Practice Ordering Numbers in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Ordering numbers is the process of arranging numbers in sequence from smallest to largest (ascending order) or largest to smallest (descending order). To order numbers, compare them using place value, common denominators, or convert to the same form (e.g. all decimals).

Numbers live on a lineβ€”you can always put them in order from left to right.

Example 1

easy
Arrange from least to greatest: \frac{1}{2}, 0.3, \frac{3}{4}, 0.65.

Example 2

medium
Order from greatest to least: -\frac{1}{2}, -0.6, 0, -\frac{1}{3}.

Example 3

medium
Order from least to greatest: \frac{3}{8}, 0.4, \frac{1}{3}, 0.375.

Example 4

easy
Write three integers in order such that each is exactly 5 less than the previous.

Example 5

medium
Insert a rational number between \frac{2}{5} and \frac{3}{5}.