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.
- Anegative
- Bpositive
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
- B
- C59
- D
- E109.5
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:
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
Q15:
Is every integer a rational number?
- Ano
- Byes
Q16:
Find three rational numbers lying between and .
- A
- B
- C
- D
Q17:
What type of number is ?
- Apositive rational
- Binteger
- Cnegative rational
Q18:
Given that and , what are the possible values of ?
- A
- B0
- C
- D13
Q19:
Find the rational number that equals and the sum of its numerator and denominator equals 36.
- A
- B
- C
- D
- E
Q20:
What is the union of the rational and irrational numbers?
- A
- B
- C
- D
- E
Q21:
Which of the following is a pair of rational numbers which lie between and ?
- A , 1
- B ,
- C1,
- D ,
Q22:
Which of the following is an irrational number?
- A
- B
- C
- D
Q23:
If , which of the following sets contains ?
- A
- B
Q24:
State whether the following is true or false: If and belong to , where , then .
- Afalse
- Btrue
Q25:
What is ?
- A
- B
- C
- D