ORDERING POSITIVE AND NEGATIVE INTEGERS

We use number line to order positive and negative integers.

That is, to order the positive and negative integers, we have to locate them on the number line and mark them. Then, write the integers from left to right to list them in order from least to greatest.  

Examples

Example 1 :

Order the integers -4 and 4 from least to greatest. 

Solution : 

Let us locate the two integers -4 and 4 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

-4, 4

Example 2 :

Order the integers -1 and 1 from least to greatest. 

Solution : 

Let us locate the two integers -1 and 1 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

-1, 1

Example 3 :

In 2010, Sacramento, California, received 23 inches in annual precipitation. In 2011, the city received 17 inches in annual precipitation. In which year was there more precipitation ?

Solution : 

Locate the two integers 23 and 17 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

17, 23

Since 23 is to the right of 17 on the number line.

This means that 23 is greater than 17.

Hence, there was more precipitation in 2010.

Example 4 :

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.

Solution :

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

Example 5 :

Order the integers from least to greatest

2, -7, 9, 8, -4, 0, 11, -8

Solution : 

As we have done in the above problems, if we locate and mark the given integers on a number line, we get the following order from least to greatest. 

–8, –7, –4, 0, 2, 8, 9, 11

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