Grade 8 · Math

8th grade Estimate and place square roots and pi on a number line worksheet

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Estimate and place square roots and pi on a number line

Grade 8 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

Read this first
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Number line with a tick at every hundredth. Green marks are whole numbers, blue marks the other integers, orange marks the other rational numbers, and purple marks irrational numbers.
Pia estimates √90 to the nearest hundredth. What is √90 to the nearest hundredth?
Ren rounds √35 to two decimal places. What is √35 to the nearest hundredth?
Tala plants a square garden bed with an area of 75 square feet. About how long is each side, to the nearest tenth of a foot?
Bo plots a negative root. What is −√20 to the nearest tenth?
Esme estimates a negative root for a game. What is −√15 to the nearest tenth?
Use the picture in question 4.
Jun rounds a negative root on a calculator. What is −√31 to the nearest tenth?
Use the picture in question 4.
7.
Luz squares π on a calculator. Which whole number is π² closer to?
- 9
- 3
- 6
- 10
8.
Noah has a big square to place, √230. Between which two whole numbers is √230?
- 14 and 15
- 15 and 16
- 16 and 17
- 115 and 116
9.
Pia reads √300 on a calculator. Between which two whole numbers is √300?
Use the picture in question 8.
- 150 and 151
- 18 and 19
- 17 and 18
- 16 and 17
10.
Ren needs √350 for a project. Between which two whole numbers is √350?
Use the picture in question 8.
- 18 and 19
- 19 and 20
- 175 and 176
- 17 and 18

8th grade Estimate and place square roots and pi on a number line worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Estimate and place square roots and pi on a number line. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can say which two whole numbers a square root lies between, and which one it is closer to.
I can find a square root to the nearest tenth or hundredth by trying decimals and seeing which square is closer.
I can place √n, −√n, π and an expression like 1 + √30 on a number line.

Standard: 8.NS.A.2

Words to know

perfect square: A number you get by multiplying a whole number by itself, like 25 = 5 × 5.

square root (√): The number that, multiplied by itself, gives the number under the sign.

estimate: A close guess that you can check, not an exact answer.

nearest tenth: The decimal with one place after the point that is closest to the number.

nearest hundredth: The decimal with two places after the point that is closest to the number.

closer to: Smaller distance away. A number can be closer to one square than the other.

Common mistakes

Your child picked the pair of whole numbers one step too high.

Your child picked the pair of whole numbers one step too low.

Your child halved the number under the root.

What to say

Ask: which two perfect squares is the number between? Their roots are the pair.

Ask: what number times itself makes it? Halving does not do that.

Questions parents ask

What is the most common mistake with estimate and place square roots and pi on a number line?

Your child picked the pair of whole numbers one step too high.

How can I help my child with estimate and place square roots and pi on a number line?

Ask: which two perfect squares is the number between? Their roots are the pair.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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