# Abridged Multiplication/Examples/Arbitrary Example

## Example of Abridged Multiplication

Let:

 $\ds x$ $=$ $\ds 5.6982$ $\ds y$ $=$ $\ds 23$

Let it be required that $z = x y$ is to be rounded to $2$ decimal places.

Then, when we calculate:

$z = 5.6982 \times 23$

we can ignore the $4$th decimal place in the partial products of $x y$.

## Demonstration

Performing the full multiplication:

    5.6982
x      23
----------
17.0946
113.9640
----------
131.0586
----------


which rounds to $131.06$.

Ignoring the $4$th decimal place:

    5.6982
x      23
----------
17.0946
113.9640
----------
17.094        -- dropping the 4th decimal place
113.964
----------
131.058
---------


which again rounds to $131.06$.

$\blacksquare$