Properties

Question 1

The way you group three numbers when adding or multiplying doesn’t change the answer.

5+2+17=17+2+5
527=257

Answer 1

Associative property

Question 2

For any number a, the sum/product of a number and 0/1 is a.

5+0=5
17*1=17

Answer 2

Identity property

Question 3

A number and its opposite are additive inverses of each other.

4+(-4)=0
Multiplicative:
8/7*7/8=1

Answer 3

Inverse property

Question 4

The product of a number and 0 is 0.

50=0
04=0

Answer 4

Zero product property

Question 5

Lets you multiply a sum by multiplying it by the two addends by the other number individually

7(3+4)=7(3)+7(4)
4(5+9)=4(5)+4(9)

Answer 5

Distributive property

Question 6

Any quantity is equal to itself

5=5
4+7=4+7

Answer 6

Reflexive property

Question 7

If one quantity equals a second quantity, then the second quantity equals the first quantity.

If 4=5, 5=4
If 24537=92638, 92638=24537

Answer 7

Symmetric property

Question 8

If one quantity equals a second, and the second quantity equals a third quantity, then the first quantity equals the third.

If a=b and b=c, then a=c

Answer 8

Transitive property

Question 9

The order in which you add or multiply numbers doesn’t change the sum or product

2+5=5+2
79=97

Answer 9

Commutative property