Fill in the blanks with the correct steps for solving: (3.71×10^)+(4.65×10^7)(5 points)

Question

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

To solve the expression \((3.71 \times 10^x) + (4.65 \times 10^7)\) in scientific notation, the steps would be as follows:

Step 1: Adjust the exponent of \(3.71 \times 10^x\) to match the exponent of \(4.65 \times 10^7\). This step typically involves either increasing or decreasing the exponent to make them the same.

Step 2: Modify the coefficient for the term whose exponent was changed. This is done by shifting the decimal point of the coefficient as the exponent is adjusted. For example, if you decrease the exponent by 1, you would multiply the coefficient by 10.

Step 3: Add the new coefficients together. Once the coefficients have been adjusted to match the same power of 10, you can add them.

Step 4: Combine the coefficients and retain a common exponent. If necessary, adjust the final coefficient so that it is in proper scientific notation (usually between 1 and 10).

Step 5: Write down the final answer in scientific notation, ensuring that the coefficient is properly formatted.

Make sure to specify the value of \(x\) as necessary when performing these calculations.