In this post we will
be learning how to use positional notation to perform multiplication.
If you need a
review on positional notation please refer to my previous post on
this subject.
Positional Notation
Positional Notation
To refresh on what
positional notation looks like we will write the number 235 with
positional notation.
With a smaller example we can see if this allows us to learn something new about multiplication.
So to multiply 32
and 24 we will first write these two numbers into positional
notation.
Does this look familiar? If we replace the 10 with x and since 10^{0 }= 1 we will
Does this look familiar? If we replace the 10 with x and since 10^{0 }= 1 we will
To put into a more familiar form:
(3x + 2)(2x + 4)
With our number in
this form we can now use basic algebra.
From distributive
property.
a(b+c)

=

(ab)

+

(ac)

We can now multiply
this out using what is sometimes referred to as the foil method
*(First Outer Inner Last)
Now if we substitute
the 10 back in for x
If we put the 10 back in for x then multiply we will get
5,097,076

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