Department of Mathematical Sciences | Kent State University



Find the additive inverse of each number.

1. 15 2. – 27 3. [pic] 4. [pic] 5. 0 6. – 1

Find the multiplicative inverse of each number.

7. 15 8. – 27 9. [pic] 10. [pic] 11. 1 12. [pic]

Determine which properties of real numbers that is applied in each statement in exercise 13 – 30.

The properties of real numbers are:

Commutative property of addition

Commutative property of multiplication

Associative property of addition

Associative property of multiplication

Additive identity

Additive inverse

Multiplicative identity

Multiplicative inverse

Distributive property

13. 43 + 25 = 25 + 43

14. [pic]

15. [pic]

16. [pic]

17. [pic]

18. [pic]

19. [pic]

20. [pic]

21. [pic]

22. [pic]

23. [pic]

24. [pic]

25. [pic]

26. [pic]

27. [pic]

28. [pic]

29. [pic]

30. [pic]

31. [pic]

Use the indicated properties of real numbers to complete the blanks of the following statements.

32. [pic] _________ + __________ Commutative property of Addition

33. 5 + ( 7 + 6) = ( ______+ ______) + _______ Associative property of Addition

34. [pic]_____ = ________ Additive Identity

35. [pic] _____ = 1 Multiplicative Inverse

36. [pic] = __________ Commutative property of Multiplication

37. [pic] = _________________ Associative property of Multiplication

38. [pic]________________________ Distributive property

39. [pic] _________________________ Distributive property

40. [pic]__________________________ Associative property of Multiplication

Answers to Supplemental Problems to Chapter 1, Sec 11

1. –15 2. 27 3. – [pic] 4. [pic] 5. 0 6. 1

7. [pic] 8. [pic] 9. [pic] 10. [pic] 11. 1 12. 8

Commutative property of addition

Commutative property of multiplication

Associative property of addition

Associative property of multiplication

Additive identity

Additive inverse

Multiplicative identity

Multiplicative inverse

Distributive property

13. 43 + 25 = 25 + 43 Commutative property of addition

14. [pic] Associative property of multiplication

15. [pic] Commutative property of addition

16. [pic] Associative property of addition

17. [pic] Commutative property of multiplication

18. [pic] Distributive property

19. [pic] Distributive property

20. [pic] Commutative property of addition

21. [pic] Additive inverse

22. [pic] Commutative property of multiplication

23. [pic] Additive inverse

24. [pic] Additive identity

25. [pic] Distributive property

Answers to Supplemental Problems to Chapter 1, Sec 11

26. [pic] Multiplicative identity

27. [pic] Multiplicative inverse

28. [pic] Associative and Commutative properties of multiplication

29. [pic] Multiplicative inverse

30. [pic] Associative and Commutative properties of addition

31. [pic] Commutative and Distributive properties

32. [pic] 43 + 50 Commutative property of Addition

33. 5 + ( 7 + 6) = ( 5+ 7) + 6 Associative property of Addition

34. [pic] 0 = – 15 Additive Identity

35. [pic] [pic] = 1 Multiplicative Inverse

36. [pic] = 4[pic] Commutative property of Multiplication

37. [pic] = (7 • 8 ) • 5 Associative property of Multiplication

38. [pic] 11• 14 + 11• 16 Distributive property

39. [pic] 14 (3) – 20 ( 3) Distributive property

40. [pic] [pic] Associative property of Multiplication

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