Worksheet: Estimating Radicals Using Number Lines

In this worksheet, we will practice estimating the nth root of a number using number lines.

Q1:

Identify which of the arrows represents the position of 30.

  • Ad
  • Ba
  • Cc
  • Db

Q2:

Identify which of the arrows represents the position of 90.

  • Ad
  • Bc
  • Ca
  • Db

Q3:

Identify which of the arrows represents the position of 51.

  • Ac
  • Ba
  • Cd
  • Db

Q4:

Identify which arrow represents the position of 17 on the number line.

  • Aa
  • Bb

Q5:

Identify which arrow represents the position of 24 on the number line.

  • Ab
  • Ba

Q6:

Identify which of the arrows represents the position of 13.

  • A 𝑑
  • B 𝑎
  • C 𝑏
  • D 𝑐

Q7:

Find the two consecutive integers that 55 lies between.

  • A8, 9
  • B6, 7
  • C7, 8
  • D54, 56

Q8:

Which of the following statements is true?

  • AIf you evaluate17, the answer is between 4 and 4.5.
  • BIf you evaluate 17, the answer is between 4.5 and 5.
  • CIf you evaluate 17, the answer is between 3.5 and 4.
  • DIf you evaluate 17, the answer is between 5 and 5.5.
  • EIf you evaluate 17, the answer is between 3 and 3.5.

Q9:

Which of the following numbers is represented by the arrow on the number line?

  • A 4 5
  • B 2 7
  • C 1 2
  • D 6 4
  • E 1 5

Q10:

Identify which of the arrows represents the position of 23.

  • A 𝑎
  • B 𝑒
  • C 𝑑
  • D 𝑐
  • E 𝑏

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