Question

state the following statement true or false.​

Answer 1

Given:

• Some statements are given to us .

To Find:

• To state whether the given statements are true or false.

Answer:

I) Every whole number is a natural number :

☞ This statement is false . Since whole number consists of 0 also ,but natural number doesn't have 0 .

II) Every Natural number is a whole number.

☞ Yes this statement is True . Natural numbers are a subset of whole number. Whole number contains all counting numbers and 0 . But Natural numbers consists of only counting number.

III) Every integer is a natural number.

☞ This statement is false . Integers consists of all counting numbers ,their negative along with 0 .But natural number don't contain 0 and negatives .

IV) Every integer is Rational Number.

☞ Yes this statement is True . Integers are a subset of Rational numbers. Rational numbers are itself defined on the basis of integers i.e. the number in the form of p/q where p and q are integers and q ≠ 0 are called Rational numbers.

V) Every Rational number is a whole number.

☞ This statement is False . Rational numbers consists of negative numbers & fractions also ,but whole numbers don't have so .