High School

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

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

Answer :

Sure! Let's break down the expression [tex]\(8.4 \times 10^2\)[/tex] step by step.

1. Understand the expression: The expression [tex]\(8.4 \times 10^2\)[/tex] involves multiplication of the number 8.4 by [tex]\(10^2\)[/tex]. This means we will multiply 8.4 by 100 (since [tex]\(10^2\)[/tex] equals 100).

2. Moving the decimal point: When you multiply a number by 100, you need to move the decimal point two places to the right.

3. Perform the calculation:
- Start with the number 8.4.
- Move the decimal point two places to the right:
- After moving one place, 8.4 becomes 84.
- After moving another place, 84 becomes 840.

4. Select the correct answer: The result of the calculation is 840, which matches option C.

So, the answer is C. 840.