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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

3. Real Numbers and the Number Line

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Exercise 21 Page 20

Find the nearest perfect square on either side of the given value.

About 16

Practice makes perfect

To estimate sqrt(242) to the nearest integer, let's narrow down our estimate by looking at nearby perfect squares. The two nearest perfect squares are 225 and 256.

225<242<256

sqrt(LHS)

sqrt(225)

Calculate root

15

We know that sqrt(242) is somewhere between 15 and 16. In order to estimate it to the nearest whole number, we have to know which perfect square is closer. We will do this by finding the difference between 225 and 242, and 242 and 256. 225-17 ←242+14 →256 Because 256 is closer to 242, we know that sqrt(256) is closer to sqrt(242). Therefore, the nearest whole number is 16.

Subchapter links

Lesson Check p.20

Practice and Problem-Solving Exercises p.20-22

Standardized Test Prep p.22

Mixed Review p.22