Question

The ice cream that Mrs. Weaver and Ms. Rogan made for all of their classes is in a freezer that holds 2.8×103
pints of ice cream. They want to divide the ice cream up so that all middle school students get their favorite flavor. How many pints would each student get if there are 1.4×103
students?

Remember, when you divide with scientific notation, divide the whole numbers, keep the x 10, and subtract the exponents. Watch this video for a review if you need help: Khan Academy: Multiplying & dividing in scientific notation

(1 point)
Responses

1 pint
1 pint

2 pints
2 pints

3 pints
3 pints

4 pints

Answer 1

To find out how many pints of ice cream each student would get, we need to divide the total amount of ice cream by the number of students using scientific notation.

1. The total amount of ice cream is \(2.8 \times 10^3\) pints.
2. The number of students is \(1.4 \times 10^3\).

Now, we'll perform the division step-by-step:

### Step 1: Divide the coefficients
\[
\frac{2.8}{1.4} = 2
\]

### Step 2: Subtract the exponents
For the exponents, we subtract the exponent of the denominator from the exponent of the numerator:
\[
10^{3-3} = 10^0 = 1
\]

### Step 3: Combine the results
Putting it all together, we get:
\[
\frac{2.8 \times 10^3}{1.4 \times 10^3} = 2 \times 10^0 = 2
\]

So, each student would get 2 pints of ice cream.

The correct response is:
**2 pints**