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Understanding the Closure Property of Addition and Real-Life Applications

Explore the closure property of addition in this interactive guide. Discover how adding any two real numbers always yields a real number, regardless of their values. Learn to visualize addition using a number line, and find answers to problems like 2 + 3 and 12 + 24. You’ll also see practical applications, such as tracking profits and losses in business scenarios. With examples of the commutative, associative, and inverse properties, you'll grasp essential arithmetic concepts that apply to real life. Join us for quizzes and tutoring resources to reinforce your skills.

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Understanding the Closure Property of Addition and Real-Life Applications

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Presentation Transcript

  1. Adding Real Numbers One for you , two for me…..

  2. What does closure mean? Add 2+ 3. What answer do you get? Add 12 + 24. What answer do you get? When you add any two real numbers, how many answers do you get? This is the meaning of the closure property of addition.

  3. How do I add using a number line? Add 6 + (-5) First mark 6 on the number line Then move 5 spaces in the OPPOSITE direction! What is your answer?

  4. Now you try -2 + 5 3 + (-6)

  5. But what if I don’t want to use a number line? Isolate your quantities Combine your positive terms Combine your negative terms Think MONEY!!!!!!!!!!! (Positive numbers are what you have in your pocket, negative numbers are what you owe) 3 + 4 + (-5) + (-3) + 12 + (-2)

  6. How does the associative property help? Think associations 2 + ( -2 + 5) (2 + -2) +5 2 and –2 are additive inverses so their sum is 0 What is left? 5!!!!!!!

  7. Give examples of properties Commutative Property: a+b = b+a. Inverse Property of Addition: a + -a = 0 Identity Property of Addition: a+ 0 = a Now you do these with numbers!

  8. Real Life Application A company has a profit if the income (receipts) is more than the expenses (costs). But if the expenses are more, the company has a loss. Profits are denoted with positive numbers and losses are shown using negative numbers

  9. So let’s try In January, my business lost $13143 and in February, I lost another $6783. In March, I lost $4735. But business picked up in April through June with profits of $3825, $7613, and $12933 Please help me find out if I have an overall profit or loss!

  10. Now it is YOUR TURN! DON’T FORGET!!!! Quiz 9/8 covers sections 2.1- 2.3 Vocabulary Due September 15 Tutoring Tuesday through Friday mornings at 8:15 AM Section 2.3 in the practice workbook

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