Properties of Whole Number Arithmetic

Question 1

Closure

Answer 1

Let a & b be any whole numbers. The number a + b is also a whole number

Question 2

Commutative

Answer 2

Let a & b be any whole numbers. a+b = b+a

Question 3

Associative

Answer 3

Let a,b & c be any whole numbers. a + (b + c) = (a+b)+c

Question 4

Identity

Answer 4

a+0=0+a=a

Question 5

Identity(Multiplication)

Answer 5

ax1=1xa=a

Question 6

Zero Multiplication

Answer 6

ax0=0xa=a

Question 7

Distributive property of multiplication over addition

Answer 7

ax(b+c)=axb+axc