1. Problem statement: Represent the magnitude of the number -8 using tiles as in the picture.
A red tile denotes a negative unit and a yellow tile denotes a positive unit.
2. Formula and important rules: The magnitude (absolute value) of a number $x$ is $|x|$ which equals the distance of $x$ from 0 on the number line.
Therefore $|x|$ is always nonnegative.
Important rule: The color indicates the sign but does not affect the magnitude.
3. Calculation: Compute the absolute value $|-8|$.
We evaluate: $|-8| = -( -8 ) = 8$.
4. Tile representation: Because -8 is negative we use 8 red tiles.
Arrange them in two columns of 4 to match the picture with 4 red dots in the left column and 4 red dots in the right column.
5. Final answer: The magnitude of -8 is 8.
Thus the picture correctly shows 8 red tiles representing $|-8| = 8$.
Negative Magnitude 020Aee
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