Question

write down all the properties of addition subtraction multiplication and division of integers​

Answer 1

Answer:

1. commutative property

for addition = a+b=b+a

for multipilication=a*b=b*a

2. associative property

for addition=(a+b)+c=a+(b+c)

forultiplication=(a*b)*c=a*(b*c)

3. identity property

for addition a+0=a or 0+a=a

for multiplication a*1=a or 1*a=a

4. distributive proprty

for both a*(b+c)=(a*b)+(a*c)

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Answer 2

Step-by-step explanation:

Explained below

Associative property:

Associative law states that the order of grouping the numbers does not matter. This law holds for addition and multiplication but it doesn’t hold for subtraction and division.

Addition:

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

Subtraction:

a-(b-c) ≠ (a-b) – c.

Multiplication:

a x (b x c) = (axb) x c

Division:

a ÷ (b ÷ c) ≠ (a ÷ b) ÷ c

associative law doesn’t hold for division.

Distributive property over addition:

a(b+c) = ab + ac

Commutative property:

Commutative property states that there is no change in result though the numbers in an expression are interchanged. Commutative property holds for addition and multiplication but not for subtraction and division.

Addition:

a+b = b+a.

Subtraction:

a-b ≠ b-a.

Multiplication:

a x b = b x a

Division:

a ÷ b ≠ b ÷ a

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