Question

Converting between scientific notation and standard form in a real-world situation

Answer 1

`\begin{gathered} a)9.54*10^6\text{square miles} \\ b)0.0061\sec onds_{} \end{gathered}`

Explanations:

a) The scientific notation is generally expressed as;

`A*10^n`

A is any real numbers between 1 and 10

n is an integer

Given that the total surface area of North America is 9,540,000 square miles. This is expressed in scientific form as;

`9,540,000=9.54*10^6mi^2`

From the scientific notation, A = 9.54 and n = 6

b) Given the scientific notation as shown:

`6.1*10^(-3)\text{seconds}`

Writing in standard form means writing in the normal way we write numbers/decimals. Hence;

`6.1*10^(-3)=0.0061\text{seconds}`