Approximate Square Roots to the Nearest Tenth
Written by Adi Ackerman, Head Teacher
"Approximate Square Roots to the Nearest Tenth" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.NS.A.2. A 7th grader who is already steady on square and cube roots can use it too, and an older student can use it as a short review.
2 pages in this set
8th grade math worksheet: estimate 10 square roots, such as √13 and √135, to the nearest tenth by squaring nearby tenths. Answer key included. Part of our estimating roots collection. Aligned to Common Core standards.
How do I use this worksheet?
Begin with the between integers sheets so students lean on perfect squares and cubes. Move to the nearest tenth sheets, then use the number line sheet to show where each estimate sits.
What students will practice
- Students will find the two whole numbers a square root lies between.
- Students will square the tenths on either side of a square root and pick the closer one.
- Students will approximate 10 square roots, from √13 to √135, to the nearest tenth.
Square Roots of Perfect Squares to 400
Square and Cube Roots of Fractions and Decimals
Evaluate Expressions With Square Roots
Square Root or Cube Root? Name the Radicand
Square Root Maze, Step to the Root
Model Square Roots as Side Lengths of Squares
Fill Missing Digits in Square Root Facts
Cut and Paste Perfect Squares to Their Roots
Curriculum Links
Common Core State Standards
The Number System · 8th Grade
Standard: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²).
View all 8.NS.A.2 worksheets →Find this in the curriculum
Browse the grade, subject, and topic this belongs to.
FAQ
How do I use this estimating roots worksheet?
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Begin with the between integers sheets so students lean on perfect squares and cubes. Move to the nearest tenth sheets, then use the number line sheet to show where each estimate sits.
What does this worksheet teach?
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Estimate 10 square roots, such as √13 and √135, to the nearest tenth by squaring nearby tenths. The directions on the page read: Find the two whole numbers each square root lies between. Then square the tenths on either side of it and pick the one whose square is closer. Write the square root to the nearest tenth. An answer key is included.
Can I use this estimating roots worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade square and cube roots, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you estimate a square root between two whole numbers?
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Find the perfect squares on either side of the number. √52 lies between 7 and 8 because 52 is between 49 and 64, and it is closer to 7 because 52 is closer to 49.
How do you find a square root to the nearest tenth?
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First find the two whole numbers it lies between. Then square the tenths on either side and pick the one whose square is closer to the number. Approximate Square Roots to the Nearest Tenth has 10 items, such as √13 and √135.
Where does a negative cube root go on a number line?
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The cube root of a negative number is negative, so it lies to the left of 0. The cube root of negative 50 lies between negative 4 and negative 3, because negative 50 is between negative 64 and negative 27.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Square and Cube Roots |
| Standard | 8.NS.A.2 |
| Pages | 2 pages |
| Difficulty | Medium |
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Square Roots of Perfect Squares to 400
Square and Cube Roots of Fractions and Decimals
Evaluate Expressions With Square Roots
Square Root or Cube Root? Name the Radicand
Square Root Maze, Step to the Root
Model Square Roots as Side Lengths of Squares
Fill Missing Digits in Square Root Facts
Cut and Paste Perfect Squares to Their Roots