Ordering integers means arranging integers either in ascending order or descending order. The integer is the positive numbers, negative numbers, and zero. The integers are compared and ordered on a number line from the least to highest and highest to least. Students who are in 6th grade math can get useful details like definitions and solved examples on integers order in the following sections.
Do Refer:
Integers – Definition
Integers are the set of whole numbers and their opposite numbers. The three types of integers are positive integers, negative integers, and zero. Integers that are greater than zero are positive integers and these are arranged on the right side of 0 on the number line. Negative integers are the integers that are lesser than zero and these are placed on the left side of 0 on the number line. Zero is neither positive nor negative. Integers are denoted by Z= { . . -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, . .}
Ordering Integers on the Number Line
We can find the order of integers using the number line. On a number line, the integers on the left side of 0 are negative integers and they are arranged in ascending order from left to right. The numbers on the right side of 0 are positive numbers and they are arranged in ascending order from left to right. So, integers are arranged in ascending order on the number line.
In the above figure, the integers -5 to 6 are placed from lowest to the highest from left to right. So, the order of integers is -5 < -4 < -3 < -2< -1 < 0 < 1 < 2 < 3 < 4 < 5 < 6.
Comparison of Integers
We can compare two integers at a time. The symbols used to compare integers are >, <, and =. If the value of the first integer is more than the second integer, then > symbol is used. When two integers have the value, then = symbol is used, otherwise < symbol is used.
The facts about comparing the integers are given here:
- The order of integers on the left side of the number line is smaller than 0 and on the right side of the number line, are greater than 0.
- All positive integers are greater than all negative integers.
- The more the integer is negative, the more its value is smaller
- The more the integer is positive, the more its value is greater.
Solved Examples on Ordering of the Integers
Example 1:
Arrange the following integers in ascending order.
(i) -5, 0, 3, -8, 6, 4
(ii) 8, 2, 5, 15, -1, -3
Solution:
The number line for the integers is given here.
(i) The ascending order of given integers is -8, -5, 0, 3, 4, 6
(ii) The ordering integers from least to greatest is -3, -1, 2, 5, 8, 15
Example 2:
Arrange the following integers in descending order.
(i) 3, -1, 0, -5, 7, 9, 8
(ii) 2, -2, 5, -8, 0, -6, 3
Solution:
(i) The order of given integers from lowest to the greatest is 9, 8, 7, 3, 0, -1, -5
(ii) The given integers order in descending order is 5, 3, 2, 0, -2, -6, -8.
Frequently Asked Question’s on Comparing Integers
1. How to compare and order integers?
Compare any two integers and place < or > or = symbol between them. Based on the comparison symbol between the integers, they can be placed either from lowest to greatest or greatest to the lowest sequence.
2. What are the rules for placing integers in order?
The rules of integers are positive integers have the highest value than negative integers, zero is not a positive or negative integer. The more negative integer has a smaller value. By considering these rules, one can arrange the integers in order.
3. What is the meaning of ordering integers?
Integers ordering is a sequence in which integers are arranged. It is the arrangement of integer numbers in descending or ascending order.
4. What are the 2 types of ordering integers?
The two types of ordering and comparing integers are ascending order and descending order.