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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
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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