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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 <ul><li>Recognize the properties of identity and equality. </li></ul><ul><li>Use the properties of identity and equality. </li></ul>
- 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 State’s 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 State’s rank changed by 0 from December 11 to the final rank. In other words, 4 + 0 = 4 .
- 8. Identity and Equality Properties <ul><li>For any number a , the sum of a and 0 is ___. </li></ul>
- 9. Identity and Equality Properties <ul><li>For any number a , the sum of a and 0 is ___. </li></ul>a
- 10. Identity and Equality Properties <ul><li>For any number a , the sum of a and 0 is ___. </li></ul>a <ul><li>a + 0 = 0 + a = ___. </li></ul>
- 11. Identity and Equality Properties <ul><li>For any number a , the sum of a and 0 is ___. </li></ul>a <ul><li>a + 0 = 0 + a = ___. </li></ul>a
- 12. Identity and Equality Properties <ul><li>For any number a , the sum of a and 0 is ___. </li></ul>a <ul><li>a + 0 = 0 + a = ___. </li></ul>a <ul><li>7 + 0 = 0 + 7 = ___. </li></ul>
- 13. Identity and Equality Properties <ul><li>For any number a , the sum of a and 0 is ___. </li></ul>a <ul><li>a + 0 = 0 + a = ___. </li></ul>a <ul><li>7 + 0 = 0 + 7 = ___. </li></ul>7
- 14. Identity and Equality Properties <ul><li>For any number a , the sum of a and 0 is ___. </li></ul>a <ul><li>a + 0 = 0 + a = ___. </li></ul>a <ul><li>7 + 0 = 0 + 7 = ___. </li></ul>7 The sum of any number and 0 is equal to the number. This is called the _______________.
- 15. Identity and Equality Properties <ul><li>For any number a , the sum of a and 0 is ___. </li></ul>a <ul><li>a + 0 = 0 + a = ___. </li></ul>a <ul><li>7 + 0 = 0 + 7 = ___. </li></ul>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 Property
- 29. 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 Property
- 30. 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 Property
- 31. 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 Property
- 32. 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 Property
- 33. 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 Property
- 34. 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 Property
- 35. 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 Property
- 36. Identity and Equality Properties Any quantity is equal to itself. If one quantity equals a second quantity, then the second quantity equals the first. Symmetric Reflexive Examples Symbols Words Property
- 37. Identity and Equality Properties Any quantity is equal to itself. If one quantity equals a second quantity, then the second quantity equals the first. For any number a, a = a Symmetric Reflexive Examples Symbols Words Property
- 38. Identity and Equality Properties Any quantity is equal to itself. If one quantity equals a second quantity, then the second quantity equals the first. For any number a, a = a Symmetric Reflexive Examples Symbols Words Property
- 39. Identity and Equality Properties Any quantity is equal to itself. If one quantity equals a second quantity, then the second quantity equals the first. For any number a, a = a For any numbers a and b , If a = b then b = a Symmetric Reflexive Examples Symbols Words Property
- 40. Identity and Equality Properties Any quantity is equal to itself. If one quantity equals a second quantity, then the second quantity equals the first. For any number a, a = a For any numbers a and b , If a = b then b = a Symmetric Reflexive Examples Symbols Words Property
- 41. Identity and Equality Properties If one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity. A quantity may be substituted for its equal in any expression. Substitution Transitive Examples Symbols Words Property
- 42. Identity and Equality Properties If one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity. A quantity may be substituted for its equal in any expression. For any numbers a, b, and c, If a = b and b = c, then a = c. Substitution Transitive Examples Symbols Words Property
- 43. Identity and Equality Properties If one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity. A quantity may be substituted for its equal in any expression. For any numbers a, b, and c, If a = b and b = c, then a = c. If 8 = 5 + 3 and 5 + 3 = 6 + 2, then 8 = 6 + 2. Substitution Transitive Examples Symbols Words Property
- 44. Identity and Equality Properties If one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity. A quantity may be substituted for its equal in any expression. For any numbers a, b, and c, If a = b and b = c, then a = c. For any numbers a and b, If a = b then a may be replaced by b in any expression. If 8 = 5 + 3 and 5 + 3 = 6 + 2, then 8 = 6 + 2. Substitution Transitive Examples Symbols Words Property
- 45. Identity and Equality Properties If one quantity equals a second quantity, and the second quantity equals a third quantity, then the first quantity equals the third quantity. A quantity may be substituted for its equal in any expression. For any numbers a, b, and c, If a = b and b = c, then a = c. For any numbers a and b, If a = b then a may be replaced by b in any expression. If 8 = 5 + 3 and 5 + 3 = 6 + 2, then 8 = 6 + 2. If n = 12, then 3 n = 36 Substitution Transitive Examples Symbols Words Property
- 46. Credits End of Lesson! PowerPoint created by http://robertfant.com Robert Fant

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