Compare and order rational numbers

Key Notes :

Compare numbers

=When two values are equal, we use the “equals” signexample:
2+2 = 4
<When one value is smaller than another, we can use a “less than” sign.example:
3 < 5
>When one value is bigger than another, we can use a “greater than” signexample:
9 > 6

Comparison of rational numbers

Points to keep in mind while comparing rational numbers
1. Every negative rational number is less than 0
2. Every positive rational number is greater than 0 
3. Any positive rational number is greater than every negative rational number.
If the denominators of rational numbers are equal, then compare their numerator. 
If the numerator is greater, then the number is greater.

Learn with an example

Which sign makes the statement true?

1/4 ? 1/2

  • >
  • <
  • =

Use a common denominator.

1/4 ? 1/2

1/4 ? 2/4

1/4 is less than 2/4 , so:

1/4 < 2/4

Which sign makes the statement true?

-5/8 ? -1/5

  • >
  • <
  • =

Use a common denominator.

-5/8 ? -1/5

-25/40 ? -8 / 40

Remember that when comparing negative numbers, larger numbers like 25/40 (if you ignore the minus sign) are less than smaller numbers like 8/40. So:

-5/8 < -1/5

Which sign makes the statement true? 1/4 ? 3/4

  • >
  • <
  • =

1/4 is less than 3/4, so:

1/4<3/4

Let’s practice!🖊️