Basic Arithmetic
Properties
Definition Example
Changing the order of addends
2+4=4+2
does not affect the sum(end result)
Commutative a+b = b+a
Property Changing the order of factors
3x2 = 2x3
does not affect the product(result)
a x b=b x a
Multiplying a number by a group of
numbers added together gives the same
Distributive result as multiplying each number
individually and then adding the results 2(5+5)=2x5 + 2x5
Property = 20
a(b+c) = ab+ac
Changing the grouping of addends
doesn’t change the sum 1+ (1+2)= (1+1) + 2
Associative a+ (b+c)= (a+b) + c
Changing the grouping factors does
Property not change the product. 1x (1x2) = (1x1) x 2
a x (bxc)= (axb) x c
The sun of zero(0) and any number
is that number 6+0=6
Identity a+0= a
The product of one(1) and any
Property number, is that number 6x1= 6
ax1=a
@JenJenshops
Properties
Definition Example
Changing the order of addends
2+4=4+2
does not affect the sum(end result)
Commutative a+b = b+a
Property Changing the order of factors
3x2 = 2x3
does not affect the product(result)
a x b=b x a
Multiplying a number by a group of
numbers added together gives the same
Distributive result as multiplying each number
individually and then adding the results 2(5+5)=2x5 + 2x5
Property = 20
a(b+c) = ab+ac
Changing the grouping of addends
doesn’t change the sum 1+ (1+2)= (1+1) + 2
Associative a+ (b+c)= (a+b) + c
Changing the grouping factors does
Property not change the product. 1x (1x2) = (1x1) x 2
a x (bxc)= (axb) x c
The sun of zero(0) and any number
is that number 6+0=6
Identity a+0= a
The product of one(1) and any
Property number, is that number 6x1= 6
ax1=a
@JenJenshops
