Chapter 1 Review: Reciprocal Relationships, Powers of Ten, and Unit Prefixes

Flashcards to review reciprocal relationships, dimensional analysis, unit prefixes, and graph axes from the lecture notes.

What is the reciprocal relationship between two numbers whose product equals 1?

They are multiplicative inverses; each is the reciprocal of the other (e.g., 2 and 1/2).

If you multiply a quantity by a factor f, what happens to its reciprocal?

The reciprocal is divided by f (equivalently multiplied by 1/f).

What operation corresponds to increasing by a factor?

Multiplication by that factor.

What operation corresponds to decreasing by a factor?

Division by that factor.

What prefix corresponds to 10^2 (one hundred)?

Hecto.

What prefix corresponds to 10^3 (one thousand)?

Kilo.

What prefix corresponds to 10^6 (one million)?

Mega.

What prefix corresponds to 10^9 (one billion)?

Giga.

What prefix corresponds to 10^12 (one trillion)?

Tera.

What prefix corresponds to 10^-3?

Milli.

What prefix corresponds to 10^-6?

Micro.

What prefix corresponds to 10^-9?

Nano.

What prefix corresponds to 10^-12?

Pico.

How many inches are in one foot?

12 inches.

How many dimensions define length, area, and volume respectively?

Length is 1D, area is 2D, volume is 3D.

Is a cubic meter a measure of area or volume?

Volume (m^3 measures volume).

What is a common unit for measuring area?

Square meter (m^2) or square feet (ft^2).

What is the unit typically used to measure the circumference of a circle?

A length unit (e.g., mm, cm, m).

What is the horizontal axis of a graph called?

X-axis.

What is the reciprocal of a quantity with units of cubic meters (m^3)?

m^-3 (per cubic meter).

What prefix represents 10^18?

Exa.

What prefix represents 10^-18?

Atto.