Properties of addition

Learning Objectives Identify and define the Commutative Property of Addition. Identify and define the Associative Property of Addition. Identify and define the Identity Property of Addition. Apply the properties of addition to simplify numerical expressions. Explain how using these properties can make mental math easier and more efficient. Use the properties of addition to verify sums and solve problems involving multiple addends. Have you ever added numbers in a different order and still got the same answer? 🤔 Like 2 + 7 or 7 + 2? Let's find out why! In this lesson, you'll discover special rules, called properties, that addition always follows. Understanding these properties will not only make your calculations faster and easier but also build a strong foundatio...

TermDefinitionExample PropertyA rule or characteristic that is always true for a specific mathematical operation or set of numbers.The 'rule' that adding numbers always gives a sum. Commutative Property of AdditionThis property states that changing the order of the numbers being added does not change their sum.$5 + 8 = 13$ and $8 + 5 = 13$. Associative Property of AdditionThis property states that when adding three or more numbers, the way you group the numbers (using parentheses) does not change their sum.$(2 + 3) + 4 = 5 + 4 = 9$ and $2 + (3 + 4) = 2 + 7 = 9$. Identity Property of AdditionThis property states that the sum of any number and zero is that number itself. Zero is called the additive identity.$15 + 0 = 15$ and $0 + 99 = 99$. AddendA number that is added to another n...

Commutative Property of Addition $a + b = b + a$ This rule means you can swap the positions of the numbers you are adding, and the total will stay the same. It's useful for rearranging numbers to make mental math easier. Associative Property of Addition $(a + b) + c = a + (b + c)$ This rule tells us that when adding three or more numbers, you can group them differently using parentheses, and the sum will not change. This helps in choosing which numbers to add first to simplify calculations. Identity Property of Addition $a + 0 = a$ This rule states that adding zero to any number leaves the number unchanged. Zero is special because it doesn't 'add' anything to the value.