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Write.

(i) The rational number that does not have a reciprocal.

(ii) The rational numbers that are equal to their reciprocal.

(iii) The rational number that is equal to its negative.

Answer:

(i) The rational number that does not have a reciprocal is 0.

Reason: \begin{aligned} &0=\frac{0}{1}\\ &\text { Reciprocal of } 0=\frac{1}{0}, \text { which is not defined. } \end{aligned}

(ii) The rational numbers that are equal to their reciprocals are 1 and -1.

Reason: \begin{aligned} &1=\frac{1}{1}\\ &\text { Reciprocal of } 1=\frac{1}{1}=1 \text { Similarly, Reciprocal of }-1=-1 \end{aligned}

(iii) The rational number that is equal to its negative is 0.

Reason:

Negative of 0=-0=0

"hello students i am rita your math
leader tutor and the today's question is
write in the first part the rational
number that does not have a reciprocal
and the answer of the first part is
0 because the reciprocal of
0 is because the resin
of 0 is 1
by 0 that is that is infinity
that is does not exist
that's why 0
have no resi broken
now we come to the second part
the question is the rational number that
are equal
to their reciprocal and the answer of
this question is
1 because the reciprocal of
1 is the reciprocal
of 1 is again 1 by 1 it becomes again
1 so the answer is 1 now
in the third part the question is the
rational number that is equal
to its negative the rational number
that is equal to its negative so the
answer of this question is
0 because minus 0 is equal to
again 0 and that 0 by 1
is a rational number and minus 0 by one
is again a
zero so the answer of this question is
zero i hope you like this video so
please subscribe leto for more updates
and do comment your questions
thank you
"

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