Questions: In a recent year, the population of a country was approximately 337.4 million, Complete parts (a) through (c) below,
(a) Write the population using scientific notation,
337.4 million =
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Transcript text: In a recent year, the population of a country was approximately 337.4 million, Complete parts (a) through (c) below,
(a) Write the population using scientific notation,
337.4 million $=$ $\square$
(Use scientific notation. Use the multiplication symbol in the math palette as needed.)
Solution
Solution Steps
To express the population in scientific notation, we need to convert the given number into a format where it is represented as a product of a number between 1 and 10 and a power of 10. The number 337.4 million can be written as 337.4 x 10^6. We then adjust the decimal point to create a number between 1 and 10, and adjust the exponent on the 10 accordingly.
Step 1: Convert Population to Scientific Notation
To express the population of \( 337.4 \) million in scientific notation, we first write it as:
\[
337.4 \text{ million} = 337.4 \times 10^6
\]
Next, we adjust the decimal point to create a number between \( 1 \) and \( 10 \):
\[
337.4 = 3.374 \times 10^2
\]
Thus, we can rewrite the population as:
\[
337.4 \times 10^6 = 3.374 \times 10^2 \times 10^6 = 3.374 \times 10^{8}
\]
Final Answer
The population in scientific notation is
\[
\boxed{3.374 \times 10^{8}}
\]