Estimating%20Square%20Roots

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Estimating Square Roots

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

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(No Transcript)
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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.

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Number Line Diagram

• Extend it out to -10 and 10!!!!!!!!!!!!

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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

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Estimating Square Roots

• 27

1. What two perfect squares is the square root of 27
   between?
2. Estimate the value to the nearest tenth.
3. Place the value on the number line.

0 5 6
Estimate 27 5.2
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Estimating Square Roots

• 12

1. What two perfect squares is the square root of 12
   between?
2. Estimate the value to the nearest tenth.
3. Place the value on the number line.

0 3 4
Estimate 12 3.5
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YOU TRY THIS ONE

• 6 ?

Answer is 2.4
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Work it Together

• 50 ?

Answer is 7.1
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YOU TRY THIS ONE

• 75 ?

Answer is 8.7
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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

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Question 1 Round to the nearest tenth.

• 245 ?

Answer is 15.7
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Question 2 Round to the nearest tenth.

• 33 ?

Answer is 5.7
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Question 3 Round to the nearest tenth.

• 8 ?

Answer is 2.8
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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