identity & equality properties (algebra1 1_4)

Download Identity & Equality Properties (Algebra1 1_4)

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Students learn the Identity and Equality Properties.

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  • 1. Identity and Equality Properties
  • 2. What You'll Learn Vocabulary 1) additive identity 2) multiplicative identity 3) multiplicative inverse 4) reciprocal Identity and Equality Properties
    • Recognize the properties of identity and equality.
    • Use the properties of identity and equality.
  • 3. Identity and Equality Properties The open sentence below represents the change in rank of Oregon State from December 11 to the final rank.
  • 4. Identity and Equality Properties The open sentence below represents the change in rank of Oregon State from December 11 to the final rank. +
  • 5. Identity and Equality Properties The open sentence below represents the change in rank of Oregon State from December 11 to the final rank. 4 + r = 4 +
  • 6. Identity and Equality Properties The open sentence below represents the change in rank of Oregon State from December 11 to the final rank. 4 + r = 4 + The solution of this equation is 0. Oregon States rank changed by 0 from December 11 to the final rank.
  • 7. Identity and Equality Properties The open sentence below represents the change in rank of Oregon State from December 11 to the final rank. 4 + r = 4 + The solution of this equation is 0. Oregon States rank changed by 0 from December 11 to the final rank. In other words, 4 + 0 = 4 .
  • 8. Identity and Equality Properties
    • For any number a , the sum of a and 0 is ___.
  • 9. Identity and Equality Properties
    • For any number a , the sum of a and 0 is ___.
    a
  • 10. Identity and Equality Properties
    • For any number a , the sum of a and 0 is ___.
    a
    • a + 0 = 0 + a = ___.
  • 11. Identity and Equality Properties
    • For any number a , the sum of a and 0 is ___.
    a
    • a + 0 = 0 + a = ___.
    a
  • 12. Identity and Equality Properties
    • For any number a , the sum of a and 0 is ___.
    a
    • a + 0 = 0 + a = ___.
    a
    • 7 + 0 = 0 + 7 = ___.
  • 13. Identity and Equality Properties
    • For any number a , the sum of a and 0 is ___.
    a
    • a + 0 = 0 + a = ___.
    a
    • 7 + 0 = 0 + 7 = ___.
    7
  • 14. Identity and Equality Properties
    • For any number a , the sum of a and 0 is ___.
    a
    • a + 0 = 0 + a = ___.
    a
    • 7 + 0 = 0 + 7 = ___.
    7 The sum of any number and 0 is equal to the number. This is called the _______________.
  • 15. Identity and Equality Properties
    • For any number a , the sum of a and 0 is ___.
    a
    • a + 0 = 0 + a = ___.
    a
    • 7 + 0 = 0 + 7 = ___.
    7 The sum of any number and 0 is equal to the number. This is called the _______________. additive identity
  • 16. Identity and Equality Properties There are also special properties associated with multiplication .
  • 17. Identity and Equality Properties There are also special properties associated with multiplication .
  • 18. Identity and Equality Properties There are also special properties associated with multiplication . The solution of the equation is 1. Since the product of any number and 1 is equal to the number, 1 is called the _____________________
  • 19. Identity and Equality Properties There are also special properties associated with multiplication . The solution of the equation is 1. Since the product of any number and 1 is equal to the number, 1 is called the _____________________ multiplicative identity
  • 20. Identity and Equality Properties There are also special properties associated with multiplication . The solution of the equation is 1. Since the product of any number and 1 is equal to the number, 1 is called the _____________________ multiplicative identity
  • 21. Identity and Equality Properties There are also special properties associated with multiplication . The solution of the equation is 1. Since the product of any number and 1 is equal to the number, 1 is called the _____________________ multiplicative identity The solution of the equation is 0. The product of any number and 0 is equal to 0. This is called the _____________________
  • 22. Identity and Equality Properties There are also special properties associated with multiplication . The solution of the equation is 1. Since the product of any number and 1 is equal to the number, 1 is called the _____________________ multiplicative identity The solution of the equation is 0. The product of any number and 0 is equal to 0. This is called the _____________________ Multiplicative Property of Zero
  • 23. Identity and Equality Properties There are also special properties associated with multiplication .
  • 24. Identity and Equality Properties There are also special properties associated with multiplication . Two numbers whose product is 1 are called _____________________ or ____________.
  • 25. Identity and Equality Properties There are also special properties associated with multiplication . Two numbers whose product is 1 are called _____________________ or ____________. multiplicative inverses reciprocals
  • 26. Identity and Equality Properties There are also special properties associated with multiplication . Two numbers whose product is 1 are called _____________________ or ____________. multiplicative inverses reciprocals is the multiplicative inverse (or reciprocal) of 5, and
  • 27. Identity and Equality Properties There are also special properties associated with multiplication . Two numbers whose product is 1 are called _____________________ or ____________. multiplicative inverses reciprocals is the multiplicative inverse (or reciprocal) of 5, and 5 is the multiplicative inverse (or reciprocal) of
  • 28. Identity and Equality Properties For any number a, the product of a and 1 is a. For any number a, the product of a and 0 is 0. Multiplicative Inverse Multiplicative Property of Zero Multiplicative Identity Examples Symbols Words Propert