Video: Using Number Lines to Represent Hundredths

Look at the highlighted number on the number line. Write this number as a mixed number.

02:18

Video Transcript

Look at the highlighted number on the number line. Write this number as a mixed number.

This number line shows all the numbers between three and four. And so the highlighted number is greater than three and less than four. We can write this in two different ways.

The lower part of the number line shows us the numbers written as decimals. 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. Let’s work out where the arrow is pointing.

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. This means that halfway between each of these decimals are the numbers 3.1, 3.3, 3.5, 3.7, and lastly 3.9.

So now we can say that our arrow is pointing to a number between 3.7 and 3.8. Each of the small intervals on the diagram is worth one 100th. There are a hundred intervals between three and four. And so we can label the top part of the number line with mixed numbers. And so we can also say that our number is between three and 70 100ths and three and 80 100ths.

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.

And so the highlighted number can be written as a mixed number, three and 78 100ths.

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