Scientific Notation Example and Unit Analysis by Jared Rovny, PhD

About the Lecture

The lecture Scientific Notation Example and Unit Analysis by Jared Rovny, PhD is from the course Methods and Common Calculations. It contains the following chapters:

Scientific Notation Example
Unit Analysis

Included Quiz Questions

Which of the following is the correct way to rewrite 65,000,000 × 15,000/2,300?

(6.5 × 1.5/2.3) × 10^8
(6.5 × 1.5/2.3) × 10^6
(6.5 × 1.5/2.3) × 10^4
(65 × 15/23) × 10^8
(6.5 × 1.5/2.3) × 10^7

The unit of force F is kg meters/second². What combination of mass m and acceleration a creates the same unit as force F? ([m] = kg, [a] = meters/second²)

[F] = [ma]
[F] = [m²a]
[F] = [m/a]
[F] = [ma]²
[F] = [a/m]

How do you express the number 0.00185 in scientific notation?

1.85 x 10^-3
0.185 x 10^-3
18.5 x 10^1
1.8 x 10^-4
1.8500 x 10^-2

What is another way to write (2.5 × 1.8/2.7) × 10^6?

2,500,000 × 1800 / 2,700
2,500,000 × 2700 / 1,800
25,000,000 / 1,800 × 2700
2.5^8 × 1,800 × 2700
2.5^8 × 2700 × 1,800

What is another way to write 3,200 × 5,000,000/2,500,000,000 in scientific notation?

(3.2 × 10^3)(5 × 10^6)/ (2.5 × 10^9)
(5 × 10^3) (3.25 × 10^6)/ (2.5 × 10^9)
(32 × 10^3) (5 × 10^6)/ (25 × 10^9)
(32 × 10^6) (5 × 10^8)/ (2.5×10^9)
(3.2 × 10^3) (5 × 10^6)/ (25 × 10^7)

How can the units of position x ([x] = meters) be expressed in terms of units of velocity v ([v] = meters/second) and time t ([t] = second)?

[x] = [v][t]
[x] = [v]/[t]
[x] = [v][t]²
[x] = [v]²[t]
[x] = [t]/[v]

How can we represent the units of acceleration a ([a] = meters/second²) in terms of units of velocity v ([v] = meters/second) and time t ([t] = second)?