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.

Q2:

Which of the numbers 𝑝, 𝑞, 𝑟, and 𝑠 is 23?

  • A𝑟
  • B𝑞
  • C𝑝
  • D𝑠

Q3:

Which of the numbers 𝑎, 𝑏, 𝑐, and 𝑑 is 0.25?

  • A𝑐
  • B𝑑
  • C𝑎
  • D𝑏

Q4:

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

  • A25
  • B35
  • C25
  • D35
  • E125

Q5:

Which of numbers 𝑎, 𝑏, 𝑐, and 𝑑 is 134?

  • A𝑎
  • B𝑑
  • C𝑏
  • D𝑐

Q6:

Which of the numbers 𝑝,𝑞,𝑟, and 𝑠 is 113?

  • A𝑝
  • B𝑞
  • C𝑠
  • D𝑟

Q7:

Which of the numbers 𝑙, 𝑚, 𝑛, and 𝑜 is 410?

  • A𝑜
  • B𝑙
  • C𝑛
  • D𝑚

Q8:

Select the expression that has an undefined answer.

  • A03
  • B332
  • C02
  • D223
  • E233

Q9:

Find the rational number that lies one-third of the way from the smaller number between 12 and 112.

  • A76
  • B56
  • C116
  • D16
  • E12

Q10:

Find the rational number lying halfway between 27 and 435.

  • A1735
  • B835
  • C1335
  • D335

Q11:

Complete the rational numbers on the number line.

  • A23,23,43,2
  • B14,14,34,54
  • C4,3,1,3
  • D12,12,43,32
  • E34,14,34,32

Q12:

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

  • A12310, 1235, 1212
  • B12310, 1215, 1212
  • C12310, 1235, 12910
  • D1225, 12710, 121

Q13:

Is every rational number an integer?

  • Ano
  • Byes

Q14:

Complete the following statement with , , , or : 0.1.

  • A
  • B
  • C
  • D

Q15:

Which of the following is true?

  • A1
  • B1

Q16:

Is 1256 a rational number?

  • Ayes
  • Bno

Q17:

Which of the following expressions is rational given 𝑎=1 and 𝑏=34?

  • A39𝑏𝑎1
  • B39𝑎1
  • C39𝑏𝑏34
  • D𝑏𝑎

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