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:

What number is 𝑖 ? Give your answer as a decimal.

  • A 2 . 6
  • B 1 . 2
  • C 2 . 4
  • D 1 . 4
  • E 1 . 6

Q2:

Which of the numbers 𝑝 , 𝑞 , 𝑟 , and 𝑠 is 2 3 ?

  • A 𝑟
  • B 𝑝
  • C 𝑞
  • D 𝑠

Q3:

Which of the numbers 𝑎 , 𝑏 , 𝑐 , and 𝑑 is 0 . 2 5 ?

  • A 𝑏
  • B 𝑑
  • C 𝑎
  • D 𝑐

Q4:

What number is 𝑘 ? Give your answer as a mixed number in its simplest form.

  • A 3 5
  • B 1 2 5
  • C 2 5
  • D 2 5
  • E 3 5

Q5:

Which of numbers 𝑎 , 𝑏 , 𝑐 , and 𝑑 is 1 3 4 ?

  • A 𝑏
  • B 𝑎
  • C 𝑑
  • D 𝑐

Q6:

Which of the numbers 𝑝 , 𝑞 , 𝑟 , and 𝑠 is 1 1 3 ?

  • A 𝑠
  • B 𝑝
  • C 𝑟
  • D 𝑞

Q7:

Which of the numbers 𝑙 , 𝑚 , 𝑛 , and 𝑜 is 4 1 0 ?

  • A 𝑙
  • B 𝑛
  • C 𝑜
  • D 𝑚

Q8:

Select the expression that has an undefined answer.

  • A 0 2
  • B 2 2 3
  • C 3 3 2
  • D 2 3 3
  • E 0 3

Q9:

Find the rational number that lies one-third of the way from the smaller number between 1 2 and 1 1 2 .

  • A 1 6
  • B 5 6
  • C 1 1 6
  • D 1 2
  • E 7 6

Q10:

Find the rational number lying halfway between 2 7 and 4 3 5 .

  • A 1 3 3 5
  • B 8 3 5
  • C 3 3 5
  • D 1 7 3 5

Q11:

Complete the rational numbers on the number line.

  • A 4 3 , 1 , 1 3 , 1
  • B 3 4 , 1 2 , 1 2 , 1 2
  • C 1 2 , 3 4 , 1 4 , 3 4
  • D 4 , 3 , 1 , 3

Q12:

Write the mixed numbers that belong in the boxes on the number line. Simplify the fractions that you write.

  • A 1 2 2 5 , 1 2 7 1 0 , 121
  • B 1 2 3 1 0 , 1 2 3 5 , 1 2 1 2
  • C 1 2 3 1 0 , 1 2 3 5 , 1 2 9 1 0
  • D 1 2 3 1 0 , 1 2 1 5 , 1 2 1 2

Q13:

Is every rational number an integer?

  • A yes
  • B no

Q14:

Complete the following statement with , , , or : 0 . 1 .

  • A
  • B
  • C
  • D

Q15:

Which of the following is true?

  • A 1
  • B 1

Q16:

Is 1 2 5 6 a rational number?

  • Ano
  • Byes

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.