Divide in Scientific Notation Quick Check

Question

3 of 53 of 5 Items
Question
A city lunch program for seniors received a grant of 1.925×106 dollars. Divide that figure by the cost of $2.75 per lunch to find out how many senior lunches the grant can provide. Write the answer in scientific notation.(1 point)
Responses

7×105
7 times 10 superscript 5 baseline

0.7×106
0.7 times 10 superscript 6 baseline

7×106
7 times 10 superscript 6 baseline

0.7×105

Answer 1

To find out how many senior lunches the grant can provide, divide the total grant amount by the cost per lunch.

Given:

• Grant amount = \(1.925 \times 10^6\) dollars
• Cost per lunch = \(2.75\) dollars

To perform the division: \[ \text{Number of lunches} = \frac{1.925 \times 10^6}{2.75} \]

1. First, divide the numbers: \[ \frac{1.925}{2.75} \approx 0.7 \]

2. Next, bring down the power of ten: \[ = 0.7 \times 10^6 \]

3. To express this in proper scientific notation, we can convert \(0.7 \times 10^6\) to \(7 \times 10^5\): \[ 0.7 \times 10^6 = 7 \times 10^5 \]

So the answer in scientific notation is: \[ \boxed{7 \times 10^5} \]