15 terms

All the properties of rational numbers with examples.

order of numbers can change (addition and multiplication)

Commutative property

grouping of numbers can change (addition and multiplication)

associative property

commutative property

a+b = b+a

associative property

(a+b)+c = a+(b+c)

when added to a number, the number stays the same (0)

additive identity

additive identity

a+0 = a

when multiplied by a number, the number stays the same (1)

multiplicative identity

multiplicative identity

a(1)= a

when added to a number, sum = 0

additive inverse

additive inverse

2+(-2)= 0

when multiplied by a number, product = 1

multiplicative inverse

multiplicative inverse

a(1/a)=1

any number multiplied by 0 = 0

multiplication property of zero

multiplication property of zero

a(0)=0

distributive property

a(b+c) = ab + ac