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# Negative Numbers (Medium)

Numbers that are below zero are known as negative numbers. This is the first of our quizzes on negative numbers. If you think there is no use for negative numbers, think again: when the temperature falls below zero, it is recorded as a negative temperature, e.g. -5°C. If you owe money to the bank, your balance becomes negative.

To make it easier for you we've added number lines to all the questions. It might be helpful if you use your pencil or pen to count along the number line - and above all, remember to go the correct way!

Okay! Be positive and do this 11-plus Maths quiz.

1.
Use this portion of the NUMBER LINE to help you do these questions:

... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10...

Which of the following expressions is wrong?
-3 < 3
-3 > 3
3 > -3
-3 < 0
Numbers to the left of zero are negative, but numbers to the right of zero are positive. As you move to the right along the number line, the numbers increase in size, but as you move to the left along the number line, the numbers decrease in size. In this case -3 is to the left of 3, so -3 < 3
2.
Use this portion of the NUMBER LINE to help you do these questions:

... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10...

Starting at -2 on the number line, what number do you come to if you subtract 6?
4
-4
8
-8
Subtracting six means that you move to the left by six units: this brings you to -8
3.
Use this portion of the NUMBER LINE to help you do these questions:

... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10...

If the temperature is ten degrees below zero, how would this be written?
0+10°C
0-10°C
10°C
-10°C
Any number below zero is written with a minus sign in front of it
4.
Use this portion of the NUMBER LINE to help you do these questions:

... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10...

Which of the following expressions is correct?
0 > -1
0 < -1
1 < -1
-1 > 1
In this case 0 is to the right of -1, so 0 > -1
5.
Use this portion of the NUMBER LINE to help you do these questions:

... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10...

Which of the following expressions is correct?
-8 > -10
-8 < -10
8 > 10
-8 > 10
In this case -8 is to the right of -10, so -8 > -10
6.
Use this portion of the NUMBER LINE to help you do these questions:

... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10...

Starting at -3 on the number line, what number do you come to if you subtract 6, then add 9, and finally subtract 6?
-6
0
6
3
Subtracting 6 means that you move to the left by 6 units: this brings you to -9. adding 9 means that you move to the right by 9 units: this brings you to 0. Subtracting 6 means that you move to the left by 6 units: this brings you to -6
7.
Use this portion of the NUMBER LINE to help you do these questions:

... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10...

Starting at -4 on the number line, what number do you come to if you add 6?
10
-2
2
-10
Adding six means that you move to the right by six units: this brings you to 2
8.
Use this portion of the NUMBER LINE to help you do these questions:

... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10...

Starting at 5 on the number line, what number do you come to if you subtract 5, then add 4, and finally subtract 8?
14
12
-4
-2
Subtracting 5 means that you move to the left by 5 units: this brings you to 0. adding 4 means that you move to the right by 4 units: this brings you to 4. Subtracting 8 means that you move to the left by 8 units: this brings you to -4
9.
Use this portion of the NUMBER LINE to help you do these questions:

... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10...

Starting at 1 on the number line, what number do you come to if you subtract 3, then add 7, and finally subtract 4?
1
0
-1
9
Subtracting 3 means that you move to the left by 3 units: this brings you to -2. adding 7 means that you move to the right by 7 units: this brings you to 5. Subtracting 4 means that you move to the left by 4 units: this brings you to 1: you are back where you started!
10.
Use this portion of the NUMBER LINE to help you do these questions:

... -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10...

Which of the following expressions is wrong?
4 > 3
-4 > -3
-4 < -3
4 > -3
In this case -4 is to the left of -3, so -4 < -3
Author:  Frank Evans