Introduction to Natural Numbers, Whole Numbers, and Integers

Q.

Integers are closed under addition. What are closed property means?

Q. Select the rational numbers from the list which are also the integers.​ [3 marks]

Q.

Find two rational numbers between $\frac{1}{2}$and$\frac{3}{4}$.

Q. Natural numbers are called as .

1. Negative Integers
2. Positive Integers
3. Fractions
4. Irrational Numbers

Q.

Integers are not closed under which opeartions?

1. Addition

2. Multiplication

3. Subtraction

4. Division

Q.

The number of natural numbers between 15 and 20 is ___.

Q. A collection of positive natural numbers , their negative counter parts and 0 is called

Q. $A=\{\frac{4}{7},1,\frac{5}{2},4,\frac{11}{2},7\}$
$B=\{\frac{4}{7},\frac{7}{4},4,7\}$
If $n$ is a member of both set $A$ and set $B$ above, which of the following must be true?
I. $n$ is an integer
II. $4n$ is an integer
III. $n=4$

1. II only
2. None
3. I and II only
4. I and III only
5. I, II, and III

Q.

The number of whole numbers and integers between -2 and 3 are ___and ___ respectively.

Q.

Which of the following statements are true?

(i) Every whole number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number but it is not a rational number.

1. (i)

2. (i), (ii) and (iii)

3. (i) and (ii) only

4. (ii) and (iii) only

Q.

Is $0$ a rational, irrational, natural, whole, integer or real number?

Q. All natural numbers are rational numbers.

1. False
2. True

Q.

How many natural numbers are there
$\text{between}\frac{3}{10}\text{and}\frac{7}{10}$?

1. 0

2. 1

3. 2

4. 3

Q.

Which of the following statements are true?

(i) Every whole number is a rational number.

(ii) Every integer is a rational number.

(iii) 0 is a whole number but it is not a rational number.

1. (i) and (ii) only

2. (i)

3. (i), (ii) and (iii)

4. (ii) and (iii) only