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Operations with Integers

The same move, counted again

A quiz team starts at 0 points. It loses 3 points in each of 4 rounds. What is the score?

Start at 0.
Step 1 of 5
  1. Start at 0.
  2. First move: 3 left.
  3. Second move: 3 left.
  4. Third move: 3 left.
  5. Fourth move: 3 left. Land on −12.

The score is −12.

Rule: multiplying by a whole number repeats one move that many times. Product — the answer to a multiply.

(−3) × 4 = −12. Four moves, each 3 left, make one long walk. It is 4 × 3 = 12 steps left.

One move, repeated and counted
WrittenStepsProduct
(−3) × 13 left−3
(−3) × 26 left−6
(−3) × 39 left−9
(−3) × 412 left−12
3 × 412 right12

Tap Add one move in the lab. Repeat it until the count is right.

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This track

  1. 0 Start here
  2. 1 Two moves the same way
  3. 2 A move each way
  4. 3 Taking away, another way round
  5. 4 Two dashes on one line
  6. 5 Without the line
  7. 6 Checkpoint: adding and taking away
  8. 7 The same move, counted again
  9. 8 Past the end of the times table
  10. 9 Sharing it out
  11. 10 What zero does
  12. 11 Where we use them
  13. 12 Checkpoint: multiplying, sharing and zero
  14. 13 Zero pairs
  15. 14 The additive inverse
  16. 15 Many numbers, one sign
  17. 16 A number times a bracket
  18. 17 The big picture
  19. 18 Track quiz

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