Properties Of The Math World

Front 1

additive identity

Back 1

any number plus 0 is that number
6+0=6

Front 2

multiplicative identity

Back 2

any number times 1 is that number
9*1=9

Front 3

multiplicative property of zero

Back 3

any number times 0 is 0
8*0=0

Front 4

multiplicative inverse

Back 4

any number times its reciprocal is 1
7 * 1/7 =1

Front 5

reflexive

Back 5

any number equals itself
5=5

Front 6

symmetric

Back 6

if the first quantity equals the second quantity then the second quantity equals the first
A=4 then 4=A

Front 7

transitive

Back 7

if one quantity equals the second quantity and the second quantity is equal to the third quantity then the first quantity equals the third quantity
A=B
B=3
A=3

Front 8

substitution

Back 8

a quantity may be replaced for its equal in a expression
5+3=2+6
8=2+6

Front 9

distributive

Back 9

take the inside number(s) multiply them by the outside numbers
a(b+c)=ab+ac
a(b-c)=ab-ac

Front 10

commutative

Back 10

when adding or multiplying the order does not change the sum or product; change #
3+6=6+3

Front 11

associative

Back 11

when adding or multiplying three or more numbers the way you group them doesnt change the answer; change ()
(1*2)*3=1*(2*3)