Sure, let's solve the problem step by step.
We need to determine which of the given options correctly represents the expression [tex]\( 8.4 \times 10^2 \)[/tex].
1. First, acknowledge that [tex]\( 10^2 \)[/tex] means [tex]\( 10 \)[/tex] raised to the power of [tex]\( 2 \)[/tex], which is [tex]\( 100 \)[/tex].
2. Now, multiply [tex]\( 8.4 \)[/tex] by [tex]\( 100 \)[/tex]:
[tex]\[
8.4 \times 100 = 840
\][/tex]
3. Therefore, [tex]\( 8.4 \times 10^2 \)[/tex] equals [tex]\( 840 \)[/tex].
We need to compare this result with the given options:
- A. [tex]\( 8,400 \)[/tex]
- B. [tex]\( 84 \)[/tex]
- C. [tex]\( 840 \)[/tex]
- D. [tex]\( 84 \)[/tex]
Given our result of [tex]\( 840 \)[/tex], the correct option is:
C. [tex]\( 840 \)[/tex]
So, the best answer to the question "Which of the following is the same as [tex]\( 8.4 \times 10^2 \)[/tex]?" is:
C. [tex]\( 840 \)[/tex]
