Fill in the blanks with the correct steps for solving: (3.71×10^5)+(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 fill in the blanks for solving the expression \((3.71 \times 10^5) + (4.65 \times 10^7)\) in scientific notation, the steps are as follows:

Step 1: Change the exponent of \(10^5\) to \(10^7\) (the same as \(10^7\)), by shifting the decimal point in \(3.71\).

Step 2: Change the coefficient \(3.71\) to \(0.0371\) (which is \(3.71 \times 10^{2}\)), so that it can be added to \(4.65\).

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

Step 4: Create the new coefficient and maintain the exponent \(10^7\) (the same exponent as the larger term).

Step 5: Write the final answer as a single term in scientific notation, ensuring it is properly formatted.

Putting this all together, the steps can be summarized as follows:

1. Change \(3.71 \times 10^5\) to \(0.0371 \times 10^7\).
2. Add \(0.0371 + 4.65\) to get \(4.6871\).
3. Since the exponent remains \(10^7\), the final answer is \(4.6871 \times 10^7\).

Final Result: \((3.71 \times 10^5) + (4.65 \times 10^7) = 4.6871 \times 10^7\).