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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 39 Page 20

Rewrite both numbers as decimals.

4/3

Practice makes perfect

When comparing numbers, it is best to first ensure that they are as similar as possible. In this exercise, we are given a fraction and a square root. 4/3, sqrt(2) To compare them, we will start by converting 43 to decimal.

4/3

Write as a sum

3/3+1/3

Calculate quotient

1 + 1/3

Write as a decimal

1+0.333333...

Add terms

1.333333...

Now, let's convert sqrt(2) to decimal. To do this, we will use a calculator.

Finally, we can make our comparison. Since the tenths place is larger for sqrt(2), we know that the first value is less than the second value. 1. 333333 ... < 1. 414213 ... ⇕ 4/3 < sqrt(2)

Subchapter links

Lesson Check p.20

Practice and Problem-Solving Exercises p.20-22

Standardized Test Prep p.22

Mixed Review p.22