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Debora [2.8K]
1 year ago
8

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

Mathematics
1 answer:
Lisa [10]1 year ago
4 0

Answer:

\begin{gathered} a)9.54\times10^6\text{square miles} \\ b)0.0061\sec onds_{} \end{gathered}

Explanations:

a) The scientific notation is generally expressed as;

A\times10^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\times10^6mi^2

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

b) Given the scientific notation as shown:

6.1\times10^{-3}\text{seconds}

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

6.1\times10^{-3}=0.0061\text{seconds}

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