Explore zero pairs and opposites: (5) + (-5)

- Bring out 5 positive tiles.
- Bring out 5 negative tiles.
- Make zero pairs and eliminate them.
(5) + (-5) = _

The sum of _ equals zero.

1 answer

Let's break down the expression \( (5) + (-5) \) using zero pairs and opposites.

  1. Bringing out tiles:

    • You start with 5 positive tiles: ☀️☀️☀️☀️☀️
    • Then, you bring out 5 negative tiles: 🌑🌑🌑🌑🌑
  2. Making zero pairs:

    • Now, you can pair each positive tile with a negative tile to create zero pairs. Each pair (one positive and one negative tile) equals zero:
      • ☀️ + 🌑 = 0
    • So, you can pair them like this:
      • (☀️🌑) (☀️🌑) (☀️🌑) (☀️🌑) (☀️🌑)
  3. Eliminating zero pairs:

    • Since each of the pairs equals zero, you can eliminate them. After cancellation, you have no tiles left.
    • Hence, the total becomes 0.

Therefore, we can conclude: \[ (5) + (-5) = 0 \] The sum of \( 5 + (-5) \) equals zero.

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