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Estimating Square Roots

Learn to estimate square roots without a calculator, find perfect squares, and apply estimation skills to real-world scenarios. Practice rounding to the nearest tenth and solve problems involving square areas and perimeters. Enhance your math skills efficiently!

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Estimating Square Roots

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  1. Estimating Square Roots • What is a perfect square? Give some examples. • A perfect square is a number that has integers as its square roots.

  2. Common Core #2 • Use rational approximations of irrational numbers to locate them on a number line diagram, and estimate the value of to the nearest tenth.

  3. Number Line Diagram • Extend it out to -10 and 10!!!!!!!!!!!!

  4. Estimating Square Roots Without using a calculator, (1)find the two integers that the square root of any number is between (2) estimate the square root of the number to the nearest tenth (3) place the value on a number line

  5. Estimating Square Roots 27 • What two perfect squares is the square root of 27 between? • Estimate the value to the nearest tenth. • Place the value on the number line. 0 5 6 Estimate 27 = 5.2

  6. Estimating Square Roots 12 • What two perfect squares is the square root of 12 between? • Estimate the value to the nearest tenth. • Place the value on the number line. 0 3 4 Estimate 12 = 3.5

  7. YOU TRY THIS ONE 6 = ? Answer is 2.4

  8. Work it Together 50 = ? Answer is 7.1

  9. YOU TRY THIS ONE 75 = ? Answer is 8.7

  10. BE – DONE Question Application. A square field is 1000ft². What is the perimeter in feet, to the nearest whole number, of the field? Answer is 31.6ft • 4 = 126.4 or 126 feet

  11. Question #1 Round to the nearest tenth. 245 = ? Answer is 15.7

  12. Question #2 Round to the nearest tenth. 33 = ? Answer is 5.7

  13. Question #3 Round to the nearest tenth. 8 = ? Answer is 2.8

  14. Question #4 The area of a square chessboard is 70cm². To the nearest tenth, what is the approximate length of each side of the chessboard. Answer is about 8.4

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