# How do you order the following from least to greatest #-11/5, -pi, -2.98, -sqrt7#?

##### 1 Answer

Feb 5, 2017

#### Explanation:

Given:

#-11/5, -pi, -2.98, -sqrt(7)#

Let's get a decimal approximation for

Note that

So choose

Then applying one step of Newton's method, a better approximation is:

#(5^2+7*2^2)/(2*5*2) = (25+28)/20 = 53/20 = 2.65#

So we have:

#{ (-11/5 = -2.2), (-pi ~~ -3.14), (-2.98 = -2.98), (-sqrt(7) ~~ -2.65) :}#

So in ascending order:

#-pi, -2.98, -sqrt(7), -11/5#