Question

Will mark brainllest

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

Answer 1

a) The halfway number is
`(-4.5)/(10)`.

b) The ascending order is
`(-1)/(2)`,
`(-4.5)/(10)`and
`(-2)/(5)`.

Explanation:

a)Halfway number is otherwise Middle number.

The halfway number of two numbers =
`(sum of two numbers)/(2)`.

The halfway for
`(-2)/(5)` and
`(-2)/(5)` =
`((-2)/(5)+ ((-1)/(2)))/(2)`.

=
`(-2)/(5)+ ((-1)/(2))`.

=
`(-4-5)/(10)`.

=
`(-9)/(10)`.

∴Halfway =
`((-9)/(10) )/(2)`.

=
`(-4.5)/(10)`

The halfway for
`(-2)/(5)` and
`(-1)/(2)`=
`(-4.5)/(10)`.

b) The ascending order is
`(-1)/(2)`,
`(-4.5)/(10)`and
`(-2)/(5)`.