# Worksheet: Real Numbers

In this worksheet, we will practice distinguishing between rational and irrational numbers and representing real numbers on number lines.

**Q1: **

Every natural number is a real number.

- Apositive
- Bnegative

**Q2: **

Is a rational or an irrational number?

- Aan irrational number
- Ba rational number

**Q3: **

Is 0.456 a rational or an irrational number?

- Aa rational number
- Ban irrational number

**Q6: **

Which of the following is an irrational number?

- A 59
- B 109.5
- C
- D
- E

**Q7: **

Use or to complete the following:.

- A
- B

**Q8: **

Write the interval that represents the set of nonpositive real numbers.

- A
- B
- C

**Q9: **

Write the interval representing the set of the positive real numbers .

- A
- B
- C
- D
- E

**Q11: **

Which of the following is a rational number?

- A
- B
- C
- D
- E

**Q12: **

Which of the following statements must be true, given that is a rational number and ?

- A ,
- B ,
- C ,
- D ,
- E ,

**Q13: **

True or False? The quotient where is an integer and is zero is a rational number.

- Afalse
- Btrue

**Q14: **

Simplify , giving your answer in the form .

- A
- B
- C
- D
- E

**Q15: **

A rational number is a number that can be written in the form , where and are integers (whole numbers) and is not zero.

Which of the following is a rational number?

- A
- B
- C
- D
- E

**Q16: **

Is every integer a rational number?

- A yes
- B no

**Q17: **

Find three rational numbers lying between and .

- A
- B
- C
- D

**Q18: **

Which of the following fractions is numerically closest to ?

- A
- B
- C
- D
- E

**Q19: **

What type of number is ?

- Apositive rational
- Binteger
- Cnegative rational

**Q20: **

Given that and , what are the possible values of ?

- A
- B13
- C0
- D

**Q21: **

Find the rational number that equals and the sum of its numerator and denominator equals 36.

- A
- B
- C
- D
- E