Question

Which of the following statement is true? .(а) All natural numbers are also whole numbers. .(b) All whole numbers are also natural numbers. .(c) There is no smallest whole number. .(d) The greatest whole number is 100. *​

Answer 1

Answer:

a) true

b) false

c) false

d) false

Step-by-step explanation:

a) as we know the numbers from 1 to infinity are called natural number and the numbers from 0-infinity came under whole number so all the naturals numbers such as 1 , 7, 90 are also whole number.

b) whole number such as 7 , 100 , 9999 are also natural number but we talk about 0 , 0 is not a natural number as the natural number starts from 1 and do not contain 0

c) the whole number starts from 0 so the smallest whole number is obviously 0

d) the whole number go till infinity so the number 1000 is also a whole number which is more than 100 so we cannot say that the greatest whole number is 100.

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Which of the following statement is true

(а) All natural numbers are also whole numbers

(b) All whole numbers are also natural numbers

(c) There is no smallest whole number

(d) The greatest whole number is 100.

EVALUATION

CHECKING FOR OPTION (a)

All natural numbers are also whole numbers

The set of natural numbers is denoted by N

N = { 1 , 2 , 3 , 4 , . . . . }

The set of whole numbers is denoted by W

W = { 0 , 1 , 2 , 3 , 4 , . . . . }

Thus we see that all natural numbers are also whole numbers

So this option is correct

CHECKING FOR OPTION : (b)

All whole numbers are also natural numbers

The set of natural numbers is denoted by N

N = { 1 , 2 , 3 , 4 , . . . . }

The set of whole numbers is denoted by W

W = { 0 , 1 , 2 , 3 , 4 , . . . . }

Thus we see that 0 is a whole number but not a natural number

So all whole numbers are not natural numbers

So this option is not correct

CHECKING FOR OPTION : (c)

There is no smallest whole number

The set of whole numbers is denoted by W

W = { 0 , 1 , 2 , 3 , 4 , . . . . }

Thus we see that 0 is the smallest whole number

So this option is not correct

CHECKING FOR OPTION : (d)

The greatest whole number is 100.

The set of whole numbers is denoted by W

W = { 0 , 1 , 2 , 3 , 4 , . . . . , 100 , . . . . }

So there is no greatest whole number

So this option is not correct

FINAL ANSWER

Hence the correct option is

(а) All natural numbers are also whole numbers

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