Lesson 6 — Activity 2: Comparing and Ordering Positive and Negative Numbers


Getting Ready



Everyone in Alberta pays attention to the temperature, especially in the winter. If you don't dress properly for the weather you could be in serious trouble. Do you recall a particularly cold winter?


Environment Canada rates January and February the two coldest months in Alberta, with average daytime temperatures ranging from –5 to –15  C and normal low nighttime temperatures ranging from –15 to –25  C.


–25 C is cold. That is 25 degrees Celsius below 0. Any number below 0 is a negative number. Negative numbers are shown with a minus (–) sign in front of them. If the next day, it warmed up 10 degrees, the temperature would show –15 C. –15 C is a higher number that –25 C.


When you are dealing with negative numbers, the closer to 0 the number is, the higher it is. This, of course, is the exact opposite of positive numbers where 25 is higher than 15.


Here are more examples.

Which is the higher temperature: –18 or –19?
Because they are both negative numbers, –18 is closer to 0, so it is the higher temperature.


Which is the higher temperature: –3 or 2?
Because you have one positive number and one negative number, the positive number is higher. 2 degrees Celsius is the higher temperature.                                 


Try This:

          Use this thermometer to think about positive and negative numbers.
                    
 

Which is the higher temperature?
–23 C or –33 C?


Which is the lower temperature? –17 C or 2 C?



–23 C is the higher temperature and –17 C is the lower temperature.


Examining temperatures helps us to understand positive and negative numbers, but they are used in many other situations as well.



Positive and negative numbers are called integers. They are shown with a positive or negative sign. Integers are always compared to zero. For example, –3 (3 less than zero) and +4 (4 more than zero).



You can use a number line to represent integers.



This number line shows integers.

Numbers to the LEFT of zero      Numbers to the RIGHT
are negative numbers.                of zero are positive.

You've already seen how integers are used to describe how warm or cold a temperature is.


Integers are also used in sports:

Look at how integers are used in golf.

To describe golf scores: +2 represents 2 strokes above par; –1 represents 1 stroke below par.




Look at how integers are used in banking.

They are also used in banking:

Integers are used to describe if money is added or taken out of an account.

+$350.00 may appear on your bank statement if $350.00 was added to your account.

–$350.00 may appear if $350.00 was withdrawn from your account.



Comparing Positive and Negative Numbers on Number Lines


Let's compare numbers using a number line:


Comparing numbers using a number line


Try This:


Compare +1 and –5. Which number is less?

Then compare –3 and +2. Which number is greater?



–5 is less and +2 is greater



Images courtesy of www.imagesgoogle.com and K&E Studio


Go to the next page to try a Self-check Activity to further show your understanding of positive and negative numbers.