Question

Ken lives $\dfrac{7}{{10}}$ mi west of school. Barbie lives $\dfrac{9}{{10}}$ mi east of school. How far apart do Ken and Barbie live?

Answer 1

Hint: For solving this particular problem we just have to take the sum of the distance between Ken and School and the distance between School and Barbie . Ken lives west of the school and the distance between Ken and School is $\dfrac{7}{{10}}$ mi , Barbie lives east of the school and the distance between School and Barbie is $\dfrac{9}{{10}}$ mi .

Complete step by step solution:
It is given that ,
Ken lives west of the school and the distance between Ken and School is $\dfrac{7}{{10}}$ mi ,
Barbie lives east of the school and the distance between School and Barbie is $\dfrac{9}{{10}}$ mi .

Let us draw a simple diagram for this question, this will help in understanding the question in the better way :
                  $\dfrac{7}{{10}}mi \text{ }$ $\dfrac{9}{{10}}mi$
Ken--------------School---------------Barbie

We have to find the distance between Ken and Barbie ,
It is given as the sum of the distance between Ken and School and the distance between School and Barbie .
Or
$ \Rightarrow \dfrac{7}{{10}} + \dfrac{9}{{10}}$ mi
Now, simplify the above equation.
We will get the following result ,
$ \Rightarrow \dfrac{16}{{10}}$ mi

Additional Information:
Addition and subtraction of integers is a bit complex. Addition and subtraction are the two functions that are the fundamental mathematical functions. In integers this function is a bit complicated because of the presence of a specific sign before the amount. However, once you add or subtract two numbers with the identical sign you are doing as directed, but if the numbers have different signs then it's different.
If there's subtraction between a positive and a negative number then there's addition.
Rules of integers for addition and subtraction :
1) If the two numbers have different sign like positive and negative then subtract the two numbers and provide the sign of the larger number.
2) If the two numbers have the same sign i.e. either positive or negative signs then add the two numbers and provide the common sign.
3) (positive) $\times$(positive) = positive sign.
4) (negative) $\times$(negative) = negative sign.
5) (positive) $\times$(negative) = negative sign.
6) (negative) $\times$(positive) = negative sign.

Note: The solution of the addition or subtraction between two numbers will have the sign of the greater number. If there's subtraction between a positive and a negative number then there's addition.