Algebra Properties

Front

6 = 6 is an example of which property?

Back

Reflexive Property

Front

Identify whether the set of whole numbers is closed under addition.

Back

Yes

Front

Explain the importance of closure property in mathematics.

Back

The closure property ensures that the result of an operation on any two numbers in a set is also in the same set.

Front

Which property states that if 10a = 2b and 2b = c, then 10a = c?

Back

Transitive Property

Front

Which property says 10y = 10y?

Back

Reflexive Property

Front

What is the Identity Property of Addition?

Back

The Identity Property of Addition states that adding zero to any number does not change the number (e.g., a + 0 = a).

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that multiplying any number by one does not change the number (e.g., a × 1 = a).

Front

What does the Inverse Property of Addition state?

Back

The Inverse Property of Addition states that for every number a, there exists a number -a such that a + (-a) = 0.

Front

What does the Inverse Property of Multiplication state?

Back

The Inverse Property of Multiplication states that for every non-zero number a, there exists a number 1/a such that a × (1/a) = 1.

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac.