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If it's cold outside, the temperature might be a negative number.

Negative Numbers 2 (Medium)

Negative numbers are found in science, weather, and finance. In 11 Plus Maths, they help students understand numbers below zero and how they affect calculations.

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Fascinating Fact:

Negative numbers help scientists measure space temperatures, some parts of space are colder than minus two hundred and seventy degrees Celsius, almost absolute zero.

In 11 Plus Maths, negative numbers are used to describe positions, temperatures, and movements below zero. Learning how to add, subtract, multiply, and divide them strengthens number sense and problem-solving skills.

  • Absolute Zero: The lowest possible temperature, where all molecular motion stops, measured at -273°C.
  • Number Line: A straight line with numbers placed in order, used to show positive and negative values.
  • Minus Sign: The symbol (?) used to show a negative value or subtraction.
How do scientists use negative numbers?

Scientists use negative numbers to record temperatures below zero and to show direction in physics and chemistry experiments.

What happens when you subtract a negative number?

Subtracting a negative number is the same as adding. For example, 4 - (-2) equals 6.

How can a number be smaller than zero?

Numbers smaller than zero represent amounts less than nothing, such as debts, losses, or freezing temperatures.

1 .
What is the correct answer to the given calculation?
-12 - 8 = ?
0
20
-19
-20
12 + 8 = 20, so -12 - 8 = -20
2 .
Which of the following expressions is wrong?
-7 < 74
74 > -7
74 < -7
7 > -74
Negative numbers are always less than positive ones, so 74 is of course greater than -7
3 .
If the temperature is 5 degrees above zero, then falls by 8 degrees, what is the new temperature?
0⁰
-5⁰
-3⁰
3⁰
You could break this up to make it easier:
5 - 5 = 0, and 0 - 3 = -3
4 .
What is the correct answer to the given calculation?
-16 + 24 - 8 = ?
0
32
-32
-8
-16 + 24 is the same as 24 - 16, which equals 8. Then subtract 8 to give 0
5 .
What is the correct answer to the given calculation?
3 - 17 + 4 + -2 = ?
-10
-12
-14
-16
You could group the positive and negative numbers together:
3 - 17 + 4 + -2 = (-17 + -2) + (3 + 4) = -19 + 7 = -12
6 .
Which of the following expressions is correct?
-7.5 < -8
-7 > -6
0.5 < -0.5
-1.75 > -1.8
With negative numbers, the higher they are the lower: 1.8 is greater than 1.75, but -1.8 is less than -1.75
7 .
Which of the following expressions is wrong?
0 < -1
1 > 0
-1 > -2
2 > -4
Zero falls between positive and negative numbers, so it is greater than negatives but less than positives
8 .
What is the correct answer to the given calculation?
11 - 18 + 7 - -4 = ?
0
4
-1
-4
11 - 18 + 7 - -4 is the same as (11 + 7) - 18 - -4 = 18 - 18 - -4 = 0 - -4 = 4
When subtracting a negative number, it's the same as adding a positive one
9 .
Which of the following expressions is correct?
100 < -100
-10 > 10
10 > -10
-100 > 100
Remember: positive numbers are always greater than negative ones
10 .
What happens if you add a negative number to a positive number?
It's the same as taking away a positive number
It's the same as adding a positive number
It's the same as adding zero
It's impossible
Adding a negative is the same as taking a positive:
5 - 2 = 3, and 5 + -2 = 3
Author:  Frank Evans (Specialist 11 Plus Teacher and Tutor)

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