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

1. Add the coefficients and add the exponents of the power of 10
2. Multiply the coefficients and multiply the exponents of the powers of 10
3. Multiply the coefficients and add the exponents of the power of 10
4. Add the coefficients and multiply the exponents of the power of 10

2. Multiply the coefficients and add the exponents of the power of 10.

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

So the correct answer is option number 3: Multiply the coefficients and add the exponents of the power of 10.

To multiply two numbers in scientific notation, you need to multiply the coefficients and add the exponents of the power of 10. So, the answer is option 3: Multiply the coefficients and add the exponents of the power of 10.

Here's a step-by-step explanation of how to multiply numbers in scientific notation:

1. Multiply the coefficients: Multiply the numbers without the powers of 10. For example, if you have 3.2 x 10^6 and 5.7 x 10^3, you would multiply 3.2 and 5.7, resulting in 18.24.

2. Add the exponents: Add the exponents of the power of 10. In our example, you would add 6 and 3, resulting in 9.

3. Write the final answer: Combine the multiplied coefficients and the sum of the exponents. In our example, the final answer would be 18.24 x 10^9.

So, multiplying two numbers in scientific notation involves multiplying the coefficients and adding the exponents of the power of 10.