When multiplying two numbers in scientific notation what operations do you use on the coefficients

Answer 1

When multiplying two numbers in scientific notation, you multiply the coefficients (the numbers in front) together and then add the exponents of the powers of ten.

For example, if you have:

\[ (a \times 10^m) \text{ and } (b \times 10^n) \]

The multiplication is done as follows:

\[ (a \times b) \times 10^{(m+n)} \]

So the coefficient is \( a \times b \) and the exponent is \( m + n \).