# Math Properties Worksheets PDF for Grade 3 - Distributive Properties Exercises

Math properties worksheets pdf for grade 3 are one of the keys to math fact fluency. Significantly, our distributive properties exercises have been richly designed to encourage kids in demonstrating flexibility and mastery of addition and multiplication facts. This evidently will be an amazing skill to produce answers accurately, quick and efficiently.

In an important way, these fun properties of multiplication and addition activities with answers will motivate our 3rd graders’ confidence when they begin to solve higher level math, such as solving expressions and balancing equations in algebra.

You’ll bear with me here that once kids get familiar with these math properties, they’ll definitely become very flexible with simple strategies useful when multiplying, adding or even subtracting.

## 3rd GRADE MATH PRINTABLES

### How can properties of multiplication and addition make adding and multiplying sums easier?

Learning to add or multiply sums with math properties doesn’t need to be hard.

Hence, once you engage your kids in these amazing math properties worksheets pdf for grade 3, they’ll enjoy and equally learn how properties of multiplication and addition make adding and multiplying sums easier.

Firstly, since addition and multiplication are related, we have created stimulating exercises such as solve using properties of multiplication; properties of addition, through which kids will be filled with outstanding rules for quick solving multiplication and addition problems according to similar, but particular properties.

### Special tips for fast understanding related multiplication and addition properties

Below are special tips for fast understanding related multiplication and addition properties.

There exist four basic properties of multiplication and addition, namely: the identity, commutative, associative and distributive properties.

#### ♦ Identity Property

With the identity property, the sum of any number and zero is that number.  E.g. 7 + 0 = 7, while

The product of any number and one is that number. E.g. 7 x 1 = 7

#### ♦ Commutative Property

Here, when two numbers are added or multiplied, their sum or product is the same regardless of the order in which the numbers are placed.

e. g.   5 + 4 = 9   or   4 + 5 = 9   AND   5 x 4= 20   or   4 x 5 = 20

#### ♦ Associative Property

When three or more numbers are added or multiplied, the sum or product is the same regardless of the way in which the numbers are grouped.

e. g.   Addition : 2 + (5 + 7) = 14   or   (2 + 5) + 7 = 14

Multiplication : 2 x (5 x 7) = 70   or   (2 x 5) x 7 = 70

#### ♦ Distributive Property

With the distributive property, the sum of two numbers times a third number is equal to the sum of each addend times the third number.

e. g.    3 x (5 + 8) = 39   or   3 x 5 + 3 x 8 = 39

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