Question

Fill in the blanks with the correct steps for solving: ($3.71 \times 10^5$) + ($4.65 \times 10^7$) (5 points)
Step 1: ____ to get the exponents the same for adding in Scientific Notation.
Step 2: ____ to change the coefficient on the term that the exponent was changed.
Step 3: ____ the coefficients.
Step 4: ____ exponents to simplify.
Step 5: ____ is the final answer in Scientific Notation.

Answer 1

Here are the correct steps for solving \((3.71 \times 10^5) + (4.65 \times 10^7)\):

Step 1: **Change the exponent of \(10^5\) to \(10^7\)** to get the exponents the same for adding in Scientific Notation.

Step 2: **Adjust the coefficient of \(3.71\)** to change the coefficient on the term that the exponent was changed (in this case, \(3.71\) becomes \(0.0371\) when we convert \(10^5\) to \(10^7\), which is \(3.71 \div 100\)).

Step 3: **Add the coefficients \(0.0371\) and \(4.65\)**.

Step 4: **Combine the coefficients** to get a single sum.

Step 5: **Convert back to Scientific Notation** for the final answer.

So filling in the blanks:

Step 1: Change the exponent of \(10^5\) to \(10^7\)
Step 2: Adjust the coefficient of \(3.71\)
Step 3: Add the coefficients
Step 4: Combine the coefficients
Step 5: Convert back to Scientific Notation

This results in a final solution that can be computed as needed!