Question

Verify the identity property for addition and multiplication for the rational numbers 15/ 19 and −18 /25 .

Answer 1

GIVEN :

Verify the identity property for addition and multiplication for the rational numbers $\frac{15}{19}$ and $-\frac{18}{25}$

TO FIND :

The identity property for addition and multiplication for the rational numbers $\frac{15}{19}$ and $-\frac{18}{25}$ is true

SOLUTION :

Given that the rational numbers are $\frac{15}{19}$ and $-\frac{18}{25}$

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

Identity property for addition for the rational numbers :

For any real number 'a' we have

i) a+o=a

For the numbers $\frac{15}{19}$ and $-\frac{18}{25}$

Now put a=$\frac{15}{19}$ we get

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

Now put a=$-\frac{18}{25}$

$-\frac{18}{25}+0=-\frac{18}{25}$

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

Identity property for multiplication for the rational numbers :

For any real number 'a' we have

i) $a\times 1=a$

For the numbers $\frac{15}{19}$ and $-\frac{18}{25}$

Now put a=$\frac{15}{19}$ we get

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

Now put a=$-\frac{18}{25}$

$-\frac{18}{25}\times 1=-\frac{18}{25}$

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

Answer 2

Answer:

verify the identity property for addition and multiplication for rational number 15/19 and-18/25