| __ | 1. | (-a)+a=0; a+(-a)=0 | | A. | Commutative property of addition |
| __ | 2. | (a*b)*c=a*(b*c) | | B. | Associative property of addition |
| __ | 3. | (a+b)+c=a+(b+c) | | C. | Commutative property of multiplication |
| __ | 4. | 1/a*a=1; a*1/a=1 | | D. | Identity property of addition |
| __ | 5. | a(b+c)=ab+ac | | E. | Inverse property of addition |
| __ | 6. | a*0=0; 0*a=0 | | F. | Inverse property of multiplication if a doesn't equal 0 |
| __ | 7. | a*1=1*a=a | | G. | Distributive property of multiplication |
| __ | 8. | a*b=b*a | | H. | Associative property of Multiplication |
| __ | 9. | a+0=0+a=a | | I. | Identity property of multiplication |
| __ | 10. | a+b=b+a | | J. | Multiplication property of zero |