College

Which of the following is the same as [tex]$8.4 \times 10^2$[/tex]?

A. 84
B. 84
C. 8,400
D. 840

Answer :

To solve this problem, we need to calculate [tex]\(8.4 \times 10^2\)[/tex].

Let's break it down:

1. Understand what [tex]\(10^2\)[/tex] means:
- The expression [tex]\(10^2\)[/tex] represents 10 raised to the power of 2, which means multiplying 10 by itself once.
- So, [tex]\(10^2 = 10 \times 10 = 100\)[/tex].

2. Multiply [tex]\(8.4\)[/tex] by [tex]\(100\)[/tex]:
- When you multiply a number by 100, you essentially move the decimal point two places to the right.
- Starting with 8.4, if you move the decimal two places right, it becomes 840.

So, [tex]\(8.4 \times 10^2 = 840\)[/tex].

Therefore, the correct answer to the question is:
D. 840