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Closure property of adding
Add 2 real number = real number
Closure properties of subtraction
Subtract 2 real numbers = real numbers
Closure properties of multiplication
Multiply 2 real numbers = real number
Closure properties of division
Divide 2 real numbers= real number
Commutative properties of addition
A+b=b+a
Commutative properties of multiplication
ab=ba
Associative properties of addition
(a+b)+c=a+(b+c)
Distributive property
a(b+c)=ab+ac
Identity properties of adding
a+0=a
Identity properties of multiplicative
ax1= a (a times 1)
Inverse properties of adding
7+-7= 0 or -2+2=0 (sum of 2 numbers = 0)
Inverse properties of multiplication
2Ă—0.5=1 (product of 2 numbers =1) or flip the fraction
Multiplication property of 0
ax0=0
Multiplication property of 1
ax1=a
Symmetric property
If x=y, then y=x