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0,9 x 95 + 1,8 x 2 + 9 x 0,1
= 0,9 x 95 + 0,9 x 2 x 2 + 9 : 10
= 0,9 x 95 + 0,9 x 4 + 0,9 x 1
= 0,9 x (95 + 4 + 1)
= 0,9 x 100
= 90
0,9 x 95 + 1,8 x 2 + 9 x 0,1
= 0,9 x 95 + 0,9 x 2 x 2 + 9 : 10
= 0,9 x 95 + 0,9 x 4 + 0,9 x 1
= 0,9 x (95 + 4 + 1)
= 0,9 x 100
= 90
a: \(=20.07\left(31.06+68.94\right)+3.106=2007+3.106=2010.106\)
b: \(=4.7\left(5.5-4.5\right)=4.7\)
c: \(=23.5\left(4.6+5.4\right)=235\)
d: \(=0.9\left(95+4+1\right)=0.9\cdot100=90\)
a)
Vì 2/9=6/27=8/36=12/54=16/72=18/81 nên:
2/9+6/27+8/36+12/54+16/72+18/81=
2/9+2/9+2/9+2/9+2/9+2/9=
2/9*6=
12/9=
4/3
Vậy 2/9+6/27+8/36+12/54+16/72+18/81=4/3
b)
Ta có:
1-2/5=3/5
1-2/7=5/7
1-2/9=7/9
...
1-2/99=97/99
Vậy (1-2/5)*(1-2/7)*(1-2/9)*...*(1-2/99)=
3/5*5/7*7/9*...*97/99=
(3*5*7*...*97)/(5*7*9*...*99)=
3/99=
1/33
Vậy (1-2/5)*(1-2/7)*(1-2/9)*...*(1-2/99)=1/33
c)
Gọi biểu thức 1/2+1/4+1/8+1/16+...+1/1024 là S,ta có:
S=1/2+1/4+1/8+1/16+...+1/1024
S*2=1+1/2+1/4+1/8+...+1/512
S*2-S=(1+1/2+1/4+1/8+...+1/512)-(1/2+1/4+1/8+1/16+...+1/1024)
S=1-1/1024
S=1023/1024
Vậy 1/2+1/4+1/8+1/16+...+1/1024=1023/1024
a)1/2 + 5/6 + 11/12 + 19/20 + 29/30 + 41/42 + 55/56 + 71/72+89/90
=1-1/2+1-1/6+1-1/12+1-1/20+1-1/30+1-1/42+1-1/56+1-1/72+1-1/90
=9 – (1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
=9 – [1/(1x2)+1/(2x3)+1/(3x4)+1/(4x5)+1/(5x6)+1/(6x7)+1/(7x8)+1/(8x9)+1/(9x10)]
=9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10)
=9 – (1 – 1/10) = 9 – 9/10 = 81/10
b)4/3.7 + 4/7.11 + 4/11.15 + 4/15.19 + 4/19.23 + 4/23.27
=4.(4/3.7 + 4/7.11 + ........+ 4/23.27 )
=1.( 1/3.7 + 1/7.11 + ......+ 1/23.27 )
=1.(1/3 - 1/7 + 1/7 - 1/11 +............ + 1/23 - 1/27 )
=1.(1/3 - 1/27 )
=1.(9/27 - 1/27)
=1.8/27
=8/27
c)1/10+1/40+1/88+1/154+1/138+1/340
=1/2.5 + 1/5.8 + 1/11.8 + 1/11.14 + 1/14.17 + 1/17.20
=1/3. (3/2.5 + 3/5.8 + 3/8.11 + 3/11.14 + 3/14.17 + 3/17.20 )
=1/3. ( 1/2 - 1/5 + 1/5 - 1/8 + 1/8 - 1/11 + 1/11 - 1/14 + 1/14 - 1/17 + 1/17 -1/20 )
=1/3. ( 1/2 - 1/20 )
=1/3. 9/20
=3/20
P/S: CHÚC HOK TỐT !
a, 2x3x4x8x25x125= (2x3)x(4x25)x(8x125)= 6x100x1000=600000
b,42/5 +56/9+23/4+3/5+1/3+1/4= (42/5+3/5)+(23/4+1/4)+(56/9+1/3)=9+6+59/9=
a) 5,6 x 4 + 5,6 x 2 + 5,6
= 5,6 x ( 4 + 3 + 2 + 1 )
= 5,6 x 10
= 56
b) 7,89 x 5 - 7,89 x 52 - 7,89
= 7,89 x ( 5 - 52 - 1 )
= 7,89 x ( - 48 )
= - 378,72
a) \(1010+1111+1212+.....+9898+9999\)\(=\frac{\left(1010+9999\right)\cdot\left(\frac{9999-1010}{1111-1010}+1\right)}{2}\)\(=\frac{11009\cdot\left(\frac{8989}{101}+1\right)}{2}\)\(=\frac{11009\cdot\left(89+1\right)}{2}\)\(=\frac{11009\cdot90}{2}\)\(=\frac{990810}{2}\)\(=495405\)
a) Khoảng cách của dãy số là:
1111-1010=101;1212-1111=101;...
Số số hạng của dãy số là:
(9999-1010):101+1=90(số)
Tổng:
(1010+9999)*90:2=495405
Đ/s:495405
Nhớ k mk nha!
a) \(2,4\times0,25+5,6:4+2\times\dfrac{1}{4}\)
\(=2,4\times0,25+5,6\times0,25+2\times0,25\)
\(=0,25\times\left(2,4+5,6+2\right)\)
\(=0,25\times10\)
\(=2,5\)
b) \(0,9\times95+1,8\times2+0,45:\dfrac{1}{2}\)
\(=0,9\times95+1,8\times2+0,45\times2\)
\(=0,9\times95+0,9\times2\times2+0,9\)
\(=0,9\times95+0,9\times4+0,9\)
\(=0,9\times\left(95+4+1\right)\)
\(=0,9\times100\)
= 90