# Select all of the following statements that are true. All real numbers are natural numbers. All whole numbers are integers. All integers are whole numbers. All natural numbers are rational numbers.

Students were asked over to answer a question at schools and to declare what is most important for them to succeed. Of the many responses, one which that stood out was practice. Successful people usually are not born successful; they become successful thru hard work and dedication. This is how you can get your goals. down below are one of the answer and question example that you can certainly utilise to practice and develop your understanding and also give you insights that would guide you to sustain your study in school.

## Question:

Select all of the following statements that are true. All real numbers are natural numbers. All whole numbers are integers. All integers are whole numbers. All natural numbers are rational numbers.

Using the number sets, it is found that the correct statements are:

• All whole numbers are integers.
• All natural numbers are rational numbers.

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• Whole numbers: Also called natural, set of numbers including all positive numbers and 0, so: {0,1,2,…}
• Integer numbers: Number without decimals, that can be positive of negative, so: {…,-2,-1,0,1,2,….}
• Rational numbers: Integer plus decimals that can be represented by fractions, that is, they either have a pattern, or have a finite number of decimal digits, for example, 0, 2, 0,45(finite number of decimal digits), 0.3333(3 repeating is the pattern), 0.32344594459(4459 repeating is the pattern).
• Irrational numbers: Decimal numbers that are not represented by patterns, that is, for example, 0.1033430290339.
• Real numbers: Rational plus irrational.

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Statement 1: All real numbers are natural numbers.

Real numbers include decimals, for example, so this statement is false.

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Statement 2: All whole numbers are integers.

• Whole numbers: {0,1,2,…}
• Integers: whole numbers plus negatives.
• Thus, yes, all whole numbers are integers, and this option is correct.

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Statement 3: All integers are whole numbers.

False, as integers contain negative values, which are not whole.

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Statement 4: All natural numbers are rational numbers.

• Rational: Whole(natural + negatives) + fractions.

Thus, yes, all natural numbers are rational, and this option is correct.

They can easily hopefully assist the student take care of the question by implementing the questions and answer examples. You can then have a discussion with your classmate and continue the school learning by studying the topic together with each other.