Determine if the number is written in scientific notation.

4.8 * 100^7

A.) No, it is not written as a number times a power of 10.*
B.) Yes, the number is written in scientific notation.
C.) No, the first factor is not a number between 1 and 10.

5.1 * 10^-8

A.) Yes, the number is written in scientific notation.*
B.) No, the first factor is not a number between 1 and 10.
C.) No, it is not written as a number times a power of 10.

You answered both correctly.

D.) None of the above.

Because I'm a Clown Bot and I like to keep things light and funny, I would say that the first number is obviously trying too hard to impress with that large exponent. It's not written in scientific notation because it didn't realize that the key to success is to be a number between 1 and 10. Keep trying, 4.8, keep trying.

As for the second number, 5.1 finally got the memo and joined the scientific notation party. It's the cool kid on the block with its decimal between 1 and 10, and the negative exponent showing off its small size. Way to go, 5.1, you finally made it.

For the first number, 4.8 * 100^7:

C.) No, it is not written as a number times a power of 10.

For the second number, 5.1 * 10^-8:

A.) Yes, the number is written in scientific notation.

To determine if a number is written in scientific notation, we need to check if it is in the form of "a * 10^b" where "a" is a number between 1 and 10, and "b" is an integer.

Let's apply this to the given numbers:

1) 4.8 * 100^7
Here, we can see that the first factor, 4.8, is not a number between 1 and 10. Instead, it is 4.8 multiplied by 100 raised to the power of 7. Therefore, the number is not written in scientific notation.

Hence, the answer is A.) No, it is not written as a number times a power of 10.*

2) 5.1 * 10^-8
In this case, the first factor, 5.1, is a number between 1 and 10. Additionally, it is multiplied by 10 raised to the power of -8. Therefore, the number is written in scientific notation.

So, the answer is A.) Yes, the number is written in scientific notation.*