WEBVTT
00:00:01.090 --> 00:00:05.890
On a map, one centimeter represents 500 meters.
00:00:06.300 --> 00:00:10.030
What is the distance represented by 10 centimeters?
00:00:12.140 --> 00:00:20.280
This statement, one centimeter represents 500 meters, gives us the map scale.
00:00:21.610 --> 00:00:29.170
The scale of the map is the ratio of a distance on the map corresponding to the distance on the ground.
00:00:30.790 --> 00:00:44.240
The ratio of map to ground, one centimeter on our map equals 500 meters on the ground, 500 meters in real life.
00:00:45.650 --> 00:00:52.980
If our map shows a distance of 10 centimeters, how far is that in real life?
00:00:54.040 --> 00:00:58.700
I know that each dash represents one centimeter.
00:00:59.560 --> 00:01:01.820
And that would be 500 meters.
00:01:02.930 --> 00:01:08.530
Every time we go one centimeter on our map, we would add 500 more meters.
00:01:09.440 --> 00:01:12.250
And we would need to do that 10 times.
00:01:13.500 --> 00:01:15.320
But there’s actually a better way.
00:01:16.830 --> 00:01:18.980
We want to set up a proportion.
00:01:20.120 --> 00:01:23.420
For every one centimeter, it’s 500 meters.
00:01:24.460 --> 00:01:29.340
And that would be equal to 10 centimeters over how much?
00:01:31.210 --> 00:01:35.190
How would we go from one centimeter to 10 centimeters?
00:01:36.190 --> 00:01:38.020
We would multiply by 10.
00:01:38.360 --> 00:01:40.440
One times 10 equals 10.
00:01:41.510 --> 00:01:54.050
If we want to keep our ratios the same, if we want equivalent fractions, that means, if we multiply by 10 in the numerator, we need to multiply by 10 in the denominator.
00:01:54.380 --> 00:01:58.200
We need to multiply 500 meters times 10.
00:01:59.890 --> 00:02:04.880
500 meters times 10 equals 5000 meters.
00:02:06.190 --> 00:02:13.420
And that means, 10 centimeters on our map equals 5000 meters on the ground.