In this section we will see how our number system can be extended to include negative numbers.
Look at the number line below:
The numbers to the left of zero are negative and the numbers to the right of zero are positive.
If we have two numbers, we say that one is less than the other if it is further left on the number line.
For example, "2 is less than 7" because 2 is further left. This can also be written as "2 < 7".
We say that one number is greater than another if it is further right on the number line.
For example, "3 is greater than -5" because 3 is further right. This can also be written as "3 > - 5".
Check for yourself that the following statements are true: | - 2 < 4 | - 6 < - 3 | 5 > - 4 | - 1 > - 7 |
(a) | |||
(b) | |||
(c) | |||
(d) |
Question 1
Look at the temperature scale below:
Question 2
These questions are similar to those in Question 1 but they are about numbers, not temperatures.
Question 3
In this question you need to decide whether one number is greater or less than another number.
For example, if the question said 4 - 2 then you would
put in the > symbol, because 4 > - 2.
Question 4
In this question you need to decide whether each statement is true or false.
For example, the statement 4 > - 3 is TRUE, but the statement - 4 > - 3 is FALSE.
Question 5
In this question you need to type in any integer which could go in the empty box.
For example, if the question said 4 > > - 2
then any of the integers 3, 2, 1, 0 or -1 could fit.