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1+2+3+4+5+6+7+8+9+10=55
11+12+13+14+15+16+17+18+19+20=155
1+2+3+4+5+6+7+8+9+10+11+12+13+14 +15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30-50-53=362
1) \(373737.73-37.737373\)
\(=37.10101.73-37.73.10101\)
\(=0\)
2) \(19.41414141-41.19191919\)
\(=19.41.1010101-41.19.1010101\)
\(=0\)
3) \(123456.456789456789-456789.123456123456\)
\(=123456.456789.1000001-456789.123456.1000001\)
\(=0\)
4) \(250.12.7\)
\(=250.4.3.7\)
\(=\left(250.4\right).\left(3.7\right)\)
\(=1000.21\)
\(=21000\)
5) \(24.125.9\)
\(=3.8.125.9\)
\(=\left(3.9\right).\left(8.125\right)\)
\(=27.1000\)
\(=27000\)
6) \(125.44.18\)
\(=125.4.11.2.9\)
\(=\left(125.4.2\right).\left(11.9\right)\)
\(=1000.99\)
\(=99000\)
7) \(8.24.6+12.4.52+2.22.24\)
\(=48.24+48.52+48.22\)
\(=48\left(24+52+22\right)\)
\(=48.98\)
\(=48\left(100-2\right)\)
\(=48.100-48.2\)
\(=4800-96\)
\(=4704\)
8) \(18.58.2-9.27.4+12.69.3\)
\(=36.58-36.27+36.69\)
\(=36\left(58-27+69\right)\)
\(=36.100=3600\)
9) \(30.85.3+18.72.5-45.37.2-9.20.10\)
\(=90.85+90.72-90.37-90.20\)
\(=90\left(85+72-37-20\right)\)
\(=90.100=9000\)
a) Tính chất đặc trưng:
Các số chia cho 6 dư 1 nhỏ hơn 38
=> \(A=\left\{x\inℕ^∗|x=6k+1,k\inℕ^∗\right\}\)
b) Tính chất đặc trưng
2 = 1 x 2
6 = 2 x 3
12 = 3 x 4
20 = 4 x 5
30 = 5 x 6
=> \(B=\left\{x=n\left(n+1\right)|n\inℕ^∗,n\le5\right\}\)
\(1+2+3+4+5+6+7+8+9+10=55\)
\(11+12+13+14+15+16+17+18+19+20=155\)
a) 7/30+-12/37+23/30
=(7/30+23/30)+-12/37
=1+-12/37
=25/37
b)1/2+13/19-4/9+6/19+5/18
=1/2+(13/19+6/19)-4/9+5/18
=1/2+1-4/9+5/18
=9/18+1-8/18+5/18
=1+(9/18-8/18+5/18)
=1+1/3
=4/3
a: \(\frac{7}{30}+\frac{-12}{37}+\frac{23}{30}+\frac{-25}{37}\)
\(=\left(\frac{7}{30}+\frac{23}{30}\right)+\left(-\frac{12}{37}-\frac{25}{37}\right)\)
\(=\frac{30}{30}-\frac{37}{37}=1-1=0\)
b: \(\frac12+\frac{13}{19}-\frac49+\frac{6}{19}+\frac{5}{18}\)
\(=\left(\frac12-\frac49+\frac{5}{18}\right)+\left(\frac{13}{19}+\frac{6}{19}\right)\)
\(=\frac{9}{18}-\frac{8}{18}+\frac{5}{18}+1=\frac{6}{18}+1=\frac{24}{18}=\frac43\)