Final answer:
The product of 82 and 4.5 x 10^5 is 3.69 x 10^7 when expressed in scientific notation.
Step-by-step explanation:
The product of 82 and 4.5 x 10^5 can be found by multiplying the two numbers. First, convert 82 into scientific notation, which is 8.2 x 10^1. Multiplying 8.2 x 10^1 by 4.5 x 10^5 gives:
- Multiply the significant figures: 8.2 x 4.5 = 36.9
- Add the exponents of 10: 10^1 x 10^5 = 10^(1+5) = 10^6
Combine the two results to get the product in scientific notation: 36.9 x 10^6. However, scientific notation requires only one nonzero digit to the left of the decimal point, so we adjust this to 3.69 x 10^7.