Which of thefollowing objects
can be measured in length?
4.
What is aUnit Conversion?
A unit conversion is a changing of one unit to another.
Unit Examples:
meters
grams
inches
feet
pounds
seconds
Any time you write down a number in physics, you
should have a unit written after it!!!
5.
Using SI Units
Thetable below lists the prefixes in common use.
Commonly Used Metric Prefixes
Prefix Symbol Meaning Factor
mega M 1 million times larger than the unit it precedes 106
kilo k 1000 times larger than the unit it precedes 103
deci d 10 times smaller than the unit it precedes 10-1
centi c 100 times smaller than the unit it precedes 10-2
milli m 1000 times smaller than the unit it precedes 10-3
micro μ 1 million times smaller than the unit it precedes 10-6
nano n 1 billion times smaller than the unit it precedes 10-9
pico p 1 trillion times smaller than the unit it precedes 10-12
Units of Length
6.
What is aMetric Unit?
Metric units are the universally excepted units around the world (except
for the US). They are the easiest to convert.
Metric Unit Examples:
meters
liters
grams
Base Units – all
other metric
units are based
off of these
(km, cm, ml,
kg)
7.
Metric Conversion Factors
1 km= 1000 m
100 cm= 1 m
1000 mm = 1 m
10 mm = 1 cm
Knowing these conversion
factors makes calculating
conversions easy!
These also work for liters and
grams. Just replace the base
unit (m) with a (g) or (l).
8.
A mathematical wayto convert one
unit to another. This works for metric
units and non-metric (English) units.
This works by taking the unit you are
given and multiplying it by a
conversion factor.
9.
Example 1: Convert3m to cm
Given Conversion
Factor
= 300cm
For meters to cancel out,
meters in the conversion
factor must be on the
opposite side of the fraction
(fence).
3m 100 cm
1m
Multiply every number on top
of the fence and divide by the
bottom.
10.
Example 2: Convert1516 g to kg
conversion factor
1.516 kg
1516 g 1 kg
1000 g
11.
Whiteboard Problem 1
Convert 1200 cm to m.
CLE.3231.Math.1 Graph relationships and functions between manipulated (independent) variables and responding (dependent)
variables.CLE.3231.Math.2 Solve for variables in an algebraic formula.
Example 3: Convert7200mm to km
7200 mm
= .0072 km
10 mm
1 cm 1 km
100,000 cm
14.
Whiteboard Problem 3
Convert 3 m to mm.
CLE.3231.Math.1 Graph relationships and functions between manipulated (independent) variables and responding
(dependent) variables.CLE.3231.Math.2 Solve for variables in an algebraic formula.
15.
Non-Metric (English) UnitConversions
Common Conversion Factors
5280 ft = 1 mile
12 in = 1 ft
1 mile = 1600 m
1 in = 2.54 cm
3 ft = 1 yard
English to Metric
conversion factors
16.
Example 4: Convert2 miles to ft
= 10,560 ft
CLE.3231.Math.1 Graph relationships and functions between manipulated (independent) variables and responding
(dependent) variables.CLE.3231.Math.2 Solve for variables in an algebraic formula.
2 mi 5280 ft
1 mi
17.
Whiteboard Problem 4
Convert 3.2 ft to inches.
CLE.3231.Math.1 Graph relationships and functions between manipulated (independent) variables and responding
(dependent) variables.CLE.3231.Math.2 Solve for variables in an algebraic formula.
18.
Example 5: Convert5 ft to
cm
CLE.3231.Math.1 Graph relationships and functions between manipulated (independent) variables and responding
(dependent) variables.CLE.3231.Math.2 Solve for variables in an algebraic formula.
5 ft 12 in
1 ft
2.54 cm
1 in
= 152. 4 cm
Converting Units ofTime
Convert the units of time.
3 minutes and
9 seconds
1 hour and 25
minutes
3 weeks and
1 day
seconds minutes days
189 85 22
22.
Conversion of unitsof Time
1 min= 60 sec
1 min= 60 sec
1hour= 60 min= 3600 sec
1hour= 60 min= 3600 sec
1day=24hrs=1440 mins=86400sec
1day=24hrs=1440 mins=86400sec
1month=30 days
1month=30 days
1 year= 365 days
1 year= 365 days
23.
Converting Units of
Time
Convertthe units of time.
8 years and
4 months
3 days and
8 hours
2¾ hours
months
hours
minutes
100
80
165
24.
Sam is incorrect.
730days equals 2 years and 22 months equals 1
year and 10 months.
Converting Units of
Time
Gill
22 months
Tomek
730 days
Gill is the
eldest child.
Is Sam correct? Explain your answer.
