What is commutative property of addition?

The commutative property of addition says we can change the order of the terms and the result is the same.
Thus a+b=b+a.
This is one of the field properties of the real numbers.

This site explains the commutative property of addition.

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I am having trouble "working out" 5th grade problems for" properties of addition" can anyone please help!

Of course, I can definitely help you with that! The properties of addition in mathematics include the commutative property, associative property, and identity property.

Let's start with the commutative property of addition. This property states that the order of the numbers being added does not affect the result. In other words, if we have two numbers, a and b, then a + b is equal to b + a.

For example, let's consider the numbers 3 and 5. According to the commutative property, 3 + 5 is equal to 5 + 3. And indeed, both calculations would give us the result of 8.

Now, let's move on to the associative property of addition. This property states that the grouping of numbers being added together does not affect the result. In other words, if we have three numbers, a, b, and c, then (a + b) + c is equal to a + (b + c).

For example, let's consider the numbers 2, 4, and 6. Using the associative property, we can calculate (2 + 4) + 6 and get the result of 12. Similarly, if we calculate 2 + (4 + 6), we also get the result of 12. So, the associative property holds true for these numbers.

Lastly, the identity property of addition states that there is a special number called the identity element, which is 0. Adding 0 to any number does not change the value of that number. For example, 7 + 0 = 7 and 0 + 9 = 9.

To work on 5th-grade problems related to the properties of addition, start by identifying which property is relevant to the problem. Then, apply the property to solve the problem. Practice with various examples to strengthen your understanding of these properties.

If you have any specific problems or questions related to the properties of addition, feel free to ask, and I'll be glad to assist you further!