Question

1. Answer the following with reasons :
(i) Is every natural number a whole
number?
(ii) Is every whole number a natural
number?
(iii) Is every integer a rational number?
(iv) Is every fraction a rational number?
(v) Is every rational number an integer ?​

Answer 1

Answer:

yes every natural number is a whole number

Step-by-step explanation:

natural no. starts from 1 and whole no. starts from 0

Answer 2

Answer:

(i) Yes, The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.

(ii)No, The whole numbers are the numbers 0, 1, 2, 3, 4, and so on (the natural numbers and zero). Negative numbers are not considered "whole numbers." All natural numbers are whole numbers, but not all whole numbers are natural numbers since zero is a whole number but not a natural number.

(iii) Yes, Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number. However, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

(iv) Yes, Every fraction is a rational number but a rational number need not be a fraction. ... Since every natural number is an integer. Therefore, a and b are integers. Thus, the fraction a/b is the quotient of two integers such that b ≠ 0.

(v) No, Every integer is a rational number but a rational number need not be an integer.

Hope it helps :)

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