The document discusses various identity and equality properties in mathematics, including: - The additive identity property, where adding any number to 0 results in the original number. - The multiplicative identity property, where multiplying any number by 1 results in the original number. - Multiplicative inverse/reciprocal properties, where two numbers multiply to give 1. It provides examples of using these properties to solve equations and expressions.

1. Identity and Equality Properties

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 .

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

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