# Worksheet: The Set of Rational Numbers

In this worksheet, we will practice identifying rational numbers and finding the position of a rational number on a number line.

Q1: Q2:

Which of the numbers , , , and is ? • A
• B
• C
• D

Q3:

Which of the numbers , , , and is ? • A
• B
• C
• D

Q4:

What number is ? Give your answer as a mixed number in its simplest form. • A
• B
• C
• D
• E

Q5:

Which of numbers , , , and is ? • A
• B
• C
• D

Q6:

Which of the numbers , and is ? • A
• B
• C
• D

Q7:

Which of the numbers , , , and is ? • A
• B
• C
• D

Q8:

Select the expression that has an undefined answer.

• A
• B
• C
• D
• E

Q9:

Find the rational number that lies one-third of the way from the smaller number between and .

• A
• B
• C
• D
• E

Q10:

Find the rational number lying halfway between and .

• A
• B
• C
• D

Q11:

Complete the rational numbers on the number line. • A,,,
• B,,,
• C,,,
• D,,,
• E,,,

Q12:

Write the mixed numbers that belong in the boxes on the number line. Simplify the fractions that you write. • A, ,
• B, ,
• C, ,
• D, , 121

Q13:

Is every rational number an integer?

• Ano
• Byes

Q14:

Complete the following statement with , , , or : .

• A
• B
• C
• D

Q15:

Which of the following is true?

• A
• B

Q16:

Is a rational number?

• Ayes
• Bno

Q17:

Which of the following expressions is rational given and ?

• A
• B
• C
• D