Final answer:
To convert to proper scientific notation, the number must be between 1 and 10, multiplied by a power of 10. For 8,099 x 10^7, it is 8.099 x 10^10; for 34.5 x 10^0, it is 3.45 x 10^1; for 0.000332 x 10^4, it is 3.32.
Step-by-step explanation:
To convert the given decimal numbers into the proper scientific notation, we follow a specific format where the number is expressed as a product of a number between 1 and 10 and a power of 10. Here are the corrected conversions:
- 8,099 x 107: We need to move the decimal point in 8099 three places to the left to make it a number between 1 and 10, which gives us 8.099. Therefore, the power of 10 should be increased by three, resulting in the scientific notation 8.099 x 1010.
- 34.5 x 100: 34.5 is already between 1 and 10, but we need to consider the 100 which is equal to 1. The scientific notation is simply the number itself: 3.45 x 101.
- 0.000332 x 104: Moving the decimal four places to the right, we get 3.32. This cancels out the 104, giving us the scientific notation 3.32 x 100. However, since 100 is 1, we obtain 3.32 as the scientific notation.
When expressing answers in scientific notation, it is important to also consider the appropriate number of significant figures and to use proper units when necessary.