# 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 Numbers | Integer Numbers | Rational Numbers | Irrational Numbers | Real 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