Rational Numbers Multiple Choice Questions

Rational Numbers Questions and Answers

1. What are rational numbers?

A. The set of integers and the set of fractions together is the set of rational numbers

B. The set of positive integers and the set of negative integers together form the set of integers

C. Positive and negative numbers are collectively called rational numbers

D. Positive, negative, and zero are collectively called rational numbers

Answer: A


2. Every rational number is a -

A. Whole number

B. Real number

C. Natural number

D. None of the above 

Answer: B


3. A rational number can be represented in the form of__________

A. p/q

B. pq

C. p+q

D. p-q

Answer: A


4. Which of the following is a rational number?

A. 0

B. 2√3

C. 2+√3

D. π

Answer: A


5. A group of rational numbers is an example of___________                    

A. a subgroup of a group of integers

B. a subgroup of a group of real numbers

C. a subgroup of a group of irrational numbers

D. a subgroup of a group of complex numbers

Answer: B


6. How many rational numbers are there between any two given rational numbers?

A. Only Ten

B Only 50

C. Countless

D. Nothing can be said.

Answer: C


7. Which of the following is commutative for rational numbers?

A. Addition and subtraction

B. Addition and multiplication

C. Multiplication and division

D. Subtraction and division

Answer: B


8. The reciprocal of a positive rational number is_________

A. a positive rational number

B. a negative rational number

C. 0

D. 1.

Answer: A


9. Which of the following statements is correct_________

A. Rational numbers include whole numbers and fractions

B. Two numbers with different signs are opposites of each other

C. Rational numbers include positive and negative numbers

D. The reciprocal of a is 

1/a

 Answer: A


10. There are the following two conclusions:

(1) There is at least one rational number between any rational number and its inverse;

(2) If a rational number has a reciprocal, then there is at least one rational number between this rational number and its inverse

A. (1), (2) are not correct

B. (1) Yes, (2) No

C. (1) and (2) are both correct

D. (1) No, (2) Yes

Answer: A


11. Which of the rational numbers 4/9, -5/6, -7/-12 and 11/-24 is the smallest?

A. 4/9

B. -5/6

C. -7/-12

D. 11/-24

Answer: B


12. In rational numbers, there is no such a number a, which________

A. Both natural numbers and integers

B. Both a fraction and a negative number

C. Both non-positive and non-negative numbers

D. Both positive and negative numbers

Answer: D

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