Tính nhanh tổng 1+3+11+26+.....+1013
Tính nhanh:
a) 101 3 ; b) 47 3 + 9 . 47 2 + 27.47 + 27;
c) 299 3 ; d) 1008 3 – 3 . 1008 2 . 8 + 3 . 1008 . 8 2 – 2 6 .
a) ( 100 + 1 ) 3 = 100 3 + 3 . 100 2 + 3.100 + 1 = 1030301.
b) ( 47 + 3 ) 3 = 50 3 = 125000.
c) ( 300 – 1 ) 3 = 26730899.
d) ( 1008 – 23 ) 3 = 1000 3 = 10 9 .
tính nhanh tổng sau :
a, D=1/2+1/4+1/8+1/16+1/32+•••+1/512+1/1024
b, Đ=1/1*2+1/2*3+1/3*4+•••+1/18*19+1/19*20
c,E=1/11*16+1/16*21+1/21*26+•••1/56*26+1/61*-6
Ai nhanh thì mình tick
a) \(D=\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+...+\frac{1}{512}+\frac{1}{1024}\)
=> \(2D=1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+...++\frac{1}{256}+\frac{1}{512}\)
=> \(2D-D=\left(1+\frac{1}{2}+...+\frac{1}{512}\right)-\left(\frac{1}{2}+\frac{1}{4}+...+\frac{1}{1024}\right)\)
=> \(D=1-\frac{1}{1024}\)
b) \(Đ=\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{18.19}+\frac{1}{19.20}\)
\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}\)
\(=1-\frac{1}{20}=\frac{19}{20}\)
a) D=\(\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\dots+\frac{1}{512}+\frac{1}{1024}.\)
\(D=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{4}+\frac{1}{4}-\frac{1}{8}+\frac{1}{8}-\frac{1}{16}+\dots+\frac{1}{512}-\frac{1}{1024}\)
\(D=1-\frac{1}{1024}\)
\(D=\frac{1023}{1024}\)
\(Đ=\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\dots+\frac{1}{18\cdot19}+\frac{1}{19\cdot20}\)
\(Đ=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\dots+\frac{1}{18}-\frac{1}{19}+\frac{1}{19}-\frac{1}{20}\)
\(Đ=1-\frac{1}{20}\)
\(Đ=\frac{19}{20}\)
Phần c như kiểu sai đề chỗ cuối hay sao ấy.
B= 1/2 + 1/3 - 1/4 +...- 1/2022 + 1/2023 C= 1/1012 + 1/1013+...+ 1/2022 + 1/2023
Tính: B-C
mọi người sửa nhanh giúp mik vs ạ
Bài 1. Tính nhanh các tổng sau
a)
( -26) +13+ 10+ 26
b)
17+ 33+ ( -27)+ ( -33)
c)
( -12) +( -250)+ (-8) +250
d)
( -19)+ ( -11) +31 +( -1)
e)
(2019- 96)- 2019
a)( -26) +13+ 10+ 26
=(-26+26)+(13+10)
=0+23
=23
b)17+ 33+ ( -27)+ ( -33)
=[33+(-33)]+[17+(-27)]
=0+(-10)
=-10
c)( -12) +( -250)+ (-8) +250
=[-12+(-8)]+[-250+250]
=-20+0
=-20
d)( -19)+ ( -11) +31 +( -1)
=[-19+(-1)]+[-11+31]
=-20+20
=0
e)(2019- 96)- 2019
=2019-96-2019
=(2019-2019)-96
=0-96
=-96
Bài 1. Tính nhanh các tổng sau
a) (-26) +13 + 10+ 26
= [(-26) + 26] + (13 + 10)
= 0 + 23
= 23
b) 17 + 33 + (-27) + (-33)
= [17 + (-27)] + [33 + (-33)]
= -10 + 0
= -10
c) (-12) + (-250) + (-8) + 250
= [(-12) + (-8)] + [(-250) + 250]
= -20 + 0
= -20
d) (-19) + (-11) + 31 +(-1)
= [(-19) + (-11)] + [31 +(-1)]
= -30 + 30
