GRAPH INTEGERS ON HORIZONTAL AND VERTICAL NUMBER LINES

Horizontal Number Line :

Draw a line horizontally and mark some points at equal distance on it as shown in the figure.

Mark a point as zero on it. Points to the right of zero are positive integers and are marked +1, +2, +3, etc. or simply 1, 2, 3 etc.

Points to the left of zero are negative integers and are marked –1, –2, –3 etc. In order to mark –6 on this line, we move 6 points to the left of zero.

Vertical Number Line :

Draw a line vertically and mark some points at equal distance on it as shown in the figure.

Mark a point as zero on it. Points to the upward of zero are positive integers and are marked +1, +2, +3, etc. or simply 1, 2, 3 etc.

Points to the upward of zero are negative integers and are marked –1, –2, –3 etc. In order to mark – 6 on this line, we move 6 points to the left of zero.

Example 1 :

The below vertical number line, representing integers. Observe it and locate the following points :

(a) If point D is + 8, then which point is – 8?

(b) Is point G a negative integer or a positive integer?

Solution :

(a) To find the position of the number -8, first let us mark down the points vertically on the given number line.

By marking the point on the given number line, we come to know that -8 is at the position F.

(b) By observing the number line "G" is below 0. Hence it is negative.

Example 2 :

Following is the list of temperatures of five places in India on a particular day of the year.

Plot the name of the city against its temperature and find the coolest place.

Solution :

From the above horizontal number line, it is clear that New York is the coolest place.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.