Distributive Property (3rd Grade Multiplication)

Front

What is the Distributive Property in multiplication?

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 across each addend.

Front

How can you express (3x3)+(3x4) using the Distributive Property?

Back

(3x3)+(3x4) can be expressed as 3(3+4) = 3x7.

Front

What is the result of (5x4)+(5x3) using the Distributive Property?

Back

(5x4)+(5x3) can be expressed as 5(4+3) = 5x7, which equals 35.

Front

How do you break down 6x7 using the Distributive Property?

Back

6x7 can be broken down as (6x2)+(6x5).

Front

What is the original multiplication problem for (6x2)+(6x10)?

Back

The original multiplication problem is 6x12.

Front

How can you express (3x9) using the Distributive Property?

Back

(3x9) can be expressed as (3x4)+(3x5).

Front

What is the sum of 9 and 12?

Back

The sum of 9 and 12 is 21.

Front

If you have (a x b) + (a x c), what can you factor out?

Back

You can factor out 'a' to get a(b + c).

Front

What is an example of using the Distributive Property with numbers?

Back

An example is 4(2 + 3) = 4x2 + 4x3 = 8 + 12 = 20.

Front

How does the Distributive Property help in solving multiplication problems?

Back

It simplifies multiplication by breaking it down into easier parts, making calculations more manageable.