Estimation and order of magnitude Transitional Reasoning Practice

Questions

1. 1.

   A commuter cycles to work and back each weekday, covering an estimated round-trip distance of 12 km per day over a 40-week work year (5 days per week). If the bicycle wheel has an effective rolling circumference of approximately 2.0 m, what is the order of magnitude of the total number of wheel revolutions made during the year?

   • A) $10^3$
   • B) $10^5$
   • C) $10^6$
   • D) $10^7$
2. 2.

   A municipal engineer needs to estimate the annual residential water demand for a town with a population of approximately 20,000 people. Assuming each resident uses an average of 150 liters (0.15 m$^3$) of water per day, what is the order of magnitude of the town's total annual water consumption in cubic meters?

   • A) $10^6$ m$^3$
   • B) $10^4$ m$^3$
   • C) $10^8$ m$^3$
   • D) $10^{10}$ m$^3$

Answers and step-by-step solutions appear after you finish the test.