Question

If A and B are two whole number than which of the Following is true a+b=b+a , ab=ba , a-b=b-a​

Answer 1

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GIVEN

a and b are two whole numbers

TO CHECK

Which of the following options are correct :

• a + b = b + a

• ab = ba

• a - b = b - a

EVALUATION

The set of Whole numbers is denoted by W and defined as

$\sf{ \: W = \{ 0,1,2,3, 4, 5,........ \} \: }$

CHECKING FOR OPTION : 1

The set of Whole numbers W is Commutative Under addition

In details for any two whole numbers a , b

$\sf{ \: a + b = b + a\: }$

So OPTION 1 is CORRECT

CHECKING FOR OPTION : 2

The set of Whole numbers W is Commutative Under multiplication

In details for any two whole numbers a , b

$\sf{ \: a b = b a\: }$

So OPTION 2 is CORRECT

CHECKING FOR OPTION : 3

The set of Whole numbers W is NOT Commutative Under subtraction

In details for any two whole numbers a , b

$\sf{ \: a - b \ne \: b - a\: }$

For example

Take two whole numbers 2 & 3

Then

$\sf{2 - 3 = - 1}$

$\sf{ 3 - 2 = 1\: }$

Hence

$\sf{2 - 3 \ne \: 3 - 2 \: }$

So OPTION 3 is NOT CORRECT

RESULT

Thus OPTION

• a + b = b + a
• ab = ba

are CORRECT

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