Properties of Numbers

Front

What is the identity property of addition?

Back

The identity property of addition states that for any number a, a + 0 = a.

Front

What is the additive inverse of -7?

Back

The additive inverse of -7 is 7, because -7 + 7 = 0.

Front

What does the equation a + 0 = a illustrate?

Back

It illustrates the identity property of addition.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac.

Front

What does the equation (1 + 3) + 4 = 1 + (3 + 4) demonstrate?

Back

It demonstrates the associative property of addition.

Front

Define the commutative property of addition.

Back

The commutative property of addition states that changing the order of the addends does not change the sum, i.e., a + b = b + a.

Front

What is the difference between the identity property and the additive inverse?

Back

The identity property involves adding zero to a number, resulting in the same number, while the additive inverse is the number that, when added to the original number, results in zero.

Front

Provide an example of the commutative property of addition.

Back

An example is 5 + 3 = 3 + 5.

Front

What is the associative property of addition?

Back

The associative property of addition states that the way in which numbers are grouped does not change their sum, i.e., (a + b) + c = a + (b + c).

Front

How can you use the distributive property to simplify 3(4 + 5)?

Back

You can simplify it as 3*4 + 3*5 = 12 + 15 = 27.