Positive and negative integers :
Positive numbers are numbers greater than 0. Positive numbers can be written with or without a plus sign.
For example, 3 is the same as +3. Negative numbers are numbers less than 0. Negative numbers must always be written with a negative sign.
Two integers are opposites if, on a number line, they are the same distance from 0 but on different sides of 0. For example, 5 and -5 are opposites. 0 is its own opposite.
The above situation is illustrated in the picture given below.
Example 1 :
Compare the integers -4 and 4
Let us locate the two integers -4 and 4 on a number line and mark them.
Here, the positive integer 4 comes to the right of -4.
Therefore "4" is greater than "-4"
And -4 comes to the left of 4.
Therefore "-4" is smaller than "4"
Example 2 :
Compare the integers -1 and 1
Let us locate the two integers -1 and 1 on a number line and mark them.
Here, the positive integer 1 comes to the right of -1.
Therefore "1" is greater than "-1"
And -1 comes to the left of 1.
Therefore "-1" is smaller than "1"
Example 1 :
Order the integers 1, -5, 5, 4, 0, -2, -1, 3 from least to greatest.
Let us locate the integers 1, -5, 5, 4, 0, -2, -1, 3 on a number line and mark them.
From the above number line, write the integers from left to right to list them in order from least to greatest.
Thus, we get
-5, -2, -1, 0, 1, 3, 4, 5
Example 2 :
John recorded the following golf scores during his first week at a golf academy. Negative numbers represent scores below par, a standard score. In golf, a lower score beats a higher score.
Graph John’s scores on the number line, and then list the numbers in order from least to greatest.
Step 1 :
Graph the scores on the number line.
Step 2 :
Read from left to right to list the scores in order from least to greatest.
The scores listed from least to greatest are
–5, –3, –2, –1, 0, 3, 4
After having gone through the stuff given above, we hope that the students would have understood "Negative and positive negative integers".
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