Representation of Integers on a Number Line with Examples | How to Represent Integers on a Number Line?

A number line is represented into three parts. Negative Integers, Positive Integers, and zero. (Zero is neither positive nor negative). Negative numbers are represented to the left side of the zero and Positive numbers are represented to the right side of the zero. A number line can be extended to infinity on both sides. A number is always divided into equal parts. The number lines look like the image below.

 

Read More: Representing Fractions On Number Line

How to Represent Integers on a Number Line?

We need to follow few steps to represent any number on a number line. They are given in the following fashion

  1. We need to draw the number line.
  2. Divide number line into equal parts to right and left.
  3. Now write negative numbers to the left side of zero.
  4. Write positive numbers to the right side of zero.
  5. Zero will be in the middle.

You have to know each number is represented by a unique point on a number line.

Mark the following integers on a Number Line

Example 1:

In the example, we are going to represent the positive number 2 on the number line.

Solution:

As we already know positive numbers are represented on the right side of the zero. So now to represent the positive number 2 we put a shadowed circle around the number two on the number line as shown in the below image.

Example 2:

Represent the negative integer 3 on the number line?

Solution:

We can follow the same steps as before.

We will draw the number line as we know each number is represented by a unique point on the number line.

As we already know negative numbers are represented on the left side of the zero. So now to determine the negative three on the number line, we will put a shadow circle around it, as shown in the below image.

Example 3:

Represent the integer 0 (Zero) on the number line?

Solution:

We will do the same as we did before and notice that the number zero is in the middle of the number line. So we need to put a shadowed circle around the number on the number line as shown in the image below.

Now we have learned how to represent an integer on the number line.

FAQs on Representing Integers on a Number Line

1. What is the symbol for integer?

The letter Z is the symbol used to represent any integer.

2. Is 0 an integer?

All the whole numbers are considered integers. Since 0 is a whole number 0 can also be considered as an integer.

3. What is the smaller integer?

Zero is the smallest integer.

4. What is the largest integer?

The number 2,147,483,647 is the biggest positive integer.

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