Ordering Numbers Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

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

Solution

  1. 1
    Choose a starting integer, say 20. Subtract 5 each time: 20,15,1020, 15, 10.
  2. 2
    Check: 20>15>1020 > 15 > 10, each step is −5-5.

Answer

20,  15,  10 (or any arithmetic sequence with difference −5)20,\; 15,\; 10 \text{ (or any arithmetic sequence with difference } -5\text{)}
Any arithmetic sequence with common difference −5-5 gives a decreasing ordered list. The choice of starting point is free. Ordering numbers in arithmetic sequences is a natural application of the ordering relation.

About Ordering Numbers

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).

Learn more about Ordering Numbers →

More Ordering Numbers Examples

Example 1 easy

Arrange from least to greatest: [formula], [formula], [formula], [formula].

Example 2 medium

Order from greatest to least: [formula], [formula], [formula], [formula].

Example 3 medium

Order from least to greatest: [formula], [formula], [formula], [formula].

Example 5 medium

Insert a rational number between [formula] and [formula].

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