Tính tổng:
P = 2 x 4 + 4 x 6 + 6 x 8 +...+ 98 x 100
Tính nhanh
( 1,25 x 6 – 7,5) x ( 2 + 4 + 6 + 8 + 10 +………+ 98 + 100)
Một ô tô cứ chạy 50km thì dùng hết 4 lít xăng. Hỏi nếu ô tô đó chạy quãng đường 250km thì dùng hết bao nhiêu lít xăng? *
1,Tính nhanh.
a,A = 2 x 4 + 4 x 6 + 6 x 8 + ... + 98 x 100
các bạn giúp mình nha
\(A=2\times4+4\times6+...+98\times100\)
\(A=2.2+2.12+...+2.149\)
\(A=2.\left(2+12+...+149\right)\)
Tự làm nốt( dấu x = dấu chấm )
a,A = 2 x 4 + 4 x 6 + 6 x 8 +...+ 98 x 100
6 x A = 2 x 4 x 6 + 4 x 6 x 6 + 6 x 8 x 6 +...+ 98 x 100 x 6
6 x A = 2 x 4 x 6 + 4 x 6 x (8 - 2) + 6 x 8 x (10 - 98) + 98 x 100 x (102 - 96)
6 x A = 2 x 4 x 6 + 4 x 6 x 8 - 4 x 6 x 2 + 6 x 8 x 10 - 6 x 8 x 2 +...+ 98 x 100 x 102 - 98 x 100 x 96
6 x A = 2 x 4 x 6 + 4 x 6 x 2 + 98 x 100 x 102
6 x A = 48 + 48 + 999 600
6 x A = 999 696
A = 999 696 : 3
A = 333 232
Tính nhanh
a) 27 x 45 + 55 x 27/ 2 + 4 + 6 + 8 + ... + 16 + 18
b) 3737 x 43 - 4343 x 37/ 2 + 4 + 6 + 8 + ... + 98 + 100
a) \(\frac{27.45+55.27}{2+4+6+8+...+16+18}=\frac{27.\left(45+55\right)}{\left(2+18\right)+\left(16+4\right)+\left(14+6\right)+\left(12+8\right)}\)
\(=\frac{27.100}{20+20+20+20}=\frac{2700}{20.4}=\frac{2700}{80}=\frac{135}{4}\)
b) Lười
Làm giống câu a nhé
Tính nhanh
( 11 x 8 - 100 + 12) : ( 4 x 5 x 6 x 7 x 8 x 9 x 10)
(132 x 6 - 66 x 12) x (132 x 6 + 66)
100 - 99 + 98 - 97 + 96 - 95 + ...+ 4 - 3 + 2
100 - 99 + 98 - 97 + 96 - 95 + ... + 4 - 3 + 2
= ( 100 - 99 ) + (98 - 97) + ..... + ( 4- 3 ) + 2
= 1 + 1 + .......+ 1 + 2
Có số lượng số hạng là : 100 - 3 +1 = 98
Có số cặp là : 98 : 2 = 49
Vậy số cần tìm là (49 x 1)+ 2 = 51
con đầu bạn chép sai đề nha
( 132 x 6 - 66 x 12 ) x ( 132 x 6 + 66 )
= ( 66 x 2 x 6 - 66 x 12 ) x ( 132 x 6 + 66 )
= ( 66 x 12 - 66 x 12 ) x ( 132 x 6 + 66 )
= 0 x 132 x 6 + 6
= 0 + 6 = 6
A= 1/2 x 4 + 1/4 x 6 + 1/6 x 8 +1/8 x 10 + ... +1/98 x 100
2A=2/2x4+2/4x6+..+2/98x100
=> 2A=1-1/4+1/4-1/6+..+1/98-1/100
=> 2A=1-1/100
=> 2A=99/100
=> A=99/100:2
=> A=99/200
1. x - 8 +32= 68
2. x +8+32=68
3. 98-x +34=43
4. 98+x-34=43
5. x :5:4=800
6. 18+x=384:8
7. (84,6-2 x x):3,02= 5,1
8. x x5= 120:6
9. (15x 24-x) :0,25= 100:0,25
1. \(x-8+32=68\)
\(x-8=68-32\)
\(x-8=36\)
\(x=36+8\)
\(x=44\)
_____
2. \(x+8+32=68\)
\(x+8=68-32\)
\(x+8=36\)
\(x=36-8\)
\(x=28\)
_____
3. \(98-x+34=43\)
\(98-x=43-34\)
\(98-x=9\)
\(x=98-9\)
\(x=89\)
_____
4. \(98+x-34=43\)
\(98+x=43+34\)
\(98+x=77\)
\(x=77-98\)
\(x=-21\)
_____
5. \(x:5:4=800\)
\(x:5=800.4\)
\(x:5=3200\)
\(x=3200.5\)
\(x=16000\)
_____
6. \(18+x=384:8\)
\(18+x=48\)
\(x=48-18\)
\(x=30\)
