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

Answer 1

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

For example, consider the numbers 2.5 x 10^3 and 3.2 x 10^2.
To multiply these two numbers, you would multiply the coefficients (2.5 x 3.2 = 8) and add the exponents of the powers of 10 (3 + 2 = 5). Hence, the product of these two numbers in scientific notation would be 8 x 10^5.