Here Is An Addition Sentence:$13+(12+3)=28$Select The Response That Creates An Equivalent Addition Sentence That Illustrates The Associative Property Of Addition.A. $13+(28+3)=12$B. $ 12 + ( 13 + 3 ) = 28 12+(13+3)=28 12 + ( 13 + 3 ) = 28 [/tex]C.
The associative property of addition is a fundamental concept in mathematics that helps us simplify complex addition problems. It states that when we add three or more numbers, the order in which we group the numbers does not change the result. In other words, the way we associate the numbers in an addition problem does not affect the final answer.
What is the Associative Property of Addition?
The associative property of addition can be expressed mathematically as:
(a + b) + c = a + (b + c)
This means that if we have three numbers, a, b, and c, we can add them in any order and still get the same result. For example:
(2 + 3) + 4 = 2 + (3 + 4)
Both expressions equal 9.
Why is the Associative Property of Addition Important?
The associative property of addition is important because it helps us simplify complex addition problems. By grouping numbers in a way that makes it easier to calculate, we can avoid confusion and ensure that our calculations are accurate.
How to Apply the Associative Property of Addition
To apply the associative property of addition, we need to identify the numbers in the problem and group them in a way that makes it easier to calculate. We can then use the associative property to simplify the problem.
For example, let's consider the problem:
13 + (12 + 3)
Using the associative property, we can rewrite this problem as:
(13 + 12) + 3
This makes it easier to calculate, as we can first add 13 and 12, and then add 3 to the result.
Selecting the Correct Answer
Now that we have a better understanding of the associative property of addition, let's go back to the original problem and select the correct answer.
The original problem is:
13 + (12 + 3) = ?
Using the associative property, we can rewrite this problem as:
(13 + 12) + 3 = ?
We can then calculate the result:
(13 + 12) = 25 25 + 3 = 28
So, the correct answer is:
B.
This answer illustrates the associative property of addition, as we have grouped the numbers in a way that makes it easier to calculate.
Conclusion
In conclusion, the associative property of addition is a fundamental concept in mathematics that helps us simplify complex addition problems. By understanding and applying this property, we can avoid confusion and ensure that our calculations are accurate. In this article, we have explored the concept of the associative property of addition, its importance, and how to apply it. We have also selected the correct answer to the original problem, which illustrates the associative property of addition.
Frequently Asked Questions
- What is the associative property of addition? The associative property of addition is a fundamental concept in mathematics that states that when we add three or more numbers, the order in which we group the numbers does not change the result.
- Why is the associative property of addition important? The associative property of addition is important because it helps us simplify complex addition problems and avoid confusion.
- How to apply the associative property of addition? To apply the associative property of addition, we need to identify the numbers in the problem and group them in a way that makes it easier to calculate.
Additional Resources
For more information on the associative property of addition, please refer to the following resources:
- Khan Academy: Associative Property of Addition
- Math Is Fun: Associative Property of Addition
- Wikipedia: Associative Property of Addition
Q&A: Associative Property of Addition =====================================
In our previous article, we explored the concept of the associative property of addition, its importance, and how to apply it. In this article, we will answer some frequently asked questions about the associative property of addition.
Q: What is the associative property of addition?
A: The associative property of addition is a fundamental concept in mathematics that states that when we add three or more numbers, the order in which we group the numbers does not change the result. In other words, the way we associate the numbers in an addition problem does not affect the final answer.
Q: Why is the associative property of addition important?
A: The associative property of addition is important because it helps us simplify complex addition problems and avoid confusion. By understanding and applying this property, we can ensure that our calculations are accurate and efficient.
Q: How to apply the associative property of addition?
A: To apply the associative property of addition, we need to identify the numbers in the problem and group them in a way that makes it easier to calculate. We can then use the associative property to simplify the problem.
Q: What are some examples of the associative property of addition?
A: Here are some examples of the associative property of addition:
- (2 + 3) + 4 = 2 + (3 + 4)
- (5 + 2) + 1 = 5 + (2 + 1)
- (10 + 3) + 2 = 10 + (3 + 2)
Q: Can the associative property of addition be applied to subtraction?
A: No, the associative property of addition cannot be applied to subtraction. The associative property of addition only applies to addition, not subtraction.
Q: Can the associative property of addition be applied to multiplication?
A: No, the associative property of addition cannot be applied to multiplication. The associative property of addition only applies to addition, not multiplication.
Q: Can the associative property of addition be applied to division?
A: No, the associative property of addition cannot be applied to division. The associative property of addition only applies to addition, not division.
Q: What are some real-world applications of the associative property of addition?
A: The associative property of addition has many real-world applications, including:
- Accounting: When adding up large numbers of transactions, the associative property of addition can help to simplify the process and avoid errors.
- Finance: When calculating interest rates or investment returns, the associative property of addition can help to ensure that calculations are accurate and efficient.
- Science: When working with large numbers of data points, the associative property of addition can help to simplify the process of calculating means and medians.
Q: How can I practice the associative property of addition?
A: There are many ways to practice the associative property of addition, including:
- Using online resources, such as math games and interactive calculators.
- Working with a tutor or teacher to practice problems and exercises.
- Using real-world examples, such as calculating tips or change.
Conclusion
In conclusion, the associative property of addition is a fundamental concept in mathematics that helps us simplify complex addition problems and avoid confusion. By understanding and applying this property, we can ensure that our calculations are accurate and efficient. We hope that this Q&A article has been helpful in answering your questions about the associative property of addition.
Frequently Asked Questions
- What is the associative property of addition?
- Why is the associative property of addition important?
- How to apply the associative property of addition?
- What are some examples of the associative property of addition?
- Can the associative property of addition be applied to subtraction?
- Can the associative property of addition be applied to multiplication?
- Can the associative property of addition be applied to division?
- What are some real-world applications of the associative property of addition?
- How can I practice the associative property of addition?
Additional Resources
For more information on the associative property of addition, please refer to the following resources:
- Khan Academy: Associative Property of Addition
- Math Is Fun: Associative Property of Addition
- Wikipedia: Associative Property of Addition