4}=\frac{5}{7}-\frac{1}{7}=\frac{4}{7}\)
E. \(\frac{7}{12}\times\frac{4}{3}+\frac{2}{9}=\frac{7}{9}+\frac{2}{9}=\frac{9}{9}=1\)
\(Linh\)\(Yukiko\)
Sửa lại câu a : \(\frac{19}{21}-\frac{1}{3}+\frac{3}{7}=\frac{19}{21}-\frac{7}{21}+\frac{9}{21}=\frac{19-7+9}{21}=\frac{21}{21}=1\)
C,1/1*2+1/2*3+1/3*4+1/4*5
D,2/1*3+2/3*5+2/3*7+......................2/19*21
E,1/1*4+1/4*7+ 1/7*10+.........................2/100*103
C = 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 + 1/4 - 1/5
C = 1/1 - 1/5
C = 4/5
Tính (Tính hợp lí nếu có thể):
a) 3 3/5 + 1 4/6
b) 1,2 * 53 + 53 * 17,2 - 53 * 8,4
c) 1 + 3 + 7 +...+ 93 + 97 + 99
d) 1/4 * 152/11 + 68/11 * 1/4
e) 37 * 38 - 19 * 74 + 1000
b) 1,2x53+53x17,2-53x8,4
= 8,4x(1,2+17,2+8,4)
=8,4x 10
= 84
d) 1/4x152/11+68/11x1/4
=1/4x( 152/11+68/11)
=1/4x 20
= 5
e) 37x38-19x74+1000
=37x2x19-19x74+1000
=74x19-19x74+1000
=0+1000
=1000
Quy đồng mẫu số các phân số:
a) 4/7 và 5/12 ; b) 3/8 và 19/24 ; c) 21/22 và 7/11 ;
d) 8/15 và 11/16 ; e) 4/25 và 72/100 ; g) 17/60 và 4/5
a: 4/7=48/84
5/12=35/84
b: 3/8=9/24
19/24=19/24
c: 21/22=21/22
7/11=14/22
d: 8/15=128/240
11/16=165/240
e: 4/25=16/100
72/100=72/100
f: 17/60=17/60
4/5=48/60
thực hiện phép tính
E = (12/35-6/ 7+18/14):6/-7-(-2/5)-1
G=(-5/7-7/9+9/11-11/13)(12/4-3/4)/ (10/21+14/27-6/11+22/39):(6/3-2/3)
d) \(\dfrac{-3 }{7 } + \dfrac{5 }{ 13 }+ \dfrac{-4 }{ 7}\)
\(e ) \dfrac{-5}{21}+ \dfrac{-2}{21}+\dfrac{-8}{24}\) \(\dfrac{-3 }{7 } + \dfrac{5 }{ 13 }+ \dfrac{-4 }{ 7}\)\( e)\dfrac{-5 }{ 21} + \dfrac{-2 }{21 } + \dfrac{-8 }{ 4}\)
f
d)
` (-3)/7 + 5/13 + (-4)/7 = -3/7 + (-4/7 ) + 5/13 = -1 + 5/13 = -8/13`
e2)
`-5/21 + (-2)/21 + (-8)/4 = -7/21 + -8/4 = -7/3`