202 + 98 + 98 + 202
= ?????????????????
98 + 202
202 + 96 + 2 + 98 + 1 + 1
= ?????????????
202 + 96 + 2 + 98 + 1 + 1
= 202 + (96 + 1 + 1 ) + ( 98 + 2 )
= 202 + 98 + 100
= 300 + 100
= 400
2*6*10+6*10*14+10*14*18+...+194*198*202/1*3*5+3*5*7+5*7*9+...+97*99*101
rút gọn
ta có
\(\frac{2.6.10+6.10.14+..+194.198.202}{1.3.5+3.5.7+..+97.99.101}=\frac{8.1.3.5+8.3.5.7+..+8.97.99.101}{1.3.5+3.5.7+..+97.99.101}\)
\(=\frac{8.\left(1.3.5+3.5.7+..+97.99.101\right)}{1.3.5+3.5.7+..+97.99.101}=8\)
Tính:
a)(-105)+(-84)
b)(-2015)+(-2016)
c)(-780)+(-98)+780+(-202)
d)(-3040)+1679
(Chi tiết ra nha)
1. Tìm x :
x^3 - 1/2 = (-3)/8
(2x - 1)^3 = -8
17 + "3^x" = 98 (3 mũ x nha)
(2x +3)^2 = 9/121
2. Tính
2.1/9 : (1/3)^2 + (201/202)^2018 .(202/201)^2018
giúp mình với ^^
1.
a) \(x^3-\frac{1}{2}=\left(-\frac{3}{8}\right)\)
\(\Rightarrow x^3=\left(-\frac{3}{8}\right)+\frac{1}{2}\)
\(\Rightarrow x^3=\frac{1}{8}\)
\(\Rightarrow x^3=\left(\frac{1}{2}\right)^3\)
\(\Rightarrow x=\frac{1}{2}\)
Vậy \(x=\frac{1}{2}.\)
b) \(\left(2x-1\right)^3=-8\)
\(\Rightarrow\left(2x-1\right)^3=\left(-2\right)^3\)
\(\Rightarrow2x-1=-2\)
\(\Rightarrow2x=\left(-2\right)+1\)
\(\Rightarrow2x=-1\)
\(\Rightarrow x=\left(-1\right):2\)
\(\Rightarrow x=-\frac{1}{2}\)
Vậy \(x=-\frac{1}{2}.\)
c) \(17+3^x=98\)
\(\Rightarrow3^x=98-17\)
\(\Rightarrow3^x=81\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
Vậy \(x=4.\)
Chúc bạn học tốt!
Tính nhanh :
a) 1272 + 146 . 127 + 732
b) 98 . 28 - (184 - 1)(184+1)
c) 1002 - 992 + 982 - 982 + ... + 22 - 12
d) (202 + 182 + 162 + ... + 42 + 22) - (192 + 172 + ... + 32 + 12)
a) \(=\left(127+73\right)^2=200^2=40000\)
b) \(=18^8-\left(18^8-1\right)=1\)
c) \(=\left(100+99\right)\left(100-99\right)+\left(98+97\right)\left(98-97\right)+...+\left(2+1\right)\left(2-1\right)\)
\(=100+99+98+97+...+2+1=5050\)
d) biến đổi thành \(20^2-19^2+18^2-17^2+..+2^2-1^2\)
rồi giải ra như trên
Tính nhanh : a) -1-2-3-4-5-.....-199-200-201-202 b) 1+2-3-4+5+6-7-8+9+10-11-12+13+98-99-100+101+102
Giai chi tiet giup minh nha !!! Minh tich cho !!
