Question

the subtraction between any two rational numbers is not commutative.explain ​

Answer 1

Question:

The subtraction between any two rational numbers is not commutative . ​

Explain

Solution:

• Commutative Property is not applicable for Division or Subtraction.

• It is only applicable for addition and multiplication .

For Addition:

Let us take 2 numbers a and b and the commutative property of addition states that

$a+b=b+a$

For example :

Let a be 5 and b be 6

$5 + 6 = 6 + 5\\\\11=11\\\\\textsc{L.H.S=R.H.S}$

For multiplication :

Let us take 2 numbers a and b and the commutative property of addition states that

$a \times b = b \times a$

For example :

Let a be 5 and b be 6

$5 \times 6 = 6 \times 5\\\\30=30\\\\\textsc{L.H.S=R.H.S}$

For Subtraction:

Let the numbers be a and b , since commutative is not applicable for subtraction

$a - b \neq b-a$

For example :

Let a be 5 and b be 6

$5 - 6 \neq 6 - 5\\\\-1\neq 1\\\textsc{L.H.S \neq R.H.S}$

Let a be -5 and b be 6

$-5 - 6 \neq 6 -(- 5)\\\\-11\neq 11\\\textsc{L.H.S \neq R.H.S}$

Therefore Commutative Property is not applicable for Subtraction.

For Division:

Let the numbers be a and b , since commutative is not applicable for subtraction

$\frac{a}{b} \neq \frac{b}{a}$

For example :

Let a be 5 and b be 6

$\frac{5}{6} \neq \frac{6}{5}\\\\textsc{L.H.S \neq R.H.S}$

Let a be -5 and b be 6

$-\frac{5}{6}\neq -\frac{6}{5}\\\textsc{L.H.S \neq R.H.S}$

Therefore Commutative Property is not applicable for Division.

Answer:

• Commutative Property is not applicable for Division or Subtraction.

• It is only applicable for addition and multiplication .

Be Brainly!