Multiplication of Rational Numbers

Name the property of multiplication of rational number illustrated by the statement: (-17)/(5)x9=9x(-17)/(5)

Name the property of multiplication of rational number illustrated by the statement: (-11)/(16)x(16)/(-11)=1

Name the property of multiplication of rational number illustrated by the statement: (2)/(13)x0=0=0x(2)/(13)

Name the property of multiplication of rational number illustrated by the statement: (-5)/(16)x(8)/(15)=(8)/(15)x(-5)/(16)

Name the property of multiplication of rational number illustrated by the statement: (13)/(-17)x1=(13)/(-17)=1x(13)/(-17)

Name the property of multiplication of rational number illustrated by the statement: (-5)/(9)x((4)/(15)x(-9)/(8))=((-5)/(9)x(4)/(15))x(-9)/(8)

Name the property of multiplication of rational number illustrated by the statement: (-3)/(2)x(5)/(4)+(-3)/(2)x(-7)/(6)=(-3)/(2)x((5)/(4)+(-7)/(6))

Name the property of multiplication of rational number illustrated by the statement: (7)/(4)x((-8)/(3)+(-13)/(12))=(7)/(4)x(-8)/(3)+(7)/(4)x(-13)/(12)

The multiplication of a rational number x and an irrational number y is

Give one example each to show that the rational numbers are closed under addition, subtraction and multiplication. Are rational numbers closed under division? Give two examples in support of your answer.