Question

When multiplying two numbers in scientific notation, what operations do you use on the coefficients and the exponents of the power of 10?

Answer 1

When multiplying two numbers in scientific notation, you multiply the coefficients and add the exponents of the power of 10.

For example, if you are multiplying 3.4 x 10^2 and 2.5 x 10^3:

- Multiply the coefficients: 3.4 * 2.5 = 8.5
- Add the exponents of the power of 10: 2 + 3 = 5
- Therefore, the result is 8.5 x 10^5.