# Unit Conversions ```Chapter 2: Measurement and Problem Solving
 Convert between units.
 Convert units raised to a power.
 How many seconds are in 532 days?
 Units are multiplied, divided, and
canceled like any other algebraic
quantities.
 Using units as a guide to solving
problems is called dimensional
analysis.
 Always write every number with its
associated unit.
 Do not let units appear or disappear
in calculations. Units must flow
logically from beginning to end.

Conversion factors
are ratios
constructed from
any two quantities
known to be
equivalent.

Conversion factors can be inverted because
they are equal to 1 and the inverse of 1 is 1.
 In solving problems, always check if
the final units are correct, and
consider whether or not the
sense.

When converting quantities with units
raised to a power, the conversion factor
must also be raised to that power.

Convert 7.8 km to miles.

Convert 0.825 m to
millimeters.

One lap of a running track
measures 255 m. To run 10.0
km, how many laps should
you run?

A circle has an area of
2659 cm2. What is its area
in square meters?

An automobile engine has a
displacement (a measure of the
size of the engine) of 289.7 in.3
What is its displacement in cubic
centimeters?
```