Rearrangement Property says that numbers can be added in any order like: 2/5+5/3+9/5+10/3=2/5+9/5+10/3+5/3=36/5
If we add two rational numbers and get answer a rational number so this property is known as closure property like: 1/2+2/4=4/4
Addition
Addition is closed for Rational numbers
Subtraction
Subtraction is closed for Rational numbers
Multiplication
Multiplication is closed for Rational numbers
Division
Division is closed for Rational numbers
Distributive Property says that a(b+c)=ab+ac
If we interchange the digit and get the same answer so this property is known as commutative property like: 4+7=7+4=11
Addition
Addition is commutative for Rational numbers
Subtraction
Subtraction is not commutative for Rational numbers
Multiplication
Multiplication is commutative for Rational numbers
Division
Division is not commutative for Rational numbers
If we change the grouping and get the same same answer so this property is known as associative property like: 7(4x8)=8(7x4)=224
Addition
Addition is associative for Rational numbers
Subtraction
Subtraction is not commutative for Rational numbers
Multiplication
Multiplication is commutative for Rational numbers
Division
Division is not commutative for Rational numbers