The Apollo $11$ mission is famous for putting the first man on the moon. Jenny informed her friends that the Apollo $11$ lunar module was on the surface of the moon for $8 \times 10^7$ milliseconds. What would be the most appropriate unit of time for Jenny to use instead of milliseconds? $\newline$ Choices: $\newline$ (A) seconds $\newline$ (B) minutes $\newline$ (C) hours $\newline$ (D) weeks

Full solution

Q. The Apollo

11

mission is famous for putting the first man on the moon. Jenny informed her friends that the Apollo

11

lunar module was on the surface of the moon for

8 \times 10^7

milliseconds. What would be the most appropriate unit of time for Jenny to use instead of milliseconds?

\newline

Choices:

\newline

(A) seconds

\newline

(B) minutes

\newline

\newline

(D) weeks

Convert to seconds: Convert milliseconds to seconds by dividing by $1000$ because there are $1000$ milliseconds in a second. $\newline$ Calculation: $8 \times 10^7$ milliseconds $\times \left(\frac{1 \text{ second}}{1000 \text{ milliseconds}}\right) = 8 \times 10^4$ seconds.
Convert to minutes: Convert seconds to minutes by dividing by $60$ because there are $60$ seconds in a minute. $\newline$ Calculation: $8 \times 10^4$ seconds $\times (1$ minute $/ 60$ seconds $) = \frac{8}{6} \times 10^4$ minutes.
Simplify fraction: Simplify the fraction $\frac{8}{6}$ to get approximately $1.333 \times 10^4$ minutes.
Convert to hours: Convert minutes to hours by dividing by $60$ because there are $60$ minutes in an hour. $\newline$ Calculation: $1.333 \times 10^4$ minutes $\times \left(\frac{1 \text{ hour}}{60 \text{ minutes}}\right) = \frac{1.333}{60} \times 10^4$ hours.
Simplify fraction: Simplify the fraction $\frac{1.333}{60}$ to get approximately $0.0222 \times 10^{4}$ hours.
Convert to understandable number: Convert $0.0222 \times 10^4$ to a more understandable number by multiplying the two numbers. $\newline$ Calculation: $0.0222 \times 10^4 = 222$ hours.
Choose appropriate unit: Since $222$ hours is less than $10$ days (because $10$ days would be $240$ hours), the most appropriate unit from the choices given would be hours.