Graph integers on horizontal and vertical number lines :
Before going to know about how to graph integers on horizontal and vertical lines, first we have to know about what is horizontal number line and what is vertical number line.
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.
Let us see some example problems to understand how to graph the given integers on horizontal and vertical number lines.
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.
Place |
Temperature |
New york Chicago Boston |
10°C below 0°C 2°C below 0°C 30°C above 0°C |
Plot the name of the city against its temperature.
From this we come to know that New york is the coolest place.
After having gone through the stuff given above, we hope that the students would have understood "Graph integers on horizontal and vertical number lines".
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