## Rewriting Multiplication Problems

#### Aligned To Common Core Standard:

**Grade 3 Operations** - 3.OA.C.7

What Are the Commutative and Associative Properties of Multiplication?
Addition and multiplication are closely related mathematical operations. Adding a number multiple times will give the result similar to the result of multiplying the number by the number of times addition was performed. For example,
2+2+2= 6 | 2 x 3 = 6
It is important to notice that these two properties are relevant only to addition and multiplication. These properties do not cover the mathematical operations of subtraction and division. It is because in multiplication and addition changing the order of number doesn't affect the result. However, in division and subtraction, any change in the order of the number will affect the result.
Below, we have discussed the two main properties of multiplication, that is the commutative and associative properties:
**Commutative Property Of Multiplication** - When two numbers are being multiplied, changing the order of numbers gives the same result. That is, changing the order of factors doesn't change the product. For example,
5 x 4 = 4 x 5 | 2 x 3 = 3 x 2
**Associative Property Of Multiplication** - Associative property of multiplication can be taken as an extension of the commutative property. When multiplying more than two numbers, changing their order of multiplication results in the same result. Or changing the grouping of factors doesn't change the product. For example,
(2x 3) x 4 = 2 x (3 x 4)These worksheets and lessons help students learn a variety of ways to rewrite multiplication problems.

### Printable Worksheets And Lessons

- Step-by-Step Lesson- How many snowflakes and snowflake sets do you see?
- Guided Lesson- It's a full circle to the soccer ball season.
- Guided Lesson Explanation- We show you how to arrange those soccer balls into an order of some type here.
- Picture Worksheet 1- Make mathematical sense of what you are being presented with here.

- Sets (with help) Version 2 - You will find a great number of even digit numbers here.
- Homework 1 - Larger number sets to work with.
- Write the Problem: (no help) Homework 2 - As the title indicates no assistance is provided on these.
- Homework 3 - Loosely draw arrays.
- Practice 1 - Picture sets with assistance and guidance provided.
- Practice 2 - We threw a little color in here.
- Practice 3 - Totally raw integer sets that you need to give order to.
- Quiz 1 - A basic set with assistance worksheet set.
- Quiz 2 - Lateral sums that need to make into useful products.