Question

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

1. Every whole number is a natural number.

2. Every integer is a rational number.

3. Every rational number is an integer.

4. Every natural number is a whole number.

5. Every integer is a whole number.

6. Every rational number is a whole number​

Answer 1

Answer:

False

True

False

True

True

False

Answer 2

✯✯ QUESTION ✯✯

Are the following statements True or False? Give reasons for your answer.

1. Every Whole number is a natural number.

2. Every Integer is a rational number.

3. Every Rational number is an integer.

4. Every Natural number is a whole number.

5. Every Integer is a whole number.

6. Every Rational number is a whole number..

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✰✰ ANSWER ✰✰

1. False

➙Because Zero is a whole number but not a natural number.

2.True

➙Because every integer n can be expressed in the form of $\dfrac{n}{1}$ and so , it is a rational number..

3.False

➙Because $\dfrac{4}{8}$ is not an integer..

4.True

➙Because , the collection of whole numbers contains all natural numbers.

5.False

➙For Example , -4 is not a whole number..

6.False

➙For Example ,$\dfrac{1}{2}$ is a rational number but not a whole number..

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➥Definitions : -

★Natural Numbers : -

The numbers that we use for counting are called as Natural Numbers ..

For Eg :. 1,2,3,4,5....etc.

★Whole Numbers : -

Natural Numbers along with zeroes are called as Whole numbers..

For Eg :. 0,1,2,3,4,5....etc.

★Integers : -

All positive numbers , negative numbers together with zero constitute Integers.

For Eg :. -3,-2,-7,0,3,7,9......etc.

★Rational Numbers : -

A number that can be written in the form of p/q where p and q are integers and q≠0.

For Eg :. 10/34,2/5 ....etc.

★Irrational Numbers : -

A number that can not be written in the form of p/q where p and q are integers and q≠0.

For Eg :. 0.2323.. , 5.342342....etc.

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