Exercise 37 Page 20

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. 5 23, sqrt(29) To compare them, we will start by converting 5 23 to decimal.

5 23

WriteSum

Write as a sum

5+2/3

WriteDec

Write as a decimal

5+0.666666...

AddTerms

Add terms

5.666666...

Now, let's convert sqrt(29) to decimal. To do this, we will use a calculator.

Finally, we can make our comparison. Since the tenths place is larger for 5 23, we know that the second value is less than the first value. 5. 666666...>5. 385164 ... ⇕ 5 23 > sqrt(29)