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Tell whether or not the given everyday activities are commutative. Putting on your shirt and putting on your jacket Are the given activities commutative? No Yes

Ask by Pritchard Edwards. in the United States
Mar 08,2025

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Answer

Yes, putting on your shirt and jacket are commutative because wearing both items results in the same outcome regardless of the order.

Solution

To determine if the activities of putting on a shirt and putting on a jacket are commutative, we need to consider the order in which these activities are performed. 1. **Putting on your shirt first, then your jacket**: This is a common sequence and results in you wearing both items. 2. **Putting on your jacket first, then your shirt**: This sequence can also result in you wearing both items, but it may be less practical or comfortable, as the jacket might be over the shirt. In this case, the end result (wearing both the shirt and jacket) is the same regardless of the order, but the practicality and comfort of the actions can differ. However, in strict mathematical terms, commutative operations are those where the order of the operations does not affect the outcome. Since the outcome of wearing both items is the same regardless of the order, we can conclude that: **Yes, the activities are commutative.**

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Bonus Knowledge

When you put on your shirt first, then your jacket, you're good to go! But if you decide to do it the other way around, putting on the jacket first, you'll soon realize it can be quite tricky and uncomfortable. This means the order in which you wear these items definitely matters—hence, it's not commutative! Think about your morning routine: if you mistakenly put on your shoes before your pants, you might find yourself in an awkward situation. It's a fun reminder that not all activities allow for that “swap and go” approach—sometimes you've just got to stick to the winning order for a smoother day!

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