_____
7. \(\left(84,6-2\times x\right):3,02=5,1\)
\(84,6-2.x=5,1.3,02\)
\(84,6-2.x=15,402\)
\(2.x=84,6-15,402\)
\(2.x=69,198\)
\(x=69,198:2\)
\(x=34,599\)
_____
8. \(x\times5=120:6\)
\(x.5=20\)
\(x=20:5\)
\(x=4\)
_____
9. \(\left(15\times24-x\right):0,25=100:0,25\)
\(\left(15.24-x\right):0,25=400\)
\(15.24-x=400.0,25\)
\(15.24-x=100\)
\(360-x=100\)
\(x=360-100\)
\(x=260\)
1,x-8+32=68
=>x-8=68-32=36
=>x=36+8=42
2,x+8+32=68
=>x+8=68-32=36
=>x=36-8=28
3,98-x+34=43
=>98-x=43-34=9
=>x=98-9=89
4,98+x-34=43
=>98+x=43+34=77
=>x=77-98=-21
5,x:5:4=800
=>x:20=800
=>x=800x20=16000
6,18+x=384:8=48
=>x=48-18=30
7,(84,6-2x):3,02=5,1
=>84,6-2x=5,1x3,02=15,402
=>2x=84,6-15,402=69,198
=>x=69,198:2=34,599
8,5x=120:6=20
=>x=20:5=4
9,(15x24-x):0,25=100:0,25=400
=>360-x=400x0,25=100
=>x=360-100=260.
1. \(...\Rightarrow x+24=68\Rightarrow x=68-24=44\)
2. \(...\Rightarrow x+40=68\Rightarrow x=68-40=28\)
3. \(...\Rightarrow3^{2\left(8+x\right)}=9=3^2\Rightarrow2\left(8+x\right)=2\Rightarrow8+x=1\Rightarrow x=-7\)
4. \(...\Rightarrow3^{2\left(8+x\right)}=77\) (bạn xem lại đề)
5. \(...\Rightarrow x:5=800.4\Rightarrow x:5=3200\Rightarrow x=3200.5=16000\)
6. \(...\Rightarrow18+x=48\Rightarrow x=48-18=30\)
7. \(...\Rightarrow84,6-2x=5,1.3,02=15,402\Rightarrow2x=84,6-15,402\Rightarrow2x=69,198\Rightarrow x=34,599\)
8. \(...\Rightarrow5.x=20\Rightarrow x=20:5=4\)
9. \(\left(360-x\right):0,25=400\Rightarrow360-x=400.0,25=100\Rightarrow x=400-100=300\)
x + ( x + 2 ) + ( x + 4 ) + ( x + 6 ) + ( x + 8 ) +...........+ ( x + 98 ) + ( x + 100 ) = 2601
x + ( x + 2 ) + ( x + 4 ) + ( x + 6 ) + ( x + 8 ) +...........+ ( x + 98 ) + ( x + 100 ) = 2601
= (51x)[\(\left(100+2\right)x\left(\frac{100-2}{2}+1\right):2\)] =2601
đến đây e tự giải nốt nhé!
<=> 51x + (2+4+6+8+...+100)=2601
<=> 51x + 2550 = 2601
<=> 51x = 51
<=> x = 1
Vậy .......
Ta có : x + ( x + 2 ) + ( x + 4 ) + ( x + 6 ) + ... + ( x + 98 ) + ( x + 100 ) = 2601
<=> ( x + x + x + ... + x ) + ( 0 + 2 + 4 + 6 + ... + 98 + 100 ) =2601
<=> 51.x + 2550 = 2601
<=> 51.x = 2601 - 2550
<=> 51.x = 51
<=> x = 1
Vậy x = 1
Tính tổng : 1 x 2 + 2 x 4 + 4 x 6 + .........+ 98 x 100
Tính tổng : 1 x 2 + 2 x 4 + 4 x 6 + .........+ 98 x 100
Gọi biểu thức trên là A, ta có :
A = 1x2 + 2x3 + 3x4 + 4x5 + ...+ 99x100
A x 3 = 1x2x3 + 2x3x3 + 3x4x3 + 4x5x3 + ... + 99x100x3
A x 3 = 1x2x3 + 2x3x(4-1) + 3x4x(5-2) + 4x5x(6-3) + ... + 99x100x(101-98)
A x 3 = 1x2x3 + 2x3x4 - 1x2x3 + 3x4x5 - 2x3x4 + 4x5x6 - 3x4x5 + ... + 99x100x101 - 98x99x100.
A x 3 = 99x100x101
A = 99x100x101 : 3
A = 333300
T = 2 .4 + 4 .6 + 6 .8 + ... + 98 x 100 + 100 . 102
Tinh T