Classifying Rational Numbers

Multiple Choice

Why is it important to classify rational numbers in mathematics?

• To better understand their properties and relationships

• To make calculations more difficult

• To memorize more numbers

• To avoid using decimals

Multiple Choice

Which of the following best describes rational numbers?

• Numbers that can be written as fractions, terminating decimals, or repeating decimals

• Numbers that are always positive

• Numbers that cannot be written as decimals

• Numbers that are only whole numbers

Multiple Select

Select all the statements that are true about the number system.

• An integer is always a whole number

• Any whole number is also an integer

• All negative numbers are integers

• All rational numbers are either fractions or decimals

Open Ended

Did the student classify -1.0 correctly? If not, what classification should it be?

Open Ended

Did the student classify $$\frac{10}{5}$$ correctly? If not, what should it be classified as?

Open Ended

Did the student classify -7.0 correctly? If not, why?

Open Ended

Did the student classify -8.5 correctly? If not, why?

Multiple Choice

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

• A

• B

• C

• D

Multiple Choice

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

• A

• B

• C

• D

Multiple Choice

Set A represents rational numbers. Set B represents integers. Which diagram shows the numbers placed in the correct sets?

• A

• B

• C

• D

Multiple Choice

Which of the following numbers is a rational number but not an integer?

• -6

• 5.5

• 9

• -25