Question

properties of real numbers

Answer 1

1.  Commutative Property of Addition 
a + b = b + a 2 + 3 = 3 + 2 2. Commutative Property of Multiplication 
a • b = b • a 2 • ( 3 ) = 3 • ( 2 ) 3. Associative Property of Addition 
a + ( b + c ) = ( a + b ) + c  2 + ( 3 + 4 ) = ( 2 + 3 ) + 4 4.  Associative Property of Multiplication 
a • ( b • c ) = ( a • b ) • c 2 • ( 3 • 4 ) = ( 2 • 3 ) • 4 5. Distributive Property 
a • ( b + c ) = a • b + a • c 2 • ( 3 + 4 ) = 2 •  3 + 2 • 4 6. Additive Identity Property
a + 0 = a 3 + 0 = 3 7.  Multiplicative Identity Property 
a •  1 = a 3 • 1  = 3 8. Additive Inverse Property 
a + ( -a ) = 0 3 + (-3) = 0 9.  Multiplicative Inverse Property 

Note: a cannot = 010.Zero Property
a • 0 = 05 • 0 = 0

Answer 2

Commutative property of Addition
a + b = b + a
Commutative property of addition
a * b = b* a
Associative property of additiont
a + ( b + c ) = ( a + b ) + c 
Associative property of multiplication
a * ( b *c ) = ( a * b ) * c
Distributive property
a * ( b + c ) = a * b + a • c
Additive Indentity property
a + 0 = a
Multiplicative Identity Property 
a * 1= a
Additive Inverse Property
a+( -a)= 0
Multiplicative Inverse Property 
a* ( 1/ a) =1
Zero Property
a*0 = 0