Question
A corporation earned a profit of $2.5 × 10^4 for 1 × 10^3 days in a row. What was the corporation’s total profit during this time period? Write the answer in scientific notation.
Responses
A 2.5 X 10 2.5 X 10^-7
B 2.5 X 102.5 X 10^7
C 2.5 X 10 2.5 X 10^6
D 2.5 X 10
Responses
A 2.5 X 10 2.5 X 10^-7
B 2.5 X 102.5 X 10^7
C 2.5 X 10 2.5 X 10^6
D 2.5 X 10
Answers
GPT 3.5
To find the corporation's total profit during this time period, we need to multiply the profit per day by the number of days.
The profit per day is $2.5 × 10^4 (given in scientific notation), and the number of days is 1 × 10^3 (also given in scientific notation).
When multiplying numbers in scientific notation, we multiply the coefficients and add the exponents.
So the total profit is (2.5 × 1) × (10^4 × 10^3) = 2.5 × 10^4+3 = 2.5 × 10^7.
Therefore, the answer is B) 2.5 × 10^7.
The profit per day is $2.5 × 10^4 (given in scientific notation), and the number of days is 1 × 10^3 (also given in scientific notation).
When multiplying numbers in scientific notation, we multiply the coefficients and add the exponents.
So the total profit is (2.5 × 1) × (10^4 × 10^3) = 2.5 × 10^4+3 = 2.5 × 10^7.
Therefore, the answer is B) 2.5 × 10^7.