Properties of numbers

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication to each addend.

Front

What is the Associative Property?

Back

The Associative Property states that the way numbers are grouped in addition or multiplication does not change their sum or product. For example, (a + b) + c = a + (b + c) and (ab)c = a(bc).

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that any number multiplied by 1 remains unchanged. For example, 7 x 1 = 7.

Front

What is the Zero Property of Multiplication?

Back

The Zero Property of Multiplication states that any number multiplied by 0 equals 0. For example, 5 x 0 = 0.

Front

Give an example of the Distributive Property.

Back

Example: 3 x (4 + 5) = 3 x 4 + 3 x 5, which simplifies to 12 + 15 = 27.

Front

Give an example of the Associative Property.

Back

Example: (2 + 3) + 4 = 2 + (3 + 4), both equal 9.

Front

What is the Commutative Property?

Back

The Commutative Property states that the order of numbers does not affect the sum or product. For example, a + b = b + a and ab = ba.

Front

Give an example of the Identity Property of Addition.

Back

Example: 8 + 0 = 8, where 0 is the identity element for addition.

Front

What does it mean for a number to be a factor?

Back

A factor is a number that divides another number without leaving a remainder. For example, 2 and 3 are factors of 6.

Front

What is a product in mathematics?

Back

A product is the result of multiplying two or more numbers together. For example, the product of 4 and 5 is 20.