Question

Write your answer in scientific notation. (5.84×102) (2.85×102)

Answer 1

To multiply (5.84×102) by (2.85×102) in scientific notation, you multiply the base numbers and add the exponents, giving the final answer as 1.6644×107.

Step-by-step explanation:

The student asked to write the product of two numbers in scientific notation: (5.84×102) (2.85×102). To compute this, follow these steps:

1. Multiply the base numbers: 5.84 × 2.85 = 16.644.
2. Add the exponents of 10: 10^2 × 10^2 = 10^(2+2) = 10^4.
3. Combine the results in scientific notation: 16.644 × 10^4.
4. Because scientific notation requires a number between 1 and 10, move the decimal three places to the left: 1.6644 × 10^(4+3) = 1.6644 × 10^7.

The final answer is 1.6644 × 10^7.