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8th Grade Math (Math 8) · Chapter 2 · Lesson 2.6 · Printable PDF

Approximating Irrational Numbers Worksheet with Answer Key

6 problems on approximating irrational numbers: finding which two integers a square root lies between, estimating to the nearest tenth, a paper-covered cube, working backward, and a coaster in a gift box. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Approximating irrational numbers worksheet with answer key - 8th Grade Math (Math 8) (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Find the two consecutive integers each number lies between, writing the squares used:
    \sqrt{58}\sqrt{140}\sqrt{390}\sqrt{1500}-\sqrt{75}
  2. Word problem: find the edge of a cube covered with 684 square centimeters of paper.
  3. Find each square root to the nearest tenth by squaring trial values:
  4. Find every whole number whose square root falls in a given narrow range:
  5. Decide who is right, Hannah or Omar, when rounding a square root to the nearest tenth.
  6. Word problem: will Priya's square coaster fit flat in a gift box?

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The free lesson teaches it with worked examples and practice problems.

Approximating irrational numbers: the lesson ›

More Chapter 2 worksheets: Roots, irrational numbers and the real numbers