Question

Mrs. Weaver scoops 3.2×105
scoops of ice cream to her pre-algebra class.

Ms. Rogan scoops 2.5×104
scoops to her pre-algebra class.

How many scoops were there all together?

Remember, when you add with scientific notation, the exponents need to be the same. Then you can add the numbers and keep the x10 to the same exponent. Watch this video for a review if you need help: Adding Scientific Notation

(1 point)
Responses

5.7×109
5 point 7 times 10 to the 9th power

3.45×109
3 point 4 5 times 10 to the 9th power

3.45×105
3 point 4 5 times 10 to the 5th power

3.45×104

Answer 1

To add \(3.2 \times 10^5\) and \(2.5 \times 10^4\), you need to adjust the numbers so that they have the same exponent.

First, let's convert \(2.5 \times 10^4\) to the same exponent as \(3.2 \times 10^5\).

Since \(10^5\) is greater than \(10^4\), we can convert \(2.5 \times 10^4\) as follows:

\[
2.5 \times 10^4 = 0.25 \times 10^5
\]

Now the two numbers can be added:

\[
3.2 \times 10^5 + 0.25 \times 10^5 = (3.2 + 0.25) \times 10^5 = 3.45 \times 10^5
\]

Thus, the total number of scoops of ice cream is:

\[
\boxed{3.45 \times 10^5}
\]

This matches the option \(3.45 \times 10^5\).