Distributive Property 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

How can you express (5 x 4) + (5 x 4) using the Distributive Property?

Back

You can express it as 5 x (4 + 4) = 5 x 8.

Front

What does it mean to match an array with an equation?

Back

It means to find an equation that represents the total number of items in the array, showing how the items are grouped.

Front

If you have an array of 3 rows and 4 columns, how can you write it using the Distributive Property?

Back

You can write it as (3 x 4) + (3 x 0) or simply 3 x 4.

Front

What is an example of using the Distributive Property with the numbers 2, 3, and 1?

Back

An example is 2 x (3 + 1) = (2 x 3) + (2 x 1).

Front

How can you break down (4 x 5) + (1 x 5) using the Distributive Property?

Back

You can express it as 5 x (4 + 1) = 5 x 5.

Front

What is the result of (3 x 4) + (3 x 4)?

Back

The result is 2 x (3 x 4) = 2 x 12 = 24.

Front

How do you simplify (5 x 4) + (4 x 4)?

Back

You can simplify it to 4 x (5 + 4) = 4 x 9 = 36.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors, like turning (5 x 4) + (5 x 1) into 5 x (4 + 1).

Front

Can you give an example of an equation that matches an array of 2 rows and 3 columns?

Back

An example is (2 x 3) + (2 x 0) = 6.