WEBVTT
00:00:01.400 --> 00:00:04.260
Look at the highlighted number on the number line.

00:00:05.190 --> 00:00:08.080
Write this number as a mixed number.

00:00:09.820 --> 00:00:14.330
This number line shows all the numbers between three and four.

00:00:15.480 --> 00:00:20.290
And so the highlighted number is greater than three and less than four.

00:00:20.660 --> 00:00:22.640
We can write this in two different ways.

00:00:23.330 --> 00:00:28.640
The lower part of the number line shows us the numbers written as decimals.

00:00:29.830 --> 00:00:38.440
The top part of the number line shows us each number written as a mixed number, a whole number with a fraction on the end.

00:00:40.270 --> 00:00:42.700
Let’s work out where the arrow is pointing.

00:00:43.680 --> 00:00:57.100
We can see that each of the labelled decimals goes up by 0.2 each time: 3.2, 3.4, 3.6, 3.8, and then four.

00:00:57.810 --> 00:01:11.290
This means that halfway between each of these decimals are the numbers 3.1, 3.3, 3.5, 3.7, and lastly 3.9.

00:01:12.180 --> 00:01:19.020
So now we can say that our arrow is pointing to a number between 3.7 and 3.8.

00:01:19.980 --> 00:01:25.200
Each of the small intervals on the diagram is worth one 100th.

00:01:25.830 --> 00:01:30.160
There are a hundred intervals between three and four.

00:01:31.150 --> 00:01:35.280
And so we can label the top part of the number line with mixed numbers.

00:01:35.800 --> 00:01:44.000
And so we can also say that our number is between three and 70 100ths and three and 80 100ths.

00:01:44.890 --> 00:02:07.860
Let’s count the notches to see the number of hundredths that the arrow is pointing to: 70 100ths, 71, 72, 73, 74, 75, 76, 77, and 78.

00:02:07.900 --> 00:02:16.700
And so the highlighted number can be written as a mixed number, three and 78 100ths.