Classifying Rational Numbers with Venn Diagrams

Which of the following is a rational number?

• A number that can be written as a/b where a and b are integers and b is not zero

• A number that cannot be written as a fraction

• A number that can be written as a/b where b equals zero

• A number that is always positive

How can you write the mixed number 3 and 2/5 as an improper fraction?

• 17/5

• 5/17

• 15/5

• 8/5

Which of the following is NOT a rational number?

• Square root of 2

• Negative 7

• 32

• 6/10

In a Venn diagram, where would you place the number 75?

• Only in the integers circle

• Only in the whole numbers circle

• In the rational numbers circle

• In both the whole numbers and integers circles

Which of the following best describes natural numbers?

• They include fractions and decimals

• They include negative whole numbers

• They include only positive whole numbers without zero

• They include zero and positive whole numbers

Where would you place the number -3 in a Venn diagram?

• In the whole numbers circle

• In the integers circle

• In the rational numbers circle

• In both the integers and rational numbers circles

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

• 4

• 3/4

• Negative 2

• 0

True or False: All integers are rational numbers.

• False

• Only negative integers

• True

• Only positive integers

True or False: All integers are whole numbers.

• False

• Only positive integers

• True

• Only zero

Which of the following statements is correct?

• No positive numbers are integers

• Some positive numbers are integers

• Only negative numbers are integers

• All positive numbers are integers