# Fill in the blanks. (1) Zero has ________ reciprocal. (2) The numbers ________ and ________ are their own reciprocals. (3) The reciprocal of 5 is ________. (4) Reciprocal of 1/x, where x ≠ 0 is ________. (5) The product of two rational numbers is always a _______. (6) The reciprocal of a positive rational number is ________

We will use the definition of reciprocal to answer this question.

## Answer: (1) no (2) 1, -1 (3) 1/5 (4) x (5) rational number (6) positive rational number

The reciprocal of a given number when multiplied by that number gives one as a product. A rational number is a number that is of the form p/q where p and q are integers and q is not equal to 0.

**Explanation:**

(1) Zero has __no__ reciprocal.

(2) The numbers __1__ and __-1__ are their own reciprocals.

(3) The reciprocal of 5 is __1/5__.

(4) Reciprocal of 1/x, where x ≠ 0 is** **__x__.

(5) The product of two rational numbers is always a __rational number__.

(6) The reciprocal of a positive rational number is a __positive rational number__.

### Therefore, the answers are: (1) no (2) 1, -1 (3) 1/5 (4) x (5) rational number (6) positive rational number

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