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Negative Numbers

Order of Operations (BIDMAS/BODMAS)

What are negative numbers?

  • Negative numbers are any number less than zero
  • They appear in lots of places from numerical calculations to algebra
  • You might come across them in real-life problems such as temperature or debt

What are the rules for working with negative numbers?

  • When multiplying and dividing with negative numbers
    • Two numbers with the same sign makes a positive
      • e.g and 
    • Two numbers with different signs makes a negative
      • e.g.  and
    • For multiplication and division, it’s often easier to calculate ignoring any signs, then making a decision about whether the answer should be positive or negative
  • When adding and subtracting with negative numbers
    • Subtracting a negative is the same as adding the positive number
      • e.g.
    • Adding a negative is the same as subtracting the positive number
      • e.g.

Exam Tip

  • It can help to think of negative numbers as temperature or hot and cold air
  • Be super careful to remember the rules when adding, subtracting, multiplying and dividing with negatives
  • Your calculator isn’t always as clever as you think… you might need to use brackets to make sure it knows a number is negative e.g.

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