Final answer:
The question pertains to writing numbers in scientific notation, a mathematical expression method for very large or very small numbers. The base should be between 1 and 10 with an exponent showing decimal movement. Proper notation requires correct significant figures and units if applicable.
Step-by-step explanation:
The provided information appears to be related to exercises asking for the expression of numbers in scientific notation. Scientific notation is a way of writing numbers that are too large or too small to be conveniently written in decimal form. It is often used by scientists, engineers, and mathematicians. To rewrite numbers in proper scientific notation, you follow two main rules:
- The base should be a number between 1 and 10.
- The exponent shows how many places the decimal point has been moved.
To convert a number like 8,099 x 107 into proper scientific notation, we move the decimal point so that there's only one non-zero digit in front of it. So, it becomes 8.099 x 1011. Similarly, 0.000332 x 104 would be written as 3.32 x 100 since we move the decimal three places to the right.
When writing numbers in scientific notation, the number of significant figures is retained based on the precision of the original number, and it’s important to express these numbers with the correct significant figures and units if applicable.