More on Adding and Subtracting

Here are some examples involving temperature which illustrate the use of positive and negative integers.

Example 1

The maximum temperature in Canberra on a day during winter was $3$ degrees Celsius.

The temperature dropped $5$ degrees to its minimum.

What was the minimum temperature in Canberra that day?

$3 – 5 = ?$

Directed number line

$3 – 5 = 2$ below zero

$3 – 5 = –2$

Example 2

The minimum temperature in Canberra on another day in winter was $–2$ degrees Celsius.

The temperature rose $4$ degrees to its maximum.

What was the maximum temperature in Canberra that day?

$– 2 + 4 = ?$

Directed number line

Example 3

The temperature in Perisher valley one evening was ­$-4$ degrees Celsius. Overnight the temperature fell $2$ degrees Celsius. What was the temperature in the morning?

$– 4 – 2 = ?$                                 Did you get $– 6?$

Try the following questions for yourself.

$6-7=$
$-7+6=$
$3-12+10=$
$-20+5=$
$-10-20=$