Answer :
The given numbers are :
[tex]-2.5,\text{ -1}\frac{1}{2},\text{ }-\frac{3}{4},\text{ -3}\frac{1}{10},\text{ -30\%}[/tex]Simplify each term into decimal form :
- 2.5 = - 2.5
Now simplify the second term : -1 1/2
[tex]\begin{gathered} -1\frac{1}{2}=-\frac{1\times2+1}{2} \\ -1\frac{1}{2}=-\frac{3}{2} \\ -1\frac{1}{2}=-1.5 \end{gathered}[/tex][tex]-\frac{3}{4}=-0.75[/tex][tex]\begin{gathered} -3\frac{1}{10}=-\frac{3\times10+1}{10} \\ -3\frac{1}{10}=-\frac{30+1}{10} \\ -3\frac{1}{10}=-\frac{29}{10} \\ -3\frac{1}{10}=-2.9 \end{gathered}[/tex][tex]\text{ -30 \% = 0.3 \%}[/tex]So, the numbers are :
[tex]-2.5,\text{ -1}\frac{1}{2},\text{ }-\frac{3}{4},\text{ -3}\frac{1}{10},\text{ -30\%}[/tex]Thus, we get :
[tex]\begin{gathered} -2.5=-2.5 \\ -1\frac{1}{2}=-0.5 \\ -\frac{3}{4}=-0.75 \\ -3\frac{1}{10}=-2.9 \\ -30\text{ \%=- 0.3} \end{gathered}[/tex]The greater is the number with the neagtive sign least is the number,
So, the greatest number - 2.9 < - 2.5 < - 0.75 < - 0.5 < -0.3
Arrange of these number from least to greatest :
[tex]\begin{gathered} -2.9<-2.5<-0.75<-0.5<-0.3 \\ \text{ Since : - 1.5=}\frac{3}{2} \\ -0.75\text{ = }-\frac{3}{4} \\ -2.9=-3\frac{1}{10} \\ \text{- 0.3}=\text{ -30 \% } \end{gathered}[/tex]No comapre :
-2.9 < - 2.5 < - 0.75 < - 0.5 < -0.3
[tex]-3.1<-2.5<-0.75<-1.5<-0.3=-3\frac{1}{10}<-2.5<-1\frac{1}{2}<-\frac{3}{4}<-\text{ 30\%}[/tex]Answer : d)
[tex]-3\frac{1}{10}<-2.5<-1\frac{1}{2}<-\frac{3}{4}<-\text{ 30\%}[/tex]
