Question

Give the answer with reason
1. Every whole number is a natural number
2. Every natural number is a whole number
3. Every integer is a rational number
4. Every rational number is a integer
5. Every rational number is a whole number
6. Every integer is a whole number
7. Every irrational number is a real number
8. Every real number is a irrational number​

Answer 1

Answer :

1) False

→ Every whole number isn't a natural number because 0 is whole number but not natural

2) True

→ Every natural number is a whole number because natural numbers starts from 1 and whole numbers start from 0. So,Whole number consist every natural number.

3) True

→ Every integer is a rational number because it can be expressed in the form of p/q

4) False

→ Every rational number isn't an integer because integer aren't in fraction whereas rational numbers are. Example - 13/4 is a rational number but not an integer.

5) False

→ Every rational number isn't whole number because whole number is a positive number without a fraction or decimal whereas rational number is expressed in fraction. Example - 1/4 is a rational number but 0.25 isn't whole number

6) False

→ Every integer isn't a whole number as integers can be negative too but whole number can't. Example : -2 is an integer but not whole number

7) True

→ Every Irrational number is a real number since they can be represented as decimal numbers.

8) False

→ Every real number isn't an irrational number because real number consist of both rational and irrational number.

Answer 2

Answer:

1. False

• Every whole number is not a natural number. But every natural number is a whole number. For example, 0 is a whole number but not a natural number.

2. True

• Natural number is from 1,2,3,..... and whole number is from 0,1,2,....... So whole number contains all the natural numbers.

3. True

• Integers are the whole numbers with positive and negative signs. Rational number is defined in the form of p/q where p and q are integers and q ≠ 0. So, all integers are in the form of p/q where q = 1.

4. False

• Rational numbers can be fractional but integers cannot be. For example, 1/2 is a rational number but not an integer.

5. False

• Rational numbers can be negative integers, but whole numbers can be 0 and positive integers. For example, -1 is a rational number but not a whole number.

6. False

• Integer can be negative but whole number cannot be. Foe example, -3 is an integer but, not a whole number.

7. True

• Real number contains all rational numbers, irrational numbers, integers, whole numbers and natural numbers.

8. False

• Real number can be rational also. So, all real numbers are not irrational number. For example, 4 is a real number but not an irrational number.