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Grade 8 · Math

8th grade Compare and order real numbers worksheet

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Compare and order real numbers

Grade 8 Math Worksheet

NameDate

Circle the best answer.

  2. Esme compares a root with a mixed number. Which is greater, √28 or 5 1/4?

    • They are equal.
    • √28 is greater.
    • 5 1/4 is greater.

  3. Jun compares a root with a fraction. Which is greater, √10 or 13/4?

    Use the picture in question 1.

    • √10 is greater.
    • They are equal.
    • 13/4 is greater.

  4. Luz compares a root with a percent on a card. Which is greater, √8 or 270%?

    Use the picture in question 1.

    • They are equal.
    • 270% is greater.
    • √8 is greater.

  5. Milo compares two negative numbers. Which is greater, −√12 or −3.6?

    Use the picture in question 1.

    • −√12 is greater.
    • They are equal.
    • −3.6 is greater.

  6. Pia checks a big root against a decimal. Which is greater, √90 or 9.4?

    Use the picture in question 1.

    • √90 is greater.
    • 9.4 is greater.
    • They are equal.

  7. Ren writes a comparison on a card. Which statement is true?

    Use the picture in question 1.

    • √23 > 4.7
    • √23 < 4.7
    • √23 = 4.7

  8. Tala checks a comparison from a worksheet. Which statement is true?

    Use the picture in question 1.

    • √33 = 5.8
    • √33 > 5.8
    • √33 < 5.8

  9. Zee writes a comparison for a puzzle. Which statement is true?

    Use the picture in question 1.

    • √77 > 8.8
    • √77 < 8.8
    • √77 = 8.8

  10. Read this first

    Use this

    Sketch of two squares. Number line with a tick at every tenth. Green marks are whole numbers, blue marks the other integers, orange marks the other rational numbers, and purple marks irrational numbers.

  11. Bo compares two square windows. Window A has an area of 14 square feet. Window B has sides of 3.7 feet. Which window has the longer side?

    • The sides are the same.
    • Window A has the longer side.
    • Window B has the longer side.

  12. Esme compares two square posters. Poster A has an area of 55 square inches. Poster B has sides of 7.5 inches. Which poster has the longer side?

    • Poster A has the longer side.
    • Poster B has the longer side.
    • The sides are the same.
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8th grade Compare and order real numbers worksheet – printable
Print: 123456

About this worksheet

Compare and order real numbers. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can say which is greater, a root or a number in another form, by squaring the other number and comparing it with the number under the root.
  • I can write five numbers in order, changing each into a decimal first: roots, π, fractions, mixed numbers, percents and powers of ten.
  • I can explain why a comparison is true, and name a rational and an irrational number between two numbers.

Standard: 8.NS.A.2

Words to know

greater: Farther right on the number line.

least to greatest: From the number farthest left to the number farthest right.

square a number: Multiply it by itself: 3.6 squared is 3.6 × 3.6 = 12.96.

cube a number: Multiply it by itself three times: 3.2 cubed is 3.2 × 3.2 × 3.2.

scientific notation: A number times a power of ten: 4.2 × 10⁻¹ is 0.42.

between: Greater than one number and less than the other.

Common mistakes

Your child used the number under the root sign as the size of the root.

Your child thought a root is always the smaller number.

Your child ignored the percent sign.

What to say

Ask: what is the square root of 25? Is it 25?

Ask: is the square root of 30 bigger or smaller than 5?

Ask: what is 270% as a decimal? Is it near 270 or near 2.7?

Questions parents ask

What is the most common mistake with compare and order real numbers?

Your child used the number under the root sign as the size of the root.

How can I help my child with compare and order real numbers?

Ask: what is the square root of 25? Is it 25?

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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