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\(\dfrac{1}{10}+\dfrac{2}{10}+\dfrac{3}{10}+\dfrac{4}{10}+\dfrac{5}{10}+\dfrac{6}{10}+\dfrac{7}{10}+\dfrac{8}{10}+\dfrac{9}{10}=\dfrac{1}{10}.\left(1+2+3+4+5+6+7+8+9\right)\\ =\dfrac{1}{10}.45=\dfrac{45}{10}=\dfrac{45:5}{10:5}=\dfrac{9}{2}\)
`a)1/10 + 2/10 + 3/10 + 4/10 + 5/10 + 6/10 + 7/10 + 8/10 + 9/10`
`=(1/10+9/10)+(2/10+8/10)+(3/10+7/10)+(4/10+6/10)+5/10`
`=10/10 + 10/10+10/10+10/10+1/2`
`=1+1+1+1+1/2`
`=2+2+1/2`
`=4+1/2`
`=8/2+1/2`
`=9/2`
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`13,25:0,5+13,25:0,25+13,25:0,125+13,25×6`
`=13,25×1/(0,5)+13,25×1/(0,25)+13,25×1/(0,125)+13,25×6`
`=13,25×(1/(0,5)+1/(0,25)+1/(0,125)+6)`
`=13,25×(2+4+8+6)`
`=13,25×20`
`=265`
`#QiN`
2\(\dfrac{1}{10}\) = 2 + \(\dfrac{1}{10}\) = 2 + 0,1 = 2,1
3\(\dfrac{3}{100}\) = 3 + \(\dfrac{3}{100}\) = 3 + 0,03 = 3,03
6\(\dfrac{7}{10}\) = 6 + \(\dfrac{7}{10}\) = 6 + 0,7 = 6,7
8\(\dfrac{3}{10}\) = 8 + \(\dfrac{3}{10}\) = 8 + 0,3 = 8,3
17\(\dfrac{9}{10}\) = 17 + \(\dfrac{9}{10}\) = 17 + 0,9 = 17,9
12\(\dfrac{7}{10}\) = 12 + \(\dfrac{7}{10}\) = 12 + 0,7 = 12,7
\(\dfrac{1}{10}+\dfrac{2}{10}+\dfrac{3}{10}+\dfrac{4}{10}+\dfrac{5}{10}+\) \(\dfrac{6}{10}+\dfrac{7}{10}+\dfrac{8}{10}+\dfrac{9}{10}\)
\(=\dfrac{1+2+3+4+5+6+7+8+9}{10}\)
\(=\dfrac{45}{10}=\dfrac{9}{2}\)
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9/10 = 44/10 = 22/5