Question

27. State whether the following statements are true of false. Give reasons for your answers
(i) Every natural number is a whole number.
(ii) Every integer is a whole numbers.
(iii) Every rational number is a whole number.

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Answer 1

Answer:

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Step-by-step explanation:

(I) True , because N= 1,2,3,4,5,6,7,8,9....

w= 0,1,2,3,4,5,6,7,8,9...

(ii) False because integer starts from -3,-2,-1,0,1,2...

whereas whole starts from 0,1,2,3,4,5,6...

(iii) False because rational number starts from 7/5,0.5etc.

whereas whole number starts from 0,1,2,3,4,5,6....

Answer 2

Step-by-step explanation:

1st -

True. Because natural numbers start from (1, 2, 3.........) and whole numbers start from (0, 1, 2, 3........) that's why every natural no. is a whole no.

2nd -

False. Because integers also include (-1, -2, -3...) and these are not whole numbers. That's why every integer is not a whole number.

3rd -

False

A rational number is any number can be expressed as a fraction. Whereas, a whole number is a positive number without a decimal or fractions. Every rational number is may or may not be a whole number.

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