The question is like distributive, or associative or communitve have u ever heard of them before?
yes, I have heard of them.
I see no property that is demonstrated. I do see some properties that can be used to simplify.
This is basic rules. Here is a link:
http://www.stonewallcs.com/flashcards/content/Search_detail.php?id=82¬ecard=yes
Yes, I have heard of the terms distributive, associative, and commutative. These are properties or rules that are commonly used in mathematics, specifically in the context of operations such as addition, subtraction, multiplication, and division.
1. Distributive Property: This property applies to both addition and multiplication. It states that if you have an operation being performed on a group of numbers within parentheses, and that group is being multiplied or added to another number or expression outside the parentheses, then you can distribute the operation to each term inside the parentheses.
For example:
- Addition: a * (b + c) = (a * b) + (a * c)
- Multiplication: a * (b + c) = (a * b) + (a * c)
This property is particularly useful when simplifying algebraic expressions or performing calculations involving multiple terms.
2. Associative Property: This property applies to addition and multiplication as well. It states that when you have multiple operations of the same type (either addition or multiplication) with three or more numbers, you can group them differently without changing the result.
For example:
- Addition: (a + b) + c = a + (b + c)
- Multiplication: (a * b) * c = a * (b * c)
The associative property allows us to rearrange the parentheses or grouping symbols used in an expression without impacting the final outcome.
3. Commutative Property: This property applies to both addition and multiplication. It states that the order of the numbers does not affect the result of the operation.
For example:
- Addition: a + b = b + a
- Multiplication: a * b = b * a
The commutative property allows us to swap the places of two numbers being added or multiplied without changing the sum or product.
These properties are fundamental concepts in mathematics and are used extensively in various fields, including algebra, calculus, and number theory.