0
Given a set and a binary operation defined on the set,
the inverse of any element is that element which, when combined with the first, gives the identity element for the binary operation.
If the set is integers and the binary operation is addition, then the identity is 0, and the inverse of an integer k is -k.
If the set is rational numbers and the binary operation is multiplication, then the identity element is 1 and the inverse of any member of the set, x (other than 0) is 1/x.
Still curious? Ask our experts.
Chat with our AI personalities
Maxine
Ross
SteveAdd your answer:
Earn +20 pts
Why is additive inverse property used?
It is used to show the inverse (opposite of a number) in algebra.
What is an inverese in algebra?
An inverse is another word for opposite. The inverse for adding is subtraction, multiplication is division, etc. If you are solving an equation, and have to get a variable alone, you must eliminate any other numbers with the variable, which means undoing the operation (x, +, -, /); so you perform the inverse. Example: x + 3 = 9. Subtract 3 on both sides to get x alone, because subtraction is the inverse of addition: x = 6. Example: 2x + 3 = 9. You must do the inverse of addition and subtraction before the inverse of multiplication and division. In this case, after subtracting 3 you have: 2x = 6. x is being multiplied by 2, so the inverse is division, and your answer is x = 3.
When is it important for a matrix to be square?
In the context of matrix algebra there are more operations that one can perform on a square matrix. For example you can talk about the inverse of a square matrix (or at least some square matrices) but not for non-square matrices.
Is foundations algebra the same as algebra 1?
foundations algebra is probably pre algebra, which is before algebra, so no.
Definition of Inverse property of addition?
* *It is the reverse of the actionEx.Addition is the inverse of subtrationmultiplication is the inverse of division
