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Standard VII

Mathematics

Reciprocal of a Fraction

1 is the only...

Question

Question 52

1 is the only number which is its own reciprocal.

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Solution

For obtaining the reciprocal of a number, we simply interchange the numerator and denominator.
Hence, reciprocal of 1 will be $\frac{1}{1},$ i.e. 1. Also reciprocal of -1 is -1

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Q. Fill in the blanks:
(i) The product of a rational number and its reciprocal is .......
(ii) Zero has ....... reciprocal.
(iii) The numbers ....... and ....... are their own reciprocals.
(iv) zero is ....... the reciprocal of any number.
(v) The reciprocal of a, where a ≠ 0, is .......
(vi) The reciprocal of

\frac{1}{a}

, where a ≠ 0, is .......
(vii) The reciprocal of a positive rational rational number is .......
(viii) The reciprocal of a negative rational number is .......

Fill in the blanks :

(i) The product of a rational number and its reciprocal is........

(ii) Zero has..... reciprocal.

(iii) The numbers....... and ....... are their own reciprocals.

(iv) Zero is...... the reciprocal of any number.

(v) The reciprocal of a, where $a \neq 0,$ is....

(vi) The reciprocal of $\frac{1}{a}$ , where $a \neq 0$ , is.....

(vii) The reciprocal of a positive rational number is........

(viii) The reciprocal of a negative rational number is..........

Fill in the blanks :

(i)The product of two positive rational numbers is always_______________.
(iii) The product of two negative rational numbers is always_______________.

(iv) The reciprocal of a positive rational number is _______________.

(v) The reciprocal of a negative rational number is _______________.

(vi) Zero has _______________ reciprocal.

(vii) The product of a rational number and its reciprocal is ____________.

(viii) The numbers_______________and_______________are their own reciprocals.

(ix) If a is reciprocal of b, then the reciprocal of b is _______________.

(x) The number 0 is __________________ the reciprocal of any number.

(xi) Reciprocal of $\frac{1}{a}, a \neq$ is __________________.

(xii) $(17 \times 12)^{- 1} = 17^{- 1} \times$ __________________.

Question 52

1 is the only number which is its own reciprocal.

$1$ is the only number which is its own reciprocal. Say true or false.

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Reciprocal of a Fraction

Standard VII Mathematics

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Question 52 1 is the only number which is its own reciprocal.

For obtaining the reciprocal of a number, we simply interchange the numerator and denominator. Hence, reciprocal of 1 will be 11, i.e. 1. Also reciprocal of -1 is -1

Question 52

1 is the only number which is its own reciprocal.

For obtaining the reciprocal of a number, we simply interchange the numerator and denominator.
Hence, reciprocal of 1 will be $\frac{1}{1},$ i.e. 1. Also reciprocal of -1 is -1