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### Course: Staging content lifeboat>Unit 14

Lesson 3: Fractions on the number line

# Fractions on a number line

Together, we'll explore how to represent fractions on a number line. We'll review dividing a whole, like a circle, into equal parts and selecting a fraction. Then, we'll apply this concept to a number line, dividing the interval between 0 and 1 into equal sections and labeling fractions. We'll emphasize that fractions are numbers that can be plotted on a number line, not just parts of shapes. Created by Sal Khan.

## Want to join the conversation?

• What happens if the numerator is at 0? like, 0/6? How do you put it in the number line?
• If the numerator of a fraction is 0, like
0/6, the fraction equals 0. So, on a number line, you'd place it right at the start, where the number 0 is.

If you were to draw out a shape to represent the fraction, none of the pieces would be shaded.
• how do you mark oversized fractions on a number line like 15/5
• Since we're working with fifths - 1/5 or one fifth part of one whole- (5/5 would be a whole or 1) we can write out a number line, say, up to 3 with each number being a whole. Like this < 0 - - - - 1 - - - - 2 - - - - 3 >. Then we can cut up each space between each whole into five equal parts. Each part is 1/5 of each one whole. If we count up the fifths, up to fifteen fifths or 15/5, we get up to 3 on the line. This makes sense if you think about fifteen fifths, or 15/5 being 15 divided by 5, which is of course 3. Or as having 15 slices of pie. If 5 slices make one pie, then 15 slices is enough to put together 3 whole pies.
• Hi, I really don't understand why we have number lines. Can anyone answer my question?

• A number line is a useful way of visualizing numbers and operations on numbers.

You will encounter number lines in higher levels of math.

In algebra, a number line is used to graph solutions of equations and inequalities in one variable. A coordinate plane (with a number line used for each axis) is used for graphing solutions of equations and inequalities in two variables.

In statistics, number lines are often used to graph data visually (for example bar graphs, histograms, line graphs, line plots, box plots, and scatterplots).

Have a blessed, wonderful day!
• how are yall so dang smart in the comments.
• How will I put 1/2 on a number line?
Is it the same as 1/5?
• You put a fraction on the number line the same way you would put a whole number or decimal. 1/2 is the same as 0.5 which means it's gonna go halfway between 0 and 1.

1/5 is 0.2 so it goes between 0.1 and 0.3 and therefore not the same as 1/2
(1 vote)
• my teacher says never count the zero it's in the number line though why shouldn't we count it?
• You write it, but don't count it because it's supposed to be the starting point.
(1 vote)
• I find fractions hard but I find number lines easy so I guess this won't be hard or easy.
• I don’t understand it?