Fill in the blanks with the correct steps for solving: ($3.71 \times 10^5$) + ($4.65 \times 10^7$) (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.

Word Bank: Step 1: Add the exponents together, Add 2 to the exponent 5, Subtract the exponents, or Subtract 2 to the exponent 5?
Word Bank 2: Change 3.71 to 371, Change 3.71 to 0.037, Change 4.65 to 0.465, Change 4.65 to 0.045
Word Bank 3: Keep the same, Multiply, Divide, Subtract, Add
Word Bank 4: Keep the same, Multiply, Divide, Subtract, Add
Word Bank 5: 8.36 x 10^2, .94 x 10^12, 4.6871 x 10^7, 9.4 x 10^7

Answer 1

To solve the expression \((3.71 \times 10^5) + (4.65 \times 10^7)\) using the steps of adding numbers in scientific notation, we can fill in the blanks as follows:

Step 1: Add 2 to the exponent 5 to get the exponents the same for adding in Scientific Notation.
(Since \(10^5\) needs to be changed to \(10^7\), we add 2 to the exponent.)

Step 2: Change 3.71 to 0.037 to change the coefficient on the term that the exponent was changed.
(When we change \(10^5\) to \(10^7\), we move 2 places to the right in the coefficient.)

Step 3: Add the coefficients.
(Now we sum \(0.037\) with \(4.65\).)

Step 4: Keep the same exponent to simplify.
(The exponent remains \(10^7\) as we combine the coefficients.)

Step 5: 4.6871 x 10^7 is the final answer in Scientific Notation.
(This is the result after adding the coefficients and keeping the exponent.)

So the final answers are:

1. Add 2 to the exponent 5
2. Change 3.71 to 0.037
3. Add the coefficients
4. Keep the same exponent
5. 4.6871 x 10^7