Integers on a Number Line

Representation of Integer on a Number Line

Integers are whole numbers that can be positive, negative, or zero. They can be represented on a number line by placing them at equally spaced intervals. The number 0 is placed at the center of the number line, and the positive integers are placed to the right of 0, and the negative integers are placed to the left of 0.

For example, here is a Representation of integers on a Number Line that represents the integers from -6 to 6:

The numbers on this number line are evenly spaced, with each number being one unit away from the next. The positive integers are to the right of 0, and the negative integers are to the left of 0.

We can use a Integer number line to represent any mathematical operation involving integers. For example, let’s add 2 and 3.

Question: -1. Additon 2 + 3 = ?

Solution: 2+3

1. Begin with the first number, which is 2. Mark the starting point on the number line at 2.
2. For addition: Move right on the number line, and for subtraction: Move left.
3. The second number to be added to 2 is 3.
4. Jump right on the number line 3 times.
5. By the final jump, we reach the number 5. This is the answer.

Here is a diagram of this operation on a number line:

Hence, Answer for 2 + 3 = 5

Question-2 : Subtraction 5 – 7 = ?

Solution: For 5 – 7

1. Begin with the first number, which is 5. Mark the starting point on the number line at 5.
2. For addition: Move right on the number line, and for subtraction: Move left.
3. The second number to be subtracted to 5 is -7.
4. Jump left on the number line 7 times.
5. By the final jump, we reach the number -2 . This is the answer.

Here is a diagram of this operation on a Integers on number line:

Hence Answer for 5 – 7 = -2