Question

Different sizes of ribbon need to be cut to go around various shapes for a craft project.

Answer 1

You have five numbers $\sqrt{6},\ 2\dfrac{1}{2},\ -\sqrt{1},\ \dfrac{7}{2}, \ 3.\overline{3}.$

Among them there is one negative number $-\sqrt{1},$ this number is smallest.

Note that

$(\sqrt{6} )^2=6 \text{ and } \left(2\dfrac{1}{2}\right)^2=(2.5)^2=6.25.$

Since 6.25>6, then

$2\dfrac{1}{2}>\sqrt{6}$

and these numbers are less than 3

Note that

$\dfrac{7}{2}=3.5 \text{ and } 3.\overline{3}=3.333333....,$

then $3.3333333...$ and these numbers are greater than 3.

Therefore, the correct order from the smallest to the greatest is:

$-\sqrt{1}, \quad \sqrt{6},\quad 2\dfrac{1}{2},\quad 3.\overline{3}, \quad \dfrac{7}{2}.$