associative property and commutative property
Answers
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:
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.