The 'k' stands for thousands. This would usually indicate an annual salary amount. For instance, in a country using a currency denominated in dollars a '10K salary' would be $10,000 per year (or per annum).
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I think it refers to kilometers, there are 10 kilometers (6.2) miles to be run in a 10k race. or it refers to 10,000 (k=1,000)
Lesbian-Gay-Bisexual 10 Karats
I think it means 10k gold
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If the dividend is between 2.25*10k and 10k+1 where k is any integer, then the decimal point does not move while if the dividend is between 10k and 2.25*10k then the decimal point moves 1 place to the left.