Negative Numbers

Maths: Edexcel A Level Pure Maths, topic 1.1.3

Negative Numbers

Negative numbers are shown with a minus sign in front (e.g. -3). Negative numbers are less than zero while positive numbers are greater than zero.

Number line

Number line

  • The number line above shows the first three negative numbers (-1, -2 and -3) and the first three positive numbers (1, 2 and 3).
  • Positive numbers are always greater than negative numbers.
  • 0 is called the origin and is not positive or negative.
Adding negative numbers

Adding negative numbers

  • Adding a negative number is the same as subtracting a positive number.
  • 5 + (-3) = 5 - 3 = 2
Subtracting negative numbers

Subtracting negative numbers

  • Subtracting a negative number is the same as adding a positive number.
  • 5 - (-3) = 5 + 3 = 8
Multiplying by negative numbers

Multiplying by negative numbers

  • Positive × positive = positive
  • Negative × negative = positive
  • Positive × negative = negative
Dividing by negative numbers

Dividing by negative numbers

  • Positive ÷ positive = positive
  • Negative ÷ negative = positive
  • Positive ÷ negative = negative

Test yourself on Negative Numbers

  • What is 7 - (-5)?

  • What is (-3) × (-7)?

  • What is (4) + (-9)?

  • What is 8 × (-3)?

  • Which of the following are correct?

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