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Question
in the new wizards clash video game, you can earn magic points by solving tricky puzzles. you can also spend magic points to cast spells. the table shows how much your magic points change with different actions.
| action | magic points |
|---|---|
| solve a goblins riddle | 25 |
| cast a shapeshifting spell | -8 |
| solve a password puzzle | 15 |
which action causes the greatest change in magic points?
- casting an invisibility spell
- solving a goblins riddle
- casting a shapeshifting spell
Step1: Find absolute values
To determine the greatest change, we find the absolute value of each magic points change.
- For casting an invisibility spell: $|-10| = 10$
- For solving a goblin’s riddle: $|25| = 25$
- For casting a shapeshifting spell: $|-8| = 8$
- For solving a password puzzle: $|15| = 15$
Step2: Compare absolute values
Now we compare these absolute values: $25 > 15 > 10 > 8$.
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