Suppose a sheet of 100 stamps is 0.62 millimeters thick. If a stack of sheets contains 10,000,000 stamps, how many millimeters thick is the stack? Write the answer in scientific notation.

Respuesta :

62,000 millimeters, because 10,000,000/ 100 is 100,000. 100,000 x .62 is 62,000.


You can set up a proportion for this. Let x be the thickness obtained by stacking 10 million stamps

100:0.62 : : 10,000,000 : x

Now set it up as a proportion so you can cross multiply.

100/0.62 = 10,000,000/x               Cross multiply

100x = 0.62 * 10,000,000              change 0.62 to a fraction

0.62 = 62 / 100                               Substitute 62/100 into the proportion  

100 x = 62/100 * 10,000,000         Divide by 100  

100 x = 62 * 100, 000                     Multiply by 61

100x = 6,200,000                           Divide by 100 on both sides

x = 6,200,000/100                          62,000 mm

x = 62,000 mm

x = 6.2 * 10^4 mm  answer


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