Whole Numbers and Natural Numbers

Q.

What is a positive integer

Q.

Is $0$ a rational or irrational number?

Q. Can a natural number be negative?

Q.

A rational number whose product with a given rational number is equal to the given rational number is ?

Q. Which of the following are natural numbers?

1. 0.5
2. 1
3. $\frac{4}{5}$
4. 5

Q. Match the following for rational numbers-

1. associative
2. always closed
3. not associative
4. cannot be 0

Q.

$\frac{0}{18}$ is a rational number.

1. True
2. False

Q.

The following pair of sets is:

A = {2, 3, 5, 7, 11}.

B = {prime numbers < 12}.

1. disjoint sets

2. null set or empty set

3. equivalent sets

4. equal sets

Q. There are infinitely many rational numbers between 5 and 7.

1. True
2. False

Q. Question 95
Every whole number is an integer.

Q. Why is zero not a natural number?

Q. There are infinite rational numbers between any two given integers.

1. True
2. False

Q.

The product of two whole numbers is always a whole number.

1. True

2. False

Q.

We know that $0\times 0=0$. Is there any other whole number that when multiplied by itself gives the product equal to the number itself?

Q.

Question 69

State whether the following statement is true or false:

Let x and y be natural numbers. If x divides y, then $x^3$ divides $y^3$

Q. How many rational numbers exist between any two given rational numbers?

1. One and only one rational number
2. Only ten rational numbers
3. Infinitely many rational numbers
4. Only two rational numbers

Q.

State whether true or false
Every whole number is an integer.

1. False

2. True

Q. If x and y are rational numbers then, show that x2-y2 are also rational numbers

Q. Question 95
Every whole number is an integer.

Q. How many rational numbers lie(s) between 2 and 5/2?

1. 0
2. 1
3. 100
4. Infinite

Q.

Write the following integers as rational numbers:

$5$

Q.

The product of two whole numbers is always a:

1. Fractional number

2. Whole number

3. Prime number

4. Composite number

Q.

1. neither positive nor negative rational number

2. positive rational number

3. negative rational number

4. either positive or negative rational number

Q.

The following pair of sets is:

A = {2, 3, 5, 7, 11}.

B = {prime numbers < 12}.

1. equivalent sets

2. equal sets

3. null set or empty set

4. disjoint sets

Q.

($\frac{-16}{8}$) + ($\frac{16}{4}$) is a whole number. Justify

Q. State true or false:

1. True
2. False

Q. There are/is number(s) between 1 and 4.

1. exactly 1
2. exactly 2
3. infinite

Q. Every whole number is an integer.

1. False
2. True

Q. Number of integers between -5 and 2 is.

1. 4
2. 5
3. 6
4. 7

Q. The product of two rational number is always a