Which one of the following statement(s) is/are correct?
(A) Every whole number is a natural number.
(B) Every natural number is a whole number.
(C) Every integer is a whole number.
(D) Every rational number is a whole number
Choose the correct answer from the options given below:
Which one of the following statement(s) is/are correct?
(A) Every whole number is a natural number.
(B) Every natural number is a whole number.
(C) Every integer is a whole number.
(D) Every rational number is a whole number
Choose the correct answer from the options given below:
Solution
Natural Numbers are counting numbers:
Whole Numbers are natural numbers plus zero:
Integers are whole numbers plus negative numbers:
Rational Numbers are any numbers that can be written as a fraction :
Statement (A): Every whole number is a natural number.
Whole numbers include:
Natural numbers include:
The number is a whole number but not a natural number.
Statement (A) is incorrect.
Statement (B): Every natural number is a whole number.
Natural numbers:
Whole numbers:
Every natural number is also found in whole numbers.
Statement (B) is correct.
Statement (C): Every integer is a whole number.
Integers include:
Whole numbers include:
The number is an integer but not a whole number.
Statement (C) is incorrect.
Statement (D): Every rational number is a whole number.
Rational numbers include fractions like
Whole numbers are only:
The number is a rational number but not a whole number.
Statement (D) is incorrect.
Only statement (B) is correct.
Answer: (B) only
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