8.2A Real Number System Quick Review

Which diagram could be used to classify all the numbers in the real number system?

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A teacher asked students to classify numbers A and B below:
A: 0.28316049...
B:  $\sqrt{28}$  
What statement describes the correct classification(s) of the numbers?

• Both numbers are real numbers.

• Both numbers are rational, irrational, and real numbers.

• Number A is a rational number and Number B is an irrational number.

• Number A is an irrational number, and Number B is a rational number.

Which diagram correctly displays the relationship between sets of numbers?

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Which statement is Not true about elements of the set of rational numbers?

• All integers are elements of the set.

• Elements of the set include repeating and terminating decimals.

• All elements of the set can be written as a ratio $\frac{a}{b}$ m where b $\ne$ 0.

• The numbers $\pi$ and $\sqrt{3}$ are elements of the set.

To which of the following sets of numbers does  $\sqrt{196}$  belong?
I. Counting numbers
II. Integers
III. Rational Numbers
IV. Irrational numbers

• I only

• III only

• I, II, and III only

• IV only

According to the diagram, which statement is NOT true?

• All counting numbers are also rational

• all rational numbers are real numbers.

• All whole numbers are integers.

• All rational numbers are integers.