How to represent -5/3 on the number line?

Expert Answers

An illustration of the letter 'A' in a speech bubbles

-5/3

First you notice if the upper number is larger than the lower number, then the number is greater than 1, so you need to simplify the number by dividing the lower from the upper.

So, -5/3 = -1.66 or

      -5/3 = -1 2/3

Now draw the line numbers and find the spot, the number -1,66 will be   between -1 and -2

(-4)---(-3)---(-2)--(-5/3)--(-1)---0----1----2----3

Approved by eNotes Editorial Team
An illustration of the letter 'A' in a speech bubbles

I can't draw a great number line for you, so hopefully I can explain it really simply.

First, you must simplify 5/3 either to a mixed number or a decimal.  5/3 is the same thing as 1 and 2/3, or, if you divide the top number by the bottom number, you get 1.66.

Now, simply find the spot on the left side of the number line (because this is a negative number) that is at about 1 and 2/3... it is 2/3 of the way between negative 1 & 2.

 

-3          -2          -1          0          1          2...
...                X

Approved by eNotes Editorial Team