Section 3.2.notebook
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Section 3.2: Estimating Square Roots
To estimate to the nearest whole number
(without using a calculator):
­Find the greatest perfect square that is less than the number.
­Find the least perfect square that is greater than the number.
­The square root will be between the square roots of the perfect squares. ­It will be closer to the square root of the perfect square that is closer in value to the number.
Example: ­The largest perfect square less than 35 is ______.
­The smallest perfect square greater than 35 is ____.
­The is closest to ______.
­The best estimate for the is ______.
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Estimate to the nearest whole number.
1. 2.
3. 4. 2
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5. 6. 7. 3
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8. If you were to invest $100 in a bank account for two years, your investment would earn interest daily and be worth more when you withdrew it. If you had $120 after two years, the interest rate, written as a decimal, would be found using the expression
­ 10. Estimate the value.
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Order from least to greatest.
9. , 7, 5, 10. , 6, , 8
11. Estimate the length of a side for the square.
Area = 40 square inches
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12. Miki has a square rug in her living room that has an area of 19 square yards. Estimate the length of a side of the rug to the nearest whole number.
13. Ruby is planning to put a square garden with an area of 200 square feet in her back yard. Estimate the length of each side of the garden to the nearest whole number.
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Estimate the solution of each equation to the nearest integer.
14. y2 = 55
15. d2 = 95
16. p2 = 6.8
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