KnowledgeBoat Logo
|

Mathematics

Statement 1: For a rational number 79,790=79 and 079=79\dfrac{7}{9}, \dfrac{7}{9} - 0 = \dfrac{7}{9} \text{ and } 0 - \dfrac{7}{9} = - \dfrac{7}{9}. Hence, Subtraction has only right identity.

Statement 2: Subtraction has no identity.

Which of the following options is correct?

  1. Both the statement are true.

  2. Both the statement are false.

  3. Statement 1 is true, and statement 2 is false.

  4. Statement 1 is false, and statement 2 is true.

Rational Numbers

1 Like

Answer

For a rational number 79,790=79 and 079=79\dfrac{7}{9}, \dfrac{7}{9} - 0 = \dfrac{7}{9} \text{ and } 0 - \dfrac{7}{9} = - \dfrac{7}{9}

We know that,

For any number a,

a - 0 = a and 0 - a ≠ 0

Thus, subtraction only has right identity.

So, statement 1 is true.

Subtraction has 0 as right identity element.

So, statement 2 is false.

Hence, option 3 is the correct option.

Answered By

1 Like


Related Questions