Looking at the section on scientific notation, when multiplying two numbers, such as 2.5x103 and 4.3x105 you multiply the coefficients 2.5 and 4.3 but you add the exponents. why this so
a. When multiplying numbers in scientific notation, the exponents indicate the magnitude of the numbers relative to a power of 10. Adding the exponents allows for easier addition and subtraction of the powers of 10.

b. Multiplying the coefficients and adding the exponents allows for the proper conversion to standard scientific notation, ensuring that the final result is in the correct format.

c. Adding the exponents is a fundamental rule of exponents that applies when multiplying numbers with the same base but different exponents.

d. By adding the exponents, you are essentially combining the powers of 10 from the two numbers, which represents the combined magnitude of the two numbers.