Question

The point R is halfway between the integers on the number line below and represents the number ____. (Use the hyphen for negative numbers and write the answer as a decimal, such as -6.4).

Answer 1

The answer would be -5.5.

Answer 2

The point R halfway between the integers on the number line is -5.5

Explanation:

Topic: Number Line Representation

Given;

2 integers whose values are -6 and -5

Point R which is half way between the two digits

Let x represent -6

Let y represent -5

So, x = -6

and y = -5

To get point R, we have to calculate the mean or average of these two integers.

Mean is calculated using the following formula

`Mean = ((x_(1) + x_(2) + x_(3) + ..... + x_(n)))/(n)`

Where n is the number of variables

In this case, n = 2.

So,

`Mean = (x_(1) + x_(2))/(2)`

Where
`x_(1) and x_(2)` are the first and second data.

So, we can say that

`R = (x + y)/(2)`

By Substitution

`R = (-5 + (-6))/(2)`

`R = (-5 -6)/(2)`

`R = (-11)/(2)`

`R = -5.5`

Hence, the point R halfway between the integers on the number line is -5.5