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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 20 Page 20

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

About 6

Practice makes perfect

To estimate sqrt(35) to the nearest integer, let's narrow down our estimate by looking at nearby perfect squares. The two nearest perfect squares are 25 and 36.

25<35<36

sqrt(LHS)

sqrt(25)

Calculate root

5

We know that sqrt(35) is somewhere between 5 and 6. 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 25 and 35, and 35 and 36. 25-10 ←35+1 →36 Because 36 is closer to 35, we know that sqrt(36) is closer to sqrt(35). Therefore, the nearest whole number is 6.

Subchapter links

Lesson Check p.20

Practice and Problem-Solving Exercises p.20-22

Standardized Test Prep p.22

Mixed Review p.22