Question

Verify the identy property for addition and multiplication for the rational number 15/19 and -18/25

Answer 1

Answer:

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

19

15

TO FIND :

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

19

15

is true

SOLUTION :

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

19

15

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}

19

15

Now put a=\frac{15}{19}a=

19

15

we get

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

19

15

+0=

19

15

⇒ 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=aa×1=a

For the number \frac{15}{19}

19

15

Now put a=\frac{15}{19}a=

19

15

we get

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

19

15

×1=

19

15

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

Explanation:

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