The number of book in a library is 6times 10^5 The number of books in the silver family's collection is 3times 10^2 How many times as many books are in the library as are in the silver family's collection? A. 200 B. 500 C. 2,000 D. 5,00 ( )

To find out how many times as many books are in the library as are in the Silver family's collection, we need to divide the number of books in the library by the number of books in the Silver family's collection.<br /><br />Given:<br />Number of books in the library = $6\times 10^{5}$<br />Number of books in the Silver family's collection = $3\times 10^{2}$<br /><br />To find the ratio, we divide the number of books in the library by the number of books in the Silver family's collection:<br /><br />$\frac{6\times 10^{5}}{3\times 10^{2}}$<br /><br />Simplifying the expression, we get:<br /><br />$\frac{6}{3} \times \frac{10^{5}}{10^{2}}$<br /><br />$\frac{6}{3} = 2$<br /><br />$\frac{10^{5}}{10^{2}} = 10^{5-2} = 10^{3}$<br /><br />Therefore, the number of times as many books are in the library as are in the Silver family's collection is:<br /><br />$2 \times 10^{3} = 2,000$<br /><br />So, the correct answer is C. 2,000.