Question

Identify what Number property is shown for each statement

1. Commutative property of multiplication
3. Associative property of Addition
4.Associative property of multiplication
5. Symmetric property
6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
10. Zero property of multiplication
11. Additive identity
12. Multiplicative identity






A. 21=21

B. If k=15 and 5 = 3m. Then k = 3m

C. 7+4=4+7

D. 9x0=0

E. 4+0=4

F. (5x3)x4=5x(3x4)

G. 10x3=3x10

H. 19x1=19

I. 8x1/2=1

J. If 11 = y then y = 11

K. (6+2) + 1 = 6 + 2 + 1

L. 2+(2-)=0

Answer 1

Explanation:

G. 10x3=3x10 1. Commutative property of multiplication

3. Associative property of Addition

F. (5x3)x4=5x(3x4) 4.Associative property of multiplication

J. If 11 = y then y = 11 5. Symmetric property

A. 21=21 6. Reflexive property

7. Transitive property

8. Zero property of multiplication

9. multiplicative inverse

D. 9x0=0 10. Zero property of multiplication

E. 4+0=4 11. Additive identity

H. 19x1=19 12. Multiplicative identity

B. If k=15 and 5 = 3m. Then k = 3m This statement is not true.

This may be the transitive property, but this was written incorrectly. You have 15 in k = 15, but 5 in 5 = 3m.

C. 7+4=4+7 This is commutative property of addition, which is not listed above

I. 8x1/2=1 This statement is false. Maybe you meant 8 x 1/8 = 1. Then it is 9. Multiplicative inverse.

K. (6+2) + 1 = 6 + 2 + 1 This does not illustrate anything.

Maybe you missed the parentheses on the right side: 6 + (2 + 1). Then it is the associative property of addition.

L. 2+(2-)=0 If this were 2 + (-2) = 0, then it would be Additive Inverse, but I don't see this listed above.

Answer 2

1. Commutative property of multiplication = G. 10x3=3x10

3. Associative property of Addition = K. (6+2) + 1 = 6 + (2 + 1)

4. Associative property of multiplication = F. (5x3)x4=5x(3x4)

5. Symmetric property = J. If 11 = y then y = 11

6. Reflexive property = A. 21=21

7. Transitive property = B. If k=15 and 5 = 3m. Then k = 3m

8. Zero property of multiplication = D. 9x0=0

9. multiplicative inverse = I. 8x1/2=1

10. Zero property of multiplication = L. 2+(2-)=0

11. Additive identity = E. 4+0=4

12. Multiplicative identity = H. 19x1=19

Hope this helps!