The rational numbers can be closed under division, if divisor and dividend are taken as _____ .

A. Natural Numbers
B. Whole Numbers
C. integers
D. Rational Numbers

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Question 1
A number which can be expressed as p/q, where p and q are integers and q ≠ 0 is:
(a) natural number.
(b) whole number.
(c) integer.
(d) rational number.

Are the following statements true or false ? Give reasons for your answer.

(i) Every whole number is a natural number.

(ii) Every integer is a rational number.

(iii) Every rational number is an integer.

(iv) Every natural number is a whole number.

(v) Every integer is a whole number.

(vi) Every rational number is a whole number.

Which of the following is not true?
(i) Whole numbers are closed under subtraction.
(ii) Integers are not closed under division.
(iii) Rational numbers are closed under division.

Q. Which of the following statements is/are incorrect?
(i) Whole numbers are closed under subtraction.
(ii) Integers are not closed under division.
(iii) Rational numbers are closed under division.
(Hint: A set of numbers is said to be closed under an operation if the result of the operation between the operands belongs to the same set.)

Question 4
Which of the following is not true?
(a) rational numbers are closed under addition.
(b) rational numbers are closed under subtraction.
(c) rational numbers are closed under multiplication.
(d) rational numbers are closed under division.

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The rational numbers can be closed under division, if divisor and dividend are taken as _____ . A. Natural Numbers B. Whole Numbers C. integers D. Rational Numbers

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The rational numbers can be closed under division, if divisor and dividend are taken as _____ .

A. Natural Numbers
B. Whole Numbers
C. integers
D. Rational Numbers