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Negative numbers show how maths can go below zero. In 11 Plus Maths, they appear in temperature, money, and real-life scenarios involving gains and losses.
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Fascinating Fact:
Negative numbers appear in elevators, bank accounts, and thermometers, three places that can make your stomach drop.
In 11 Plus Maths, pupils use negative numbers to understand changes, such as temperatures dropping below zero or debts increasing. Learning how to add and subtract these values helps build confidence with real-world maths.
Key Terms
Integer: A whole number that can be positive, negative, or zero.
Temperature Scale: A numerical system used to measure how hot or cold something is, such as Celsius or Fahrenheit.
Opposite Number: A number that is the same distance from zero but in the opposite direction, like -5 and +5.
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:
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:
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:
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
Author:
Frank Evans (Specialist 11 Plus Teacher and Tutor)