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7.NS.1 a. Understand that the additive inverse of a number is its opposite and their sum is equal to zero. Question?. Can you think of any number you can add to 4 to get 0?. Additive Inverse Property. What do you think this property means? Let’s look at the words individually.

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Question?

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  1. 7.NS.1 a. Understand that the additive inverse of a number is its opposite and their sum is equal to zero.

  2. Question? • Can you think of any number you can add to 4 to get 0?

  3. Additive Inverse Property • What do you think this property means? • Let’s look at the words individually. • 1st what does additive mean? • 2nd what is inverse? • Can you figure out what this property does?

  4. Additive Inverse Property

  5. Additive inverse examples

  6. More examples of additive inverse

  7. Let’s practice • 1. What is the additive inverse of 8? • 2. Solve: (-9) + 9 = • 3. What is the additive inverse of (-2)? • 4. Solve: (-66) + 66 = • 5. What is the additive inverse of 8,964? • 6. Solve: (-771) + x = 0 • 7. What is the additive inverse of (-9,276)? • 8. Solve: 27 + (-27) = • 9. What is the additive inverse of (-12)? • 10. Solve: 0 + 9,276 =

  8. Practice answers • 1. (-8)   • 2. 0   • 3. 2   • 4. 0   • 5. (-8,964)   • 6. 771   • 7. 9,276   • 8.  0   • 9.  12   • 10. 9,276 

  9. How can we use this property? • What if you see this problem. Could it help if you knew this property? -3 + 5 + (-5) Or 20 + (-20) + (8)

  10. Adding integers • When adding integers with the same sign just add and keep the sign: • Examples: 6 + 3 = 9 is the same as (+6)+ (+3)= +9 and -4 + (-7) = -11 or -7 + (-4) = -11 (Do you recognize this property?)

  11. Commutative property • Commutative property says that you can swap the order of two numbers when adding or multiplying and still get the same answer.

  12. Adding integers with different signs • When adding integers with different signs REMEMBER THIS… Adding a negative is the same as subtracting a positive and Subtracting a negative is like adding a positive

  13. Let’s examine this closer • Adding a negative is like subtracting a positive 11 + (-6) is the same as 11 – (6) 2 + (-3) is the same as 2 – (3) 5 + (-5) is the same as 5 - 5

  14. Let’s examine this… • Subtracting a negative is like adding a positive 3 – (-4) is the same as 3 + (4) 8 – (-6) is the same as 8 + (6) 9 – (-10) is the same as 9 + (10)

  15. Workbook practice • Volume 1 p. 204 p. 207 (1-10)

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