3rd Grade math properties worksheets: Terms, PEMDAS, and more

Math properties are fundamental rules and characteristics we can follow when solving math operations. These properties are like shortcuts, so we need them to help us do math faster and more accurately.

They also help us understand how numbers work and how they relate to each other. For example, did you know multiplying a number by 1 does not change its value? That's because of a math property called the identity property of multiplication.

There are many other math properties that we will learn in this article.

This article will focus on three main types of math properties: commutative, associative, and distributive. These are big words/terms, but they are fun and easy to remember if you think of them as actions. Let's see what they mean:

• Commutative means to switch or change the order of something. For example, the commutative property of addition says that a + b = b + a. This means we can add two numbers in any order and get the same answer. The same is true for multiplication: a x b = b x a.
• Associative means to group or combine things. For example, the associative property of addition says that (a + b) + c = a + (b + c). This means we can group three numbers in any way and get the same answer when we add them. The same is true for multiplication: (a x b) x c = a x (b x c).
• Distributive means to spread or share something over something else. For example, the distributive property of multiplication over addition says that a x (b + c) = (a x b) + (a x c). This means we can multiply a number by the sum of two numbers by multiplying it by each number separately and then adding the results.

Now that we know some math properties, how do we use them to solve math problems? A simple rule tells us the order of operations we will follow when we have more than one operation in a math expression. The rule is called PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division, Addition and Subtraction.

Here is what it means:

• Parentheses: We need to solve whatever is inside parentheses first before doing anything else.
• Exponents: We need to calculate any powers or roots next.
• Multiplication and Division: We do any multiplication or division from left to right after parentheses and exponents.
• Addition and Subtraction: We do any addition or subtraction from left to right after multiplication and division.

For example, let's say we have this math expression: 2 + 3 x (4 - 1)². How do we solve it using PEMDAS?

- First, we look for parentheses and solve what is inside them: 4 - 1 = 3.

- Next, we look for exponents and calculate them: 3² = 9.

- Then, we look for multiplication and division and do them from left to right: 3 x 9 = 27.

- Finally, we look for addition and subtraction and do them from left to right: 2 + 27 = 29.

So, the answer is 29.

Now that your kids have learned some excellent math terms and how to use PEMDAS, it's time to put their skills to the test! We have prepared some awesome Mathskilsl4kids’ 3rd Grade math properties worksheets for them to practice and have fun.

You can download them for free and print them or do it with them online.

 

Let's take a look at what each worksheet is about.

• Terms used in addition, subtraction, multiplication, and division

  This worksheet will help your 3^rd Grade kids review important basic terms when doing math operations. For example, do you know what a sum is? How about a difference? A product? A quotient? A factor? A dividend? A divisor? Don't worry if you don't remember them all. This worksheet will refresh your memory and give you some examples.

• Understanding brackets or parentheses

  This worksheet will teach 3^rd graders how to use brackets or parentheses in math expressions. Brackets or parentheses are used to group numbers or terms and tell us which part of the expression we need to do first.

  For example, in the expression 2 + (3 x 4), we need to do the multiplication inside the brackets first, then add 2. This worksheet will show how to use brackets or parentheses correctly and how they can change the value of an expression.

• Properties of addition

  This worksheet will help kids practice the properties of addition that they learned earlier. They will see how the commutative and associative properties work for addition and how they can make adding easier and faster. We will also provide some examples of using these properties to simplify expressions.

• Complete the expression using properties of addition

  This worksheet will challenge children to use their knowledge of the properties of addition to complete some expressions. You will give them one part of an expression to fill in the missing part using the commutative or associative properties.

  For example, if we have (19 + _____ ) + 7 =  19 + (8 + 7), we can fill in any number for the blanks and use the commutative property to make a true statement.

• Properties of multiplication

  This worksheet will help children to practice the properties of multiplication that they learned earlier. They will see how the commutative, associative, and distributive properties work for multiplication and how they can make multiplying easier and faster. We will also provide some examples of using these properties to simplify expressions.

• Find the missing factor using the distributive property

  This worksheet will challenge 3^rd graders to use their knowledge of the distributive property to find a missing factor in a multiplication problem. They will be given a multiplication problem broken down into two smaller problems using the distributive property.

  For example, if we have 6 x 12 = (6 x 10) + (6 x ___), we can use the distributive property to find out what number goes in the blank.

• Relationship between multiplication and division

  This worksheet will teach your children how multiplication and division are related and how they can help each other. They will learn that division is the opposite of multiplication and that you can use one operation to check the answer of the other.

  For example, if we know that 4 x 5 = 20, we can use division to check that 20 ÷ 5 = 4 and 20 ÷ 4 = 5. This worksheet will show kids how to use this relationship to solve problems.

Each worksheet has a set of questions and an answer key. You can check your learner’s answers after they finish each worksheet.

Please encourage them to do the worksheets without looking at the answer key to see how well they’ve understood the concepts. If a child gets stuck, don't worry! You can always review the previous sections of this article or ask them to watch some videos online to refresh their memory.