Final answer:
The factory produces 8,000 boxes of paper clips per hour, with each box containing 2.5 * 10^2 paper clips. To find the number of paper clips produced in one week, we need to calculate the number of paper clips produced in one day and then multiply it by 7. The total number of paper clips produced in one week is 8.4 * 10^6.
Step-by-step explanation:
To find the number of paper clips produced in one week, we need to find the number of paper clips produced per day and then multiply that by 7 (since there are 7 days in a week).
Each box contains 2.5 * 10^2 paper clips and the factory produces 8000 boxes per hour. To find the number of paper clips produced in one hour, we multiply the number of boxes (8000) by the number of paper clips per box (2.5 * 10^2).
Therefore, the number of paper clips produced in one hour is 8000 * (2.5 * 10^2) = 2 * 10^2 * 2.5 *10^2 = 5 * 10^4.
To find the number of paper clips produced in one day, we multiply the number of paper clips produced in one hour (5 * 10^4) by the number of hours in a day (24).
Therefore, the number of paper clips produced in one day is 5 * 10^4 * 24 = 1.2 * 10^6.
Finally, to find the number of paper clips produced in one week, we multiply the number of paper clips produced in one day (1.2 * 10^6) by the number of days in a week (7).
Therefore, the number of paper clips produced in one week is 1.2 * 10^6 * 7 = 8.4 * 10^6 paper clips.