Question

state whether the following statements are true or false. give reason for your answer
1 every natural no. Is a whole no.
2 every integer is whole no.
3 every rational no. is a whole no.​

Answer 1

Answer:

true

 because the set of natural numbers is represented as N = {1, 2, 3...} and the set of whole numbers is W = {0, 1, 2, 3...}. We see that every natural number is present in the set of whole numbers. For example, 5 is a natural number as well as a whole number

false

because the set of integers is represented as Z = { -2, -1, 0, 1, 2...} and the set of whole numbers is W = {0, 1, 2, 3...}. We see that the negative integers are not the elements of the whole numbers set. Thus, negative integers are not a subset of whole numbers. For example, -2 is an integer but not a whole number.

false

A rational number can be expressed as decimal. Whole number is a positive number without a fraction or decimal. But, a rational number is any number that can be expressed as a fraction. Thus, every rational number is not a whole number.