When multiplying two numbers in scientific notation, what operations do you use on the coefficients and the exponents of the powers of 10?
A. Multiply the coefficients and multiply the exponents of the powers of 10.
B. Add the coefficients and add the exponents of the powers of 10.
C. Add the coefficients and multiply the exponents of the powers of 10.
D. Multiply the coefficients and Add the exponents of the powers of 10.
D. Multiply the coefficients and add the exponents of the powers of 10.
When multiplying two numbers in scientific notation, you should multiply the coefficients and add the exponents of the powers of 10. Therefore, the correct answer is D. Multiply the coefficients and add the exponents of the powers of 10.
When multiplying two numbers in scientific notation, we use option D: Multiply the coefficients and add the exponents of the powers of 10.
To explain the process further, when multiplying two numbers in scientific notation, you first multiply the coefficients (the numbers in front of the powers of 10). This gives you the coefficient of the result.
Next, you add the exponents of the powers of 10. This gives you the exponent of the result. This is because when you multiply two numbers in scientific notation, you are essentially multiplying two powers of 10.
Adding the exponents of the powers of 10 is equivalent to multiplying the powers of 10. For example, if you have 10^3 multiplied by 10^2, you would add the exponents, which gives you 10^(3+2) = 10^5.
Therefore, when multiplying two numbers in scientific notation, you multiply the coefficients and add the exponents of the powers of 10.