Question

Verify the identity property for addition and multiplication for the rational number 15÷19

Answer 1

GIVEN :

Verify the identity property for addition and multiplication for the rational number   $\frac{15}{19}$

TO FIND :

The identity property for addition and multiplication for the rational number  $\frac{15}{19}$ is true

SOLUTION :

Given that the rational number is    $\frac{15}{19}$

Now we can verify the identity property for addition and multiplication for the rational number :

Identity property of addition for the rational numbers :

For any real number 'a' we have

i) a+o=a

For the number $\frac{15}{19}$

Now put   $a=\frac{15}{19}$ we get

$\frac{15}{19}+0=\frac{15}{19}$

⇒ Identity property of addition for the given rational number is true and is verified.

Identity property of multiplication for the rational numbers :

For any real number 'a' we have

i)   $a\times 1=a$

For the number  $\frac{15}{19}$

Now put   $a=\frac{15}{19}$ we get

$\frac{15}{19}\times 1=\frac{15}{19}$

⇒ Identity property of multiplication for the given rational number is true and is verified.