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Opposite Numbers

Mathematics Grade 6 Difficulty 2/5

Beginning of the lesson

Opposite Numbers (Противоположные числа)

Opposite numbers are like mirror images on a number line — they are the same distance from zero but on opposite sides!

📖 What Are Opposite Numbers?

Definition: Two numbers are opposite if they are the same distance from zero on the number line, but on different sides.
  • +5 and −5 are opposites
  • +7 and −7 are opposites
  • +100 and −100 are opposites

They differ only by their sign!

✏️ Mathematical Notation

The opposite of a number a is written as −a

Number Opposite Written as
+5 −5 −(+5) = −5
−3 +3 −(−3) = +3
+8 −8 −(+8) = −8
Tip: Use parentheses for clarity: −(−8) = +8

📊 Opposite Numbers on the Number Line

Opposite numbers are symmetric about zero — they are mirror images of each other!

Interactive visualization — available in the full lesson
Blue point (+5): 5 units to the RIGHT of zero
Red point (−5): 5 units to the LEFT of zero

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In the full lesson

  • The complete explanation
  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 129
  • AI tutor that answers questions about the topic
  • Progress tracking for students, parents and teachers