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PEAZIT Aha card

Negative numbers: movement on the number line

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Adding a positive number moves right; adding a negative moves left. Subtracting a number adds its opposite.

From −3, five steps right take you to 2.
ExpressionMeaning
−3 + 5 = 2Start at −3 and move five places right.
2 − (−4) = 2 + 4Subtracting −4 means adding its opposite +4.
2 + 4 = 6Four places right of 2.

One worked example

  1. −3 + 5 = 2Start at −3 and move five places right.
  2. 2 − (−4) = 2 + 4Subtracting −4 means adding its opposite +4.
  3. 2 + 4 = 6Four places right of 2.

Watch out: The rule “negative times negative is positive” concerns multiplication. For sums, track sizes and directions.

Goal, prerequisites and card origin

What you will learn: Add and subtract signed integers.

What you need first: The number line and numbers left of zero.

An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1

Show connections

Adding a positive number moves right; adding a negative moves left. Subtracting a number adds its opposite.

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