In ordering integers we will learn how to order the integers on a number line.
An integer on a number line is always greater than every integer on its left. Thus, 3 is greater than 2, 2 > 1, 1 > 0, 0 > 1, 1 > 2 and so on.
Similarly, an integer on a number line is always lesser than every integer on its right. Thus, 3 is less than 2, 2 < 1, 1 < 0, 0 < 1, 1 < 2 and so on.
(i) Every positive integer is greater than every negative integer.
(ii) Zero is less than every positive integer and is greater than every negative integer.
(iii) The greater the number, the lesser is its opposite.
i.e., 8 is greater than 5, but 8 is less than 5; similarly, 9 > 15 or, 9 < 15 and so on
(iv) The lesser the number, the greater is its opposite.
i.e., 6 is less than 7, but 6 is greater than 7; similarly, 8 < 5 or 8 > 5 and so on.
Note: The symbol () is used to denote a negative integer as well as for subtraction.
(i) The temperature at an Everest is 10°C. Here the symbol () indicates the negative integer (10) and no subtraction is involved.
(ii) On the other hand, 23 – 7 indicates the subtraction of 7 from 23.
Solved examples on ordering integers:
1. Arrange the integers from greater to lesser:
(i) 9, 2, 3, 0, 5, 7, 7, 1
(ii) 11, 17, 2, 2, 6, 15, 0, 1
(iii) 12, 21, 18, 14, 5, 1, 1, 10
Solution:
(i) 9, 7, 3, 0, 1, 2, 5, 7
(ii) 17, 2, 1, 0, 2, 6, 11, 15
(iii) 14, 12, 10, 1, 1, 5, 18, 21
2. Arrange the integers from lesser to greater:
(i) 0, 4, 4, 9, 10, 7, 12, 13
(ii) 14, 7, 25, 17, 20, 5, 9, 3
(iii) 6, 4, 18, 21, 29, 8, 16, 19
Solution:
(i) 13, 10, 7, 4, 0, 4, 9, 12
(ii) 25, 17, 14, 9, 3, 5, 7, 20
(iii) 18, 16, 8, 6, 4, 19, 21, 29
Numbers Page
6th Grade Page
From Ordering Integers to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.