simplify & enter your answer in scientifc notation

Question

240,000,000*0.000024/0.005

Answer 1

240,000,000*0.000024/0.005

 

240,000,000 = 2.4(10^8)

 

0.000024 = 2.4(10^(-5))

 

1/0.005 = 1/(0.5(10^(-2))) = 10^2/(1/2) = 2(10^2)

 

240,000,000*0.000024/0.005 =

 

2.4(10^8)(2.4)(10^(-5))(2)(10^2) =

 

2((2.4)^2)(10^(8-5+2)) =

 

2((2.4)^2)(10^(5))

 

  2.4

  2.4

 –––

  .96

4.80

––––

5.76(2) = 11.52

 

2((2.4)^2)(10^(5)) =

 

11.52(10^(5)) =

 

1.152(10^(6))

Answer 2

 

240,000,000 × 0.000024

              0.005

 

This can be written as;

 

24 × 10⁷ × 24 × 10^-6

         5 × 10^-3

 

24 × 24 × 10^(7-6)

      5 × 10^-3

 

576 × 10¹

5 × 10^-3

 

(576 / 5) * 10^1--3

 

(576 / 5) * 10¹⁺³

 

115.2 * 10⁴