Math, asked by sheikhaayans20, 6 months ago

associative property and commutative property​

Answers

Answered by Anonymous
5

Answer:

In math, the associative and commutative properties are laws applied to addition and multiplication that always exist. The associative property states that you can re-group numbers and you will get the same answer and the commutative property states that you can move numbers around and still arrive at the same answer.

Step-by-step explanation:

Answered by AlphinGame
1

Answer:

COMMUTATIVE PROPERTY:

Two or more whole numbers can be added or multiplied in any order as the

result will always remain same. For example: 6 + 7 = 13 or 7 + 6 = 13 that is, 6 + 7 = 7 + 6 = 13.

Similarly, 6 x 7 = 42 or 7 x 6 = 42 that is, 6 x 7 = 7 x 6 = 42.

Thus, addition and multiplication are Commutative for whole numbers.

Commutative property of whole numbers does not hold true for subtraction and  division

ASSOCIATIVE PROPERTY: For any given whole numbers a, b and

c the sum and product of three numbers remain the same irrespective of

the order, that is

(a + b) + c = a + (b + c) = (a + c) + b and (a × b) × c = a × (b × c) =

(a × c) × b

For example: (5 + 3) + 7 = 8 + 7 = 15 or 5 + (3 + 7) = 5 + 10 = 15

or (5 + 7)+3 = 12+3 = 15.

In each case the answer is same.

Similarly, (8 × 3) × 2 = 24 × 2 = 48 or 8 × (3 × 2) = 8 × 6 = 48

or (8 × 2) × 3 = 16 × 3 = 48.

In each case the answer is same.

Thus , addition and multiplication of whole numbers is ASSOCIATIVE.

Associative property of whole numbers does not hold true

for subtraction and division.

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