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0,006dam2 = 60 dm2.
0,07m2 = 700 cm2.
0,67m2 = 67 dm2.
1m2 = 0,01 dam2.
1m2 = 0,000001 km2.
1 tấn 20g = 1000,02 kg.
0,006dam2= 60 dm2
0,07m2 = 700 cm2
0,67m2 = 67 dm2
1m2 = 0,01 dam2
1m2 = 0,000001 km2.
1 tấn 20g = 1000,02 kg
a: Ta có: \(A=2+2^2+2^3+\cdots+2^{2025}\)
=>\(2A=2^2+2^3+2^4+\cdots+2^{2026}\)
=>\(2A-A=2^2+2^3+2^4+\cdots+2^{2026}-2-2^2-\cdots-2^{2025}\)
=>\(A=2^{2026}-2\)
b:Sửa đề: \(B=1+5+5^2+\cdots+5^{150}\)
=>\(5B=5+5^2+5^3+\cdots+5^{151}\)
=>\(5B-B=5+5^2+5^3+\cdots+5^{151}-1-5-5^2-\cdots-5^{150}\)
=>\(4B=5^{151}-1\)
=>\(B=\frac{5^{151}-1}{4}\)
c: Ta có: \(C=3+3^2+3^3+\ldots+3^{1000}\)
=>\(3C=3^2+3^3+3^4+\cdots+3^{1001}\)
=>\(3C-C=3^2+3^3+\cdots+3^{1001}-3-3^2-\cdots-3^{1000}\)
=>\(2C=3^{1001}-3\)
=>\(C=\frac{3^{1001}-3}{2}\)
a: \(3636:\left(12\cdot x-91\right)=36\)
=>\(12x-91=\frac{3636}{36}=101\)
=>12x=91+101=192
=>\(x=\frac{192}{12}=16\)
b: \(446+2\cdot\left(125-x\right)=546\)
=>\(2\left(125-x\right)=546-446=100\)
=>125-x=50
=>x=125-50=75
c: \(\left(x-36\right):18=10+2\)
=>\(\left(x-36\right):18=12\)
=>\(x-36=18\cdot12=216\)
=>x=216+36=252
BÀI 1:
\(N=\frac{2}{2.5}+\frac{2}{5.8}+...+\frac{2}{17.20}\)
\(N=2.\left(\frac{1}{2.5}+\frac{1}{5.8}+...+\frac{1}{17.20}\right)\)
\(N=2.\left(\frac{1}{2}-\frac{1}{5}+\frac{1}{5}-\frac{1}{8}+...+\frac{1}{17}-\frac{1}{20}\right)\)
\(N=2.\left(\frac{1}{2}-\frac{1}{20}\right)\)
\(N=2.\frac{9}{20}\)
\(N=\frac{9}{10}\)
BÀI 2:
\(C=1.2+2.3+3.4+...+99.100\)
\(\Rightarrow3B=1.2.3+2.3.3+3.4.3+...+99.100.3\)
\(3B=1.2\left(3-0\right)+2.3.\left(4-1\right)+3.4.\left(5-2\right)+...+99.100.\left(101-98\right)\)
\(3B=1.2.3+2.3.4-1.2.3+3.4.5-2.3.4+...+99.100.101-98.99.100\)
\(3B=\left(1.2.3+2.3.4+3.4.5+...+99.100.101\right)-\left(1.2.3+2.3.4+...+98.99.100\right)\)
\(3B=99.100.101\)
\(3B=999900\)
\(\Rightarrow B=999900:3\)
\(B=333300\)
CHÚC BN HỌC TỐT!!!!
1+2+3+...+x = (1 + x) * x / 2 = 666
(1 + x) * x = 666 * 2 = 1332
1332 / x - 1 = x <=> x * (x + 1) = 1332
=> x = 36
\(\left(x+2\right)^2=3\)
=>\(\left[\begin{array}{l}x+2=\sqrt3\\ x+2=-\sqrt3\end{array}\right.\Rightarrow\left[\begin{array}{l}x=\sqrt3-2\\ x=-\sqrt3-2\end{array}\right.\)
65444+6767879887654
=23222122
bạn ơi , bạn để đúng lớp nhé !
65444+6767879887654=6.767.879.953.098
2 + 23222122 - 2
= (2 - 2) +23222122
= 0 + 23222122
= 23222122