Scales let us represent large distances from real life as small distances on a map
These scales above and below could mean that every 1cm on the map is 1km in real life
So where does the ratio 1:100,000 come from? Lets solve some questions to see
Example 1: On the map I measure 3.5cm, how long is that in real life?
Step 1: The ratio is 1 : 100 000 , so I multiply 100 000 by 3.5 100 000 x 3.5 = 350 000
Step 2: 350 000cm doesn't really make much sense (who measures that far in cm!) so we'll convert it to a bigger unit
cm to m is divide by 100
350 000cm divided by 100 = 3500m
m to km is divide by 1000
3500m divided by 1000 = 3.5km
All done! Answer: 3.5km
Example 2: On a map the scale is 1: 5000, if I measure 12mm how long is that in real life?
Step 1: The ratio is 1 : 5000 , so I multiply 5000 by 12 5000 x 12 = 60 000
Step 2: 60 000mm doesn't really make much sense (who measures that far in mm!) so we'll convert it to a bigger unit (For this type of question, it's usually small unit into big unit)
mm to cm is divide by 10
60 000mm divided by 10 = 6000cm
cm to m is divide by 100
6000cm divided by 100 = 60m
All done! Answer: 60m
Example 3: If the length on the drawing is 12cm and the length in real life is 240km, what is the scale?
Step 1: cm and km don't mix! So I have to turn my km into cm (For this type of question, it's always big unit into small unit)
km into m is x1000
240km x 1000 = 240 000m
m into cm is x100
240 000 x 100 = 24 000 000cm
Step 2: We put our new values into the calculator as a fraction