I see the screenshot of your assignment. It involves working with scientific notation, powers of 10, and some related mathematical properties.

From the visible portion of the worksheet, here are some of the tasks it's asking:

1. Part a: It seems to ask how the number 480 was changed to 4.8 times a power of 10, which appears to involve moving the decimal point.

   • You should write that 480 becomes $4.8 \times 10^2$, indicating that the decimal moved two places.

2. Part b: It asks how the number was expressed in scientific notation.

   • The correct scientific notation for 480 is $4.8 \times 10^2$.

3. Part c: The next part is asking about the method or property used to solve the problem.

   • You likely need to indicate a property like the Product of Powers Property.

For Question 2, it involves multiplying numbers in scientific notation and requires analyzing how they were rewritten to match specific terms:

1. Part a: You're asked to match the first number to $0.00785 \times 10^{13}$, so you would have to rewrite $7.85 \times 10^{12}$ as $0.00785 \times 10^{13}$.

2. Part b: It's asking for the number in scientific notation, where you might need to identify the number between 1 and 10, followed by a power of 10.

Would you like more detailed solutions to these questions or help filling in the blanks?

Here are 5 related questions to think about:

1. What is the general rule for converting a large number into scientific notation?
2. How do you handle the multiplication of numbers in scientific notation?
3. What does the Product of Powers Property state in relation to exponents?
4. How do you rewrite a number in standard form from scientific notation?
5. What is the significance of adjusting the decimal place in scientific notation?

Tip: Always ensure the first part of a scientific notation number is between 1 and 10, followed by an appropriate power of 10.