Can some one help me tell the difference between the commutative and associative property.?

Answer 1

Commutative property is rearranging (think of going back and forth to school as part of your "commute"). The order of something changes as a and b swap places.

Examples of commutative property:
a + b = b + a
a x b = b x a

Associative property is grouping (think about the friends you "associate" with). The grouping of terms changes as a and b associate in one instance, then b and c associate the next.

Example of associative property:
(a + b) + c = a + (b + c)
(a x b) x c = a x (b x c)

Answer 2

Commutative property means that the order of the numbers in an expression doesn't change the result.

2+5 = 5+2 = 7

3*6 = 6*3 = 18

The associative property means that the order of the operations doesn't change the results.

(2+5)+6 = 2+(5+6) = 13

(3*6)*2 = 3*(6*2) = 36

So the commuative property is about the order of the operands and the associative property is about the order of the operations.

Answer 3

Commutative is only two numbers. The Commutative Property of Multiplication or Addition states that it doesn't matter what order you add or multiply the two numbers in, it will always come out the same.

Example: 5*8=40 and 8*5=40

Associative is with three or more numbers. The property states that you must multiply or add all three (or more) numbers together, but no matter which way you add or multiply them, they will come out the same.

Example:

(1+2)+3=6
1+(2+3)=6

Answer 4

the first one is that the commutative property is when you you can change the order of the numbers and have the same answer. the associative property is when you can change the placement of the grouping symbol and get the same answer. 1. grouping symbols are used in pemdas (parentheses, exponents, multiplication, division, addition, subtraction.) and do the p of pemdas. 2.You put the decimal point in front of the 1st number and multiply it by 10 to a certain power. example: 4691= 4.691 x 10^3 3. Identity property= 6x1=6

Answer 5

for multiplication
3 * 4 = 4 * 3 commutative switching positions
(12 * 9) * 5 = 12 * (9 * 5) associative switching grouping
for addition
3.1 + 2.6 = 2.6 + 3.1 commutative again, switching positions
(6 + 4) + 9 = 6 + (4 + 9) associative switching grouping

Answer 6

The commutative property allows you to rearrange the order of terms in an expression.

a + b = b + a

The Associative Property allows you to regroup terms in an expression:

(a + b) + c = a + (b + c)

Answer 7

commutative property eg: 3+5=5+3


associative property eg: 5+(8+2)=(5+8)+2

Answer 8

Commutative is - a+b = b+a
Associative is - (a+b)+c = a+(b+c)