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