# Chapter 1 - Foundations for Algebra - 1-3 Real Numbers and the Number Line - Practice and Problem-Solving Exercises - Page 20: 48

$\sqrt7\lt\sqrt 8\lt2.9\lt3\lt\frac{10}{3}$

#### Work Step by Step

We convert them into decimal form in order to visualize their numerical order. $\frac{10}{3}$= 3.3 2.9 $\sqrt 8$ = 2.828 $\sqrt 7$ = 2.646 3 We see that 2.646 is the smallest number, which is $\sqrt 7$. This is followed, in order, by 2.828, which is $\sqrt 8$, 2.9, 3, and finally 3.3, which is $\frac{10}{3}$.

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