Write each of these numbers as the product of a whole number and a power of 10. Then describe the relationship between place value and exponents

Question

3,000

300

30

3

0.3

0.03

0.003

Answer 1

      3000  =   3x10^3

 

      300  =     3x10^2

 

 

          30    =    3x10^1

 

         3       =     3x 10^0       ZERO Power   =1

 

 

           0.3   =   3x 10^-1      Three times ten to the minus 1 power  (Decimal moves to the LEFT  1  position)

 

      0.03  =   3x 10 ^-2       Three times ten to the minus 2  power   (              Moves to the LEFT  2 positions)

 

     0.003  = 3 x 10 ^-3    Three times ten to the minus 3  power    (  Moves to the LEFT  three positions)

 

 

    Hope this helps!