2-6 Rates, Ratios, and Conversions

Objectives:
Find ratios and rates
Covert units and rates
N.Q.1:
Use unites as a way to understand problems
and to guide the solution of multi-step problems,
choose and interpret units consistently in
formulas.
Definitions…

DEF: Ratio – compares two numbers by division
 The ratio of two numbers a and b, where b ≠ 0, can be
written as a/b, a:b and a to b.
 For every a units of one quantity, you have b units of
another quantity
 Ex: ½, x/6, 3:1, 6 to 5

DEF: Rate – a ratio that compares quantities in
different units
 Ex:

DEF: Unit rate – a rate with a denominator of 1
unit
Example
42
4
10.50

DEF:
1
1
12
100
100
1m
1250
100 cm 100
= 12.5 m
Conversion Example
1
3.28
1
3.28
442.07…
442