Question
left parenthesis negative nine halves right parenthesis left parenthesis negative two ninths right parenthesis equals 1
Question content area bottom
Part 1
The statement is an example of which property?
A.
identity
B.
inverse
Question content area bottom
Part 1
The statement is an example of which property?
A.
identity
B.
inverse
Answers
GPT-4o mini
To determine which property is being demonstrated in the expression \((- \frac{9}{2}) \cdot (- \frac{2}{9}) = 1\), we look at the relationship between the numbers and their product.
1. The **identity property** states that multiplying any number by 1 will give you that number (i.e., \(a \cdot 1 = a\)).
2. The **inverse property** refers to the idea that for every number \(a\), there exists an inverse \(b\) such that \(a \cdot b = 1\). In this case, the numbers \(-\frac{9}{2}\) and \(-\frac{2}{9}\) are inverses of each other, because when you multiply them together, their product equals 1.
With this understanding, since the product of \(-\frac{9}{2}\) and \(-\frac{2}{9}\) is equal to 1, this expression is an example of the:
**B. inverse property**.
1. The **identity property** states that multiplying any number by 1 will give you that number (i.e., \(a \cdot 1 = a\)).
2. The **inverse property** refers to the idea that for every number \(a\), there exists an inverse \(b\) such that \(a \cdot b = 1\). In this case, the numbers \(-\frac{9}{2}\) and \(-\frac{2}{9}\) are inverses of each other, because when you multiply them together, their product equals 1.
With this understanding, since the product of \(-\frac{9}{2}\) and \(-\frac{2}{9}\) is equal to 1, this expression is an example of the:
**B. inverse property**.