An integer is a number that doesn’t have decimal or fractional parts. The set of positive and negative numbers including zero are called integers. A number line is a horizontal straight line in which the integers are placed at equal intervals. Both ends of the number line extend indefinitely at both ends. This article is helpful for the 6th-grade math students to understand the math concept i.e number line easily. Check the steps on how to represent integers on the number lines, solved examples.
Do Refer:
What is a Number Line?
A number line is a graphical representation of numbers on a straight horizontal line. The numbers are placed at equal intervals in a number line. Mainly it can be used for comparing and ordering the numbers. We can represent all real numbers on a number line easily. Using the number line, you can also perform arithmetic operations of numbers such as addition, subtraction, multiplication, and division.
Integers – Definition
An integer is a number with no fractional or decimal part, from the set of positive, negative numbers including zero. The integers are represented by the symbol Z. The three types of integers are zero, positive integers, and negative integers. The set of integers are Z = {. . . -7, -6, 5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, . . . . . }.
How to Represent Integers on the Number Line?
Have a look at the simple steps for representing integers on the number line.
- Draw a horizontal line and both ends of the line must extend indefinitely.
- Place vertical lines at equal intervals on that line.
- Label one interval as zero.
- Keep positive integers on the right side of the zero, negative integers on the left side of zero.
- The opposite number like 2, -2 should be at an equal distance from zero.
The above gives the exact explanation for integers and the number line. In the following sections, you will get the example questions.
Questions on Integers and the Number Line
Question 1:
Represent the set of integers {-4, 0, 2, 5} on the number line.
Solution:
Mark the given set of integers on the number line.
Question 2:
Write the opposite integer of each of the following:
(i) -5
(ii) 6
(iii) 1
(iv) 23
(v) 108
Solution:
(i) 5
(ii) -6
(iii) -1
(iv) -23
(v)-108
Question 3:
Write all the integers between the following.
(i) -5 and 5
(ii) 2 and 8
(iii) -7 and 10
Solution:
By observing the above-number graph, we can easily solve this question.
(i) -4, -3, -2, -1, 0, 1, 2, 3, 4
(ii) 3, 4, 5, 6, 7
(iii) -6, -5, -4,-3,-2,-1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
FAQ’s on Number Line and the Integers
1. Why do we use the number line?
A number line is used to represent integers and compare them. It can also be used to perform simple arithmetic operations.
2. What is a number line example?
A number is nothing but the horizontal straight line that represents integers on it at regular intervals. It has zero in the middle with positive and negative integers on both sides.
3. What are some real-life examples of the number line?
Some of the examples of number lines are ruler, protractor, barometer, pressure gauge, scales, micrometer, and so on.
4. How many numbers can be represented in a number line?
A number line extends indefinitely on both sides. So, we can represent indefinite numbers on a number line.