Question

Hey I am trying to help my son in math.
The question is, The scale of a district map is 1 over 10000. Find the distance on the map, in centimeters, for each of the following distances.

a) 800m

b) 5 km

I need to see how this is worked out.

Answer 1

the map probably has a scale of 1 : 10 000
which means 1 cm on the map = 10 000 cm in the real world
so convert 800 m to cm
800 m = 80 000 cm

now you can just reason it out ...
if 10 000 cm needs 1 cm on the map
then 80 000 cm will need 8 cm on the map

or
you could set up a ratio
x/80 000 = 1/10 000
cross-multiply to get
10000x=80000 , divide both sides by 10000
x = 8

do the second one the same way ...
5 km = 5 000 m = 500 000

x/500 000 = 1/ 10 000
10 000x = 500 000
x = 50

Answer 2

thank you