Elementary group
An elementary group is a special kind of group that is like a clubhouse for numbers. A group is a bunch of numbers that follow some rules for playing together. In an elementary group, the rules are very simple and easy to understand, just like how we play simple games with our friends.
In this clubhouse, the numbers play together by following three rules:
1. They have to be able to add and subtract easily, just like we do with our fingers.
2. There is one special number called the identity element, which is like the "base" of the game. It's like a starting point that helps the other numbers know what to do.
3. For every number in the group, there is another special number called the inverse element, which is like their "best friend". When these two numbers play together, they always add up to the identity element.
When the numbers follow these three rules, they can have lots of fun playing together and creating different patterns. It's a very simple and easy way for numbers to have fun and play with their friends!
In this clubhouse, the numbers play together by following three rules:
1. They have to be able to add and subtract easily, just like we do with our fingers.
2. There is one special number called the identity element, which is like the "base" of the game. It's like a starting point that helps the other numbers know what to do.
3. For every number in the group, there is another special number called the inverse element, which is like their "best friend". When these two numbers play together, they always add up to the identity element.
When the numbers follow these three rules, they can have lots of fun playing together and creating different patterns. It's a very simple and easy way for numbers to have fun and play with their friends!
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