Properties of Real Numbers

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

What is the Multiplicative Property of Zero?

Back

The Multiplicative Property of Zero states that any number multiplied by zero equals zero, e.g., (4y + 1) * 0 = 0.

Front

What is the Inverse Property of Multiplication?

Back

The Inverse Property of Multiplication states that for any number a, there exists a number 1/a such that a * (1/a) = 1.

Front

Simplify the expression: -3(2 - 6) - (4 + 5) - 1

Back

-1

Front

Solve for w in the equation: 2w + 5 = 23

Back

w = 9

Front

Identify the property: a + b = b + a

Back

Commutative Property of Addition.

Front

Identify the property: (a + b) + c = a + (b + c)

Back

Associative Property of Addition.

Front

What is the Commutative Property of Multiplication?

Back

The Commutative Property of Multiplication states that changing the order of factors does not change the product, e.g., ab = ba.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped does not change their product, e.g., (ab)c = a(bc).

Front

What is an example of the Inverse Property of Addition?

Back

An example is a + (-a) = 0, where -a is the additive inverse of a.