Classifying Rational Numbers

Use the diagram to help you answer the question below. Which of the following is both an integer and a whole number?

• 180

• 2/3

Answer explanation

The integer and whole number is 180 because integers are whole numbers without any decimal or fractional parts, and 180 fits this criteria.

What number below is a natural, whole, integer, rational, and real number ?

• 3

• -0.7

Answer explanation

The number 3 is a natural, whole, integer, rational, and real number, making it the correct choice.

• Integer and Rational

• Rational

Answer explanation

The number -3/2 belongs to the set of Rational numbers because it can be expressed as a fraction of two integers.

Which subset of rational numbers best describes the number of students in Ms. Sam's second period class?

• Whole Numbers

• Natural Numbers (Counting Numbers)

Answer explanation

The number of students in Ms. Sam's second period class is best described by Natural Numbers (Counting Numbers) as it includes all positive integers starting from 1.

Which Venn Diagram best represents the relationship among integers, natural numbers, rational numbers, and whole numbers?

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Which diagram best represents the relationship among integers, rational numbers, and whole numbers?

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Which number on the number line is NOT classified as a whole number?

(a)  

The table shows the scores of four people playing a video game. Which score is a whole number?

(a)  

Tags

CCSS.5.NBT.B.7

Jack believes that 0.2222... is a rational number. Is Jack correct? How do you know?

• No, a repeating decimal is not a rational number.

• Yes, the decimal can be written as the fraction 2/9

Answer explanation

Yes, the decimal can be written as the fraction 2/9

Tags

CCSS.7.NS.A.2D

CCSS.8.NS.A.1

Which statement is true?

• Every whole number is a rational number

• Every rational number is an integer

Answer explanation

The correct statement is 'Every whole number is a rational number.' This is true because whole numbers can be expressed as fractions with a denominator of 1.