Question

8 Five negative numbers are shown below. -2.5, -1į, -, -3, -30% Which list shows the numbers in order from least to greatest? (8.1B, 8.1F) F -2.5, -12, 3 4 -30%, -310 -13, -2.5, -31 3 G -30%, - 4' 10 Alw H -310, -30%, -2.5, -11, J-310,-2.5, -1 -2.5, -12, J 3 -- -30% 1 4

Answer 1

The given numbers are :

`-2.5,\text{ -1}(1)/(2),\text{ }-(3)/(4),\text{ -3}(1)/(10),\text{ -30\%}`

Simplify each term into decimal form :

- 2.5 = - 2.5

Now simplify the second term : -1 1/2

`\begin{gathered} -1(1)/(2)=-(1*2+1)/(2) \\ -1(1)/(2)=-(3)/(2) \\ -1(1)/(2)=-1.5 \end{gathered}`
`-(3)/(4)=-0.75`
`\begin{gathered} -3(1)/(10)=-(3*10+1)/(10) \\ -3(1)/(10)=-(30+1)/(10) \\ -3(1)/(10)=-(29)/(10) \\ -3(1)/(10)=-2.9 \end{gathered}`
`\text{ -30 \% = 0.3 \%}`

So, the numbers are :

`-2.5,\text{ -1}(1)/(2),\text{ }-(3)/(4),\text{ -3}(1)/(10),\text{ -30\%}`

Thus, we get :

`\begin{gathered} -2.5=-2.5 \\ -1(1)/(2)=-0.5 \\ -(3)/(4)=-0.75 \\ -3(1)/(10)=-2.9 \\ -30\text{ \%=- 0.3} \end{gathered}`

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 :

`\begin{gathered} -2.9<-2.5<-0.75<-0.5<-0.3 \\ \text{ Since : - 1.5=}(3)/(2) \\ -0.75\text{ = }-(3)/(4) \\ -2.9=-3(1)/(10) \\ \text{- 0.3}=\text{ -30 \% } \end{gathered}`

No comapre :

-2.9 < - 2.5 < - 0.75 < - 0.5 < -0.3

`-3.1<-2.5<-0.75<-1.5<-0.3=-3(1)/(10)<-2.5<-1(1)/(2)<-(3)/(4)<-\text{ 30\%}`

Answer : d)

`-3(1)/(10)<-2.5<-1(1)/(2)<-(3)/(4)<-\text{ 30\%}`