1. a+b = Commutative Property 2. a(btc) = Distributive Property 3 ar(-a)= Inverse Property of addition 9 1x a= Identity Property of multiplication 3 [(a+b) + C = Associative Property ; a (b-c) = Distributive 7 9+0= Identity property of 80xt: Inverse Property of multiplication 6 property addition
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It seems like you have mentioned some mathematical properties and equations. Let's clarify and explain each of them:
1. a + b = Commutative Property: The commutative property of addition states that the order in which numbers are added does not affect the result. In other words, for any numbers a and b, a + b is equal to b + a.
2. a(btc) = Distributive Property: This seems to be a misinterpretation of the distributive property. The correct form of the distributive property is a(b + c) = ab + ac. It states that when you multiply a number (a) by the sum (b + c), you can distribute the multiplication to each term within the parentheses.
3. ar(-a) = Inverse Property of addition: The inverse property of addition states that for any number a, there exists an additive inverse (-a) such that a + (-a) = 0. The equation you've mentioned, ar(-a), seems to be a combination of a variable (r) multiplied by the additive inverse of a (-a).
4. 9 * 1 = Identity Property of multiplication: The identity property of multiplication states that multiplying any number by 1 will result in the original number. Therefore, 9 * 1 is equal to 9, and this property ensures that the number 1 acts as the identity element for multiplication.
5. [(a + b) + C = Associative Property: The associative property of addition states that when adding three or more numbers, changing the grouping of the numbers does not affect the result. The equation you've mentioned, [(a + b) + C], represents an expression with three variables (a, b, and C) added together within different groupings.
6. a(b - c) = Distributive 7: It seems that there might be a typo or incomplete information in this statement, as "Distributive 7" does not specify a mathematical property or equation.
7. 9 + 0 = Identity property of 80xt: It seems like there might be some confusion in this statement. The identity property of addition states that adding zero (0) to any number will result in the original number. Therefore, 9 + 0 is equal to 9. However, "Identity property of 80xt" is not a recognized mathematical property or equation.