# Lesson Worksheet: Properties of Real Numbers Mathematics

In this worksheet, we will practice classifying real numbers and using their properties to simplify algebraic expressions.

Q1:

True or False: Every integer is a rational number.

• ATrue
• BFalse

Q2:

Is every noninteger number a rational number?

• AYes
• BNo

Q3:

Consider the given sets of numbers.

Natural NumbersInteger NumbersRational NumbersIrrational NumbersReal Numbers

Which sets does the number 2.5 belong to?

• A
• B
• C
• D
• E

Q4:

For the numbers , 7, 1.25, , , , , and , which of the following Venn diagrams is true?

• A • B • C • D • E Q5:

What type of number is ?

• Apositive rational
• Binteger
• Cnegative rational

Q6:

Which of the following is an irrational number that lies between 3 and 4?

• A3.9
• B
• C
• D
• E

Q7:

What is the union of the rational and irrational numbers?

• A
• B
• C
• D
• E

Q8:

Use or to complete the following: .

• A
• B

Q9:

Every natural number is a real number.

• Anegative
• Bpositive

Q10:

Every integer is also .

• Aa natural number
• Ba real number