Answer :
To solve the problem [tex]$8.4 \times 10^2$[/tex], we need to multiply 8.4 by 100, because 10^2 is the same as 100.
Here’s a step-by-step breakdown:
1. Understanding the Power of 10:
- [tex]\(10^2\)[/tex] means 10 multiplied by itself, which is 100.
2. Multiplication Process:
- Multiply 8.4 by 100. This multiplication involves shifting the decimal point two places to the right, since [tex]\(100\)[/tex] has two zeros.
3. Performing the Multiplication:
- Start with 8.4.
- Move the decimal point two places to the right: [tex]\(8.4\)[/tex] becomes [tex]\(840\)[/tex].
Therefore, [tex]$8.4 \times 10^2$[/tex] is equal to 840.
The correct answer is D. 840.
Here’s a step-by-step breakdown:
1. Understanding the Power of 10:
- [tex]\(10^2\)[/tex] means 10 multiplied by itself, which is 100.
2. Multiplication Process:
- Multiply 8.4 by 100. This multiplication involves shifting the decimal point two places to the right, since [tex]\(100\)[/tex] has two zeros.
3. Performing the Multiplication:
- Start with 8.4.
- Move the decimal point two places to the right: [tex]\(8.4\)[/tex] becomes [tex]\(840\)[/tex].
Therefore, [tex]$8.4 \times 10^2$[/tex] is equal to 840.
The correct answer is D. 840.
