Question

Which of the following operations satisfies the
commutative law for whole numbers?
A. Subtraction and division
B. Subtraction and multiplication
C. Division and multiplication
D. Addition and multiplication​

Answer 1

Answer:

d) addition and multiplication

Answer 2

$\fontsize{18}{10}{\textup{\textbf{Correct option:(D) Addition and multiplication.}}}$

Step-by-step explanation:

We know that if a and b are any two whole numbers, then

$(i)~a+b=b+a,\\\\(ii)~a-b\neq b-a,\\\\(iii)~a\times b=b\timea a,\\\\(iv)~\dfrac{a}{b}\neq \dfrac{b}{a}.$

For example, let a = 4  and  b = 2.

Then, we see that

$(i)~a+b=4+2=6=2+4=b+a,\\\\(ii)~a-b=4-2=2\neq -2=2-4=b-a,\\\\(iii)~a\times b=4\times2=8=2\times4=b\times a,\\\\(iv)\dfrac{a}{b}=\dfrac{4}{2}=2\neq\dfrac{1}{2}=\dfrac{2}{4}=\dfrac{b}{a}.$

Therefore, only addition and multiplication satisfies the commutative law for whole numbers.

Thus, (D) is CORRECT.

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Question : Verify whether addition of integers follows associative law and commutative law not support your answer with at least three examples .

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