Math properties

Question 1

Associative property

Answer 1

The grouping changes, but the order doesn’t.

Question 2

Commutative property

Answer 2

The order of the numbers changes.

Question 3

Indentity property

Answer 3

Any number plus zero = itself

Any number times 1 = itself

Question 4

Inverse property

Answer 4

Any number plus its opposite = 0

Any number times its reciprocal = 0

Question 5

Multiplicative property of zero

Answer 5

Any number times zero equals zero

Question 6

Distributive property

Answer 6

The number outside of the parentheses is “passed out” or multiplied by each term inside the parentheses.

Question 7

APOE

Answer 7

An equation stays in balance if you add the same number to both sides of the equal sign.

Question 8

SPOE

Answer 8

An equation stays in balance if you subtract the same number to both sides of the equal sign.

Question 9

MPOE

Answer 9

An equation stays in balance if you multiply the same number to both sides of the equal sign.

Question 10

DPOE

Answer 10

An equation stays in balance if you divide the same number to both sides of the equal sign.

Question 11

Substitution property

Answer 11

If values are equal, then one value may be substituted for the other.

Question 12

Transative property

Answer 12

If two numbers (x and y) are equal to each other and x is equal to z, then y is also equal to z.

Question 13

Reflexive property

Answer 13

Any value is equal to itself.

Question 14

Symmetric property

Answer 14

If one value is equal to another, then the order around the equal sign can change.