A = - ( 1+2+3 +....+ 202) = - 203. 101 = -20503
B= ( 1+2-3-4) + ( 5+6-7-8) +..........+( 97+98 -99-100) + ( 101+102)
= -4 + (-4) .........+ (-4) + 203
= -4 .25 + 203 = 103
1. Tính hợp lí nếu có thể :
a) 227+50+23 b)135+360+65+40 c)1+2+3+4+5...+97+98+99+100
d)115.13-13.15 e) 50-49+48-47+46-45...+4-3+2-1
f)30.40.50.60 g)27.36+27.64 h)5.22 - 18:3
i)13.17 - 256 : 16 +14:7-20210 j)72 -36:3
làm nhanh giúp mình vs chứ mình đang cần gấp
a) \(227+50+23=\left(227+23\right)+50=250+50=300\)
b) \(135+360+65+40=\left(135+65\right)+\left(360+40\right)=200+400=600\)
c) \(1+2+3+4+5+...+97+98+99+100\)
\(=\left(100+1\right)+\left(99+2\right)+...+\left(50+51\right)\)
\(=101+101+101+...+101\)
\(=101\cdot50\)
\(\Leftrightarrow5050\)
d) \(115\cdot13-13\cdot15=13\cdot\left(115-15\right)=13\cdot100=1300\)
e) \(50-49+48-47+...+4-3+2-1\)
\(=\left(50-49\right)+\left(48-47\right)+...+\left(2-1\right)\)
\(=1+1+1+1+..+1\)
\(=1\cdot25\)
\(=25\)
f) \(30\cdot40\cdot50\cdot60=10\cdot3+10\cdot4+10\cdot5+10\cdot6\)
\(=10\cdot10\cdot10\cdot10\cdot3\cdot4\cdot5\cdot6\)
\(=10000\cdot360\)
\(=3600000\)
g) \(27\cdot36+27\cdot64=27\cdot\left(36+64\right)=27\cdot100=2700\)
h) \(5\cdot2^2-18:3=5\cdot4-18:3=20-6=14\)
i) \(13\cdot17-256:16+14:7-2021^0\)
\(=13\cdot17-4^4:4^2+2-1\)
\(=13\cdot17-16+2-1\)
\(=13\cdot17-17\)
\(=17\cdot\left(13-1\right)\)
\(=204\)
j) \(7^2-36:3=49-12=37\)
bài 2 : s = 4 . 5 + 5.6 + 6.7+...+ 100.101
bài 3 : s= 1.2.3 + 2.3.4+ 3.4.5+...+ 98 . 99 .100
bài 4 : tính tổng sau: 1/5 + 1/25 + ... + 1/5 mu 100
Bài 1:
$A=1.2+2.3+3.4+...+201.202$
$3A=1.2.3+2.3(4-1)+3.4(5-2)+....+201.202(203-200)$
$=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+....+201.202.203-200.201.202$
$=(1.2.3+2.3.4+3.4.5+...+201.202.203)-(1.2.3+2.3.4+....+200.201.202)$
$=201.202.203$
$\Rightarrow A=\frac{201.202.203}{3}=2747402$
Bài 2:
$S=4.5+5.6+6.7+....+100.101$
$3S=4.5(6-3)+5.6.(7-4)+6.7.(8-5)+....+100.101(102-99)$
$=4.5.6-3.4.5+5.6.7-4.5.6+6.7.8-5.6.7+....+100.101.102-99.100.101$
$=(4.5.6+5.6.7+6.7.8+...+100.101.102)-(3.4.5+4.5.6+5.6.7+...+99.100.101)$
$=100.101.102-3.4.5$
$\Rightarrow S=\frac{100.101.102-3.4.5}{3}=343380$
Bài 3:
$S=1.2.3+2.3.4+3.4.5+...+98.99.100$
$4S=1.2.3(4-0)+2.3.4(5-1)+3.4.5(6-2)+...+98.99.100(101-97)$
$=(1.2.3.4+2.3.4.5+3.4.5.6+...+98.99.100.101)-(0.1.2.3+1.2.3.4+2.3.4.5+...+97.98.99.100)$
$=98.99.100.101$
$\Rightarrow S=\frac{98.99.100.101}{4}$