Question

Order the numbers from least to greatest.

$\mathbf{0}\mathbf{.}\mathbf{7}\mathbf{,} \mathbf{-}\mathbf{1}\mathbf{,} \mathbf{-}\frac{\mathbf{5}}{\mathbf{4}}\mathbf{,} \frac{\mathbf{4}}{\mathbf{3}}\mathbf{,} \mathbf{-}\mathbf{2}\mathbf{.}\mathbf{3}\mathbf{,}\mathbf{-}\frac{\mathbf{9}}{\mathbf{2}}$

Short answer

The numbers from least to greatest are $-\frac{9}{2}<-2.3<-\frac{5}{4}<-1<0.7<\frac{4}{3}$.

Step-by-step solution

Step 1. Given information

The number are $0.7,-1,-\frac{5}{4},\frac{4}{3},-2.3,-\frac{9}{2}$.

Step 2. Calculation 

Write the fraction numbers as decimals.

$0.7,-1,-\frac{5}{4},\frac{4}{3},-2.3,-\frac{9}{2}=0.7,-1,-1.25,1.33,-2.3,-4.5$

Arrange the above numbers from least to greatest,

$-4.5<-2.3<-1.25<-1<0.7<1.33$

Thus, the numbers from least to greatest are $-\frac{9}{2}<-2.3<-\frac{5}{4}<-1<0.7<\frac{4}{3}$.