evaluate the expressions. and write your answer in scientific notation

Question

1.(4.2x10²) (4.2x10⁵⁾

2. (2.5x10²)

3. 9.6x10²/3.2x10⁵

Answer 1

To multiply

 

1) Multiply the base numbers normally.

2) Add the exponents of common bases.

 

   This means that (10^x)(10^y) = 10^{(x + y)}

 

To divide

 

1) Divide the base numbers normally.
2) Subtract the exponents of common bases.

 

     
   This means that (10^x) / (10^y) = 10^{(x - y)}

 

Scientific notation is a number between 1 and 10 that is multiplied by 10ⁿ, where n is the number of spaces the decimal is moved from it current position to make the number between 1 and 10. If the decimal is moved from the right, n is positive.  If moved from the left, n is negative.