Properties of Rational numbers

15 terms by Genevieve-Isabelle

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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

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