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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