A= 4*5+5*6+6*7+....50*51
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1/ 1 + (-2) + 3 + (-4) + . . . + 19 + (-20)
=1-2+3-4+...+19-20
=(1-2)+(3-4)+...+(19-20)
=(-1)+(-1)+...+(-1)
=(-1).10
=-10
2/ 1 – 2 + 3 – 4 + . . . + 99 – 100
=(1-2)+(3-4)+...+(99-100)
=(-1)+(-1)+...+(-1)
=(-1).50
=-50
3/ 2 – 4 + 6 – 8 + . . . + 48 – 50
=(2-4)+(6-8)+...+(48-50)
=(-2)+(-2)+...+(-2)
=(-2).13
=-26
4/ – 1 + 3 – 5 + 7 - . . . . + 97 – 99
=(-1)+(3-5)+(7-9)+...+(97-99)
=(-1)+(-2)+(-2)+...+(-2)
=(-1)+(-2).45
=(-1)+(-90)
=(-91)
5/ 1 + 2 – 3 – 4 + . . . . + 97 + 98 – 99 - 100
=(1+2-3-4)+...+(97 + 98 – 99 - 100)
=(-4)+...+(-4)
=(-4).25
=-100
\(HT\)
1/ \(1+(-2)+3+(-4)+...+19+(-20)\)
\(=(-1+3+5+...+19)-(2+4+6+...+20)\)
\(=(19-1):2+1=10\)
\(=(1+19).10:2-(20+2).10:2\)
\(=100-110\)
\(=-10\)
2/ \(1 – 2 + 3 – 4 + . . . + 99 – 100\)
\(= ( 1 - 2 ) + ( 3 - 4) + .... + ( 99 - 100 )\)
\(= -1 + ( -1) + ....+ ( -1)\)
\(=(-1).50\)
\(=-50\)
3/ \( 2 – 4 + 6 – 8 + . . . + 48 – 50\)
\(= 2 +( – 4 + 6)+( – 8+10) + . . . +( -44+46)+ ( 48 – 50)\)
\(= 2+2+2+...+2+( -2) \)
\(= 2.12 +( -2 ) \)
\(=22\)
4/ \(-1+3-5+7-...+97-99\)
\(= ( -1 + 3 ) + ( -5 + 7 )+....+( -93 +95 ) + ( 97 - 99 )\)
\(= -2+( -2)+...+( -2)+2\)
\(= -2.24+2\)
\(=-46\)
5/ \( 1+2-3-4+...+97+98-99-100\)
\(= ( 1+2-3-4)+...+( 97+98-99-100)\)
\(= -4+...+( -4)\)
\(=(-4).25\)
\(=-100\)
A) 3/4 + 1/5 = 15/20 + 4/20= 19/20
B) 1/36 + 5/12 = 12/432 + 180/432=192/864
C) 3/4 + 1/6 = 18/24 + 4/24 = 22/24
D) 1/8 + 7/10 = 10/80 + 56/80=66/160
E) 1/8 + 5/6= 6/48 + 40/48= 46/48
G) 2/3 + 2/7 = 14/21+6/24= 20/24
K nha
a)\(x+\dfrac{2}{3}x\dfrac{5}{6}=7\)
\(x+\dfrac{10}{18}=7\)
\(x=7-\dfrac{10}{18}\)
\(x=\dfrac{58}{9}\)
b)\(9-xx\dfrac{1}{2}=\dfrac{3}{4}\)
\(xx\dfrac{1}{2}=9-\dfrac{3}{4}\)
\(xx\dfrac{1}{2}=\dfrac{33}{4}\)
\(x=\dfrac{33}{4}:\dfrac{1}{2}\)
\(x=\dfrac{33}{2}\)
c)\(18-x:\dfrac{2}{3}=\dfrac{4}{5}-\dfrac{1}{10}\)
\(18-x:\dfrac{2}{3}=\dfrac{7}{10}\)
\(x:\dfrac{2}{3}=18-\dfrac{7}{10}\)
\(x:\dfrac{2}{3}=\dfrac{173}{10}\)
\(x=\dfrac{173}{10}x\dfrac{2}{3}\)
\(x=\dfrac{173}{15}\)
a) (-2) . ( x+7 ) + (-5) = 7
<=>(-2).(x+7)=7+5
<=>x+7=12:(-2)
<=>x+7=-6
<=>x=(-6)-7
<=>x=-13
Vậy x=-13
b)(x+4) : (-7) = 14
<=>x+4=14 x (-7)
<=>x+4=-98
<=>x=-98-4
<=>x=-102
Vậy x= -102
c) 72 : ( x+5) - 4 = -12
<=>72:(x+5)=(-12)+4
<=>x+5=72:(-8)
<=>x+5=-9
<=>x=-9-5
<=>x=-14
Vậy x= -14
d) (x+3) : (-6 ) + 12 = 8
<=>(x+3) :(-6)=8-12
<=>x+3=(-4)x(-6)
<=>x+3=24
<=>x=24-3
<=>x=21
Vậy x= 21
47. (23 + 50)- 23. ( 47+50 )
= 47. 23+ 47. 50- 23. 47 - 23. 50
=47. 50 - 23. 50
= 50 .( 47 -23)
=50. 24 = 1200
A) 1/4 + 5/6=6/24+20/24=26/24
B) 2/9 + 1/9 = 3/9
C)1/6 + 3/8 = 8/48 + 18/48 = 26/48
(d) 3/10 + 5/8= 14/80 + 50/80= 64/160
(E) 7/12 + 1/8 = 56/96+12/96=68/192
(G) 3/20 + 7/2=6/24+20/24=26/24
K nha
A = 4.5 + 5.6 + 6.7 + .... + 50.51
3A = 4.5.3 + 5.6.3 + 3.6.7 + ... + 50.51.3
3A = 4.5.(6 - 3) + 5.6.(7 - 4) + ... + 50.51.(52 - 49)
3A = 4.5.6 - 3.4.5 + 5.6.7 - 4.5.6 + ... + 50.51.52 - 49.50.51
3A = 50.51.52 - 3.4.5
3A = 132540
A = 44180
Vậy A = 44180
Chúc bn học tốt!