High School

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

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

Answer :

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

Let's break this down:

1. Understand the expression: [tex]\(10^2\)[/tex] means 10 raised to the power of 2, which is 10 multiplied by itself. So, [tex]\(10^2 = 100\)[/tex].

2. Now, multiply 8.4 by 100:
- When you multiply 8.4 by 10, you simply move the decimal point one place to the right. So, [tex]\(8.4 \times 10 = 84\)[/tex].
- Then, multiply 84 by another 10 (since [tex]\(10^2 = 10 \times 10\)[/tex]). Again, move the decimal point one place to the right: [tex]\(84 \times 10 = 840\)[/tex].

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

Looking at the choices given:
A. 84
B. 840
C. 8,400
D. 84

The correct answer is B. 840.