Properties of Multiplication

Front

What is the Distributive Property of Multiplication?

Back

The Distributive Property states that a number multiplied by a sum is equal to the sum of the products of that number and each addend. For example, a(b + c) = ab + ac.

Front

What does the Commutative Property of Multiplication state?

Back

The Commutative Property of Multiplication states that the order of the numbers in a multiplication equation does not change the product. For example, a x b = b x a.

Front

How do you apply the Distributive Property to the expression 5(2x + 3y + 2)?

Back

To apply the Distributive Property, multiply each term inside the parentheses by 5: 5(2x) + 5(3y) + 5(2) = 10x + 15y + 10.

Front

What is the result of expanding 4(5 + 3g) using the Distributive Property?

Back

The result is 4(5) + 4(3g) = 20 + 12g.

Front

What is the Identity Property of Multiplication?

Back

The Identity Property of Multiplication states that the product of any number and 1 is that number itself. For example, a x 1 = a.

Front

What is an example of the Distributive Property in action?

Back

An example is 3 x (4 + 5) = (3 x 4) + (3 x 5), which simplifies to 27.

Front

Can you give an example of the Commutative Property of Multiplication?

Back

Yes, for example, 6 x 7 = 7 x 6, both equal 42.

Front

What is the difference between the Distributive Property and the Commutative Property?

Back

The Distributive Property involves distributing a multiplier across a sum, while the Commutative Property involves changing the order of the factors in multiplication.

Front

How would you use the Distributive Property to simplify 2(3 + 4)?

Back

You would calculate 2(3) + 2(4) = 6 + 8 = 14.

Front

What is the Associative Property of Multiplication?

Back

The Associative Property of Multiplication states that the way in which numbers are grouped in multiplication does not change the product. For example, (a x b) x c = a x (b x c).