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PLZ HELP ME

Consider the rational numbers -2/5 and -1/2

a; What rational number is halfway between those numbers? Show your work.


b:Arrange -2/5 ,-1/2, and the answer to Part (a) in increasing order. Explain how you know.


could yall guys plz show your work thank youuuu

Respuesta :

a) The halfway number is [tex]\frac{-4.5}{10}[/tex].

b) The ascending order is [tex]\frac{-1}{2}[/tex],[tex]\frac{-4.5}{10}[/tex]and [tex]\frac{-2}{5}[/tex].

Step-by-step explanation:

a)Halfway number is otherwise Middle number.

The halfway number of two numbers = [tex]\frac{sum of two numbers}{2}[/tex].

The halfway for [tex]\frac{-2}{5}[/tex] and [tex]\frac{-2}{5}[/tex] = [tex]\frac{\frac{-2}{5}+ (\frac{-1}{2})}{2}[/tex].

=[tex]\frac{-2}{5}+ (\frac{-1}{2})[/tex].

= [tex]\frac{-4-5}{10}[/tex].

=[tex]\frac{-9}{10}[/tex].

∴Halfway =[tex]\frac{\frac{-9}{10} }{2}[/tex].

=[tex]\frac{-4.5}{10}[/tex]

The halfway for [tex]\frac{-2}{5}[/tex] and [tex]\frac{-1}{2}[/tex]= [tex]\frac{-4.5}{10}[/tex].

b) The ascending order is [tex]\frac{-1}{2}[/tex],[tex]\frac{-4.5}{10}[/tex]and [tex]\frac{-2}{5}[/tex].