Question

Which conversions from scientific notation to standard notation are true? Check all that apply.

Answer 1

2, 3, and 5 are correct conversions

Answer 2

Answer:

The correct conversion from scientific notation to standard notation are:

            b)   $8.05\times 10^5$

            e)   $7.09\times 10^{-6}$

Step-by-step explanation:

We know that when we have  a power of 10 as positive then the decimal is shifted to the right and if the power of 10 is negative then we shift the decimal to the left.

a)

         $1.71\times 10^3$

As the power of 10 is positive hence we shift the decimal to the right 3 places.

Hence, the conversion is:

         $1.71\times 10^3=1710$

b)

           $8.05\times 10^5$

Again the power of 10 is positive and hence we will shift the decimal 5 places to the right and the conversion is done as follows:

        $8.05\times 10^5=805000$

c)

       $2.4\times 10^4$

Since, the power of 10 is positive and hence we will shift the decimal 4 places to the right and we convert the number to standard notation as:

      $2.4\times 10^4=24000$

d)

           $8.25\times 10^{-3}$

Since, the power of 10 is negative and hence we will shift the decimal 3 places to the left and we convert the number to standard notation as:

        $8.25\times 10^{-3}=0.00825$

e)

             $7.09\times 10^{-6}$

Since, the power of 10 is negative and hence we will shift the decimal 8 places to the left.

Hence, we convert our number to standard notation:

$7.09\times 10^{-8}=0.00000709$