Question

What is the product of 46 and 7.7 x 10⁵ expressed in scientific notation? a. 3.542 x 10⁷ b. 3.542 x 10⁶ c. 35.42 x 10⁶ d. 354.2 x 10⁶

Answer 1

The product of 46 and 7.7 x 10⁵ is 3.542 x 10⁷ when expressed in scientific notation, which corresponds to option a. 3.542 x 10⁷.

Step-by-step explanation:

To find the product of 46 and 7.7 x 10⁵ and express it in scientific notation, we follow these steps:

1. Multiply the two numbers ignoring the power of ten: 46 x 7.7 = 354.2.
2. Add the exponent from the scientific notation term to the multiplication result: 354.2 x 10⁵.
3. Now, express 354.2 in scientific notation: 3.542 x 10².
4. Combine the exponents: 10² x 10⁵ = 10⁷.
5. So, the full expression in scientific notation is 3.542 x 10⁷.

The correct answer to the question is a. 3.542 x 10⁷.