To solve the question, we need to convert the scientific notation [tex]\( 8.4 \times 10^2 \)[/tex] to its decimal form.
1. Understanding Scientific Notation: Scientific notation is a way to express very large or very small numbers conveniently. In scientific notation, a number is written as the product of a number (the coefficient) and a power of 10.
2. Identify the Coefficient and Exponent: In our expression [tex]\( 8.4 \times 10^2 \)[/tex], the coefficient is [tex]\( 8.4 \)[/tex] and the exponent is [tex]\( 2 \)[/tex].
3. Convert to Decimal Form:
- The exponent [tex]\( 2 \)[/tex] in [tex]\( 10^2 \)[/tex] tells us how many places to move the decimal point in the coefficient to the right.
- Starting with the number [tex]\( 8.4 \)[/tex], we move the decimal point 2 places to the right.
Here's how it looks:
[tex]\[
8.4 \quad \rightarrow \quad 84.0 \quad \rightarrow \quad 840
\][/tex]
4. Final Answer: After converting, [tex]\( 8.4 \times 10^2 \)[/tex] equals 840.
Therefore, the answer is:
C. 840