= 0
e) (2019 - 96) - 2019
= 2019 - 96 - 2019
= (2019 - 2019) - 96
=0 - 96
#học tốt
&YOUTUBER&
a)(-26)+13+10+26
=[(-26)+26]+13+10
=0+13+10
=23
b)17+33+(-27)+(-33)
=[17+(-27)]+[33+(-33)]
=-10+0
=-10
c) (-12)+(-250)+(-8)+250
=(-12)+(-8)+[250+(-250)]
=(-12)+(-8)+0
=-20
d-19+11+31+-1
=(-19+-11)+(31+-1)
=-30+30
=0
e)(2019-96)-2019
=2019-96-2019
=2019-2019-96
=0-96
=-96
TÍnh nhanh:\(\dfrac{2011x1990-2011x999}{2012x999+1013}\)
\(\dfrac{2011\times1990-2011\times999}{2012\times999+1013}\)
\(=\dfrac{2011\times1990-2011}{2012+1013}=\dfrac{2011\times\left(1990-1\right)}{3025}\)
\(=\dfrac{2011\times1989}{3025}=\dfrac{3999879}{3025}=\dfrac{14545}{11}\)
1.TÍNH NHANH
A, (476-324) - (124+524)
B, -(127-2013)+(-1013-372)
a, (476-324)-(124+524)
= 476-324-124-524
=476-(324+124+524)
= -496
b, -(127-2013)+(-1013-372)
=-127+2013+(-1013)-372
=(-127-372)+[2013+(-1013)]
=-499+100
=501
tính các tổng
A= 1+4+7 +...+19+22
B= 2+5+8+...+11+14+17+20+23+26+29
C= ( 1+3+5 +... +2017 +2019 ) * ( 125125 *127 -127127 *125 )
nhanh mikk tick
mk đg cần gấp
a) A = 1+4+7+...+19+22
Số số hạng là: ( 22-1) : 3 + 1= 8 ( số)
Tổng số hạng là: ( 22+1) x 8 : 2 = 92
=> A = 1+4+7...+19+22= 92
b) B = 2+5+8+...+ 26+29
Số số hạng là: (29-2) : 3 + 1= 10 ( số)
Tổng các số hạng là: ( 29 +2) x 10 : 2 = 155
=> B = 2+5+8+...+ 26+29 = 155
c) C = ( 1+3+5+...+2017+2019) * ( 125125 *127 - 127127 *125)
=C = (1+3+5+...+2017+ 2019) * ( 125125 *127 -127127 *125)
C = (1+3+5+...+2017+2019) * ( 125 * 1001 *127 - 127* 1001 *125)
C = ( 1+3+5+...+2017+2019)* 0
C = 0
1 )A = 1 + 4 + 7 + ... + 19 + 22 ( có 8 số )
A = \(\frac{\left(22+1\right)\times8}{2}\)
A = 92
2 )B = 2 + 5 + 8 + ... + 23 + 26 + 29 ( có 10 số )
B = \(\frac{\left(29+2\right)\times10}{2}\)
B =155
A= 1 + 4 + 7 +...+ 19 + 22
= [ ( 22 - 1 ) : 3 + 1 ] x ( 1 + 22 ) : 2
= [ 21 : 3 + 1 ] x 23 : 2
= [ 7 + 1 ] x 23 : 2
= 8 x 23 : 2
= 4 x 23 = 92
B = 2 + 5 + 8 + ... + 26 + 29
= [(29 - 2 ) : 3 + 1] x ( 2 + 29 ) : 2
= [27 : 3 + 1] x 31 : 2
= [9 + 1] x 31 : 2
= 10 x 31 : 2 = 310 : 2 = 155
C = ( 1 + 3 + 5 + ... + 2017 + 2019 ) x ( 125125 x 127 - 127127 x 125 )
= ( 1 + 3 + 5 + ... + 2017 + 2019 ) x ( 125 x 1001 x 27 - 127 x 1001 x 125 )
= ( 1 + 3 + 5 + ... + 2017 + 2019 ) x 0 = 0
Tính nhanh
2013x(1013-13)+100x(253+47)
2013 x ( 1013 - 13 ) + 100 x ( 253 + 47 )
= 2013 x 1000 + 100 x 300
= 2 013 000 + 3 000
= 2 016 000
2013 x ( 1013 - 13 ) + 100 x ( 253 + 47 )
2013 x 1000 + 100 x 300
2013000 + 300000
2313000
= 2013 x 1000 + 100 x300
= 2013 x 1000 + 1000 x 3000
= (2013 + 3000 ) x 1000
= 4013000