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For this exercise, you need
♥ INTERNET EXPLORER 6.0 and above, with MathPlayer installed.♥
PRACTICE WITH THE FORM
a⋅bc
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The concepts for this exercise are summarized below.
For a complete discussion, read the text.
One pattern that arises frequently in working with fractions is
a⋅b
c .
It's important to realize that this expression can be
written in many different ways:
a⋅b
c =
b
ac
=
b⋅a
c =
ab⋅1
c =
b
a⋅1
c =
a⋅
1c⋅
b =
1
c⋅b
a =
b⋅
1a⋅
c =
ac
⋅1c
=
1
c⋅a
b = ...
Note that a factor in the numerator can optionally be centered next to the fraction.
Or, a factor centered next to a fraction can be moved into the numerator.
However, a factor in the denominator must stay in the denominator.
EXAMPLES:
Let a , b and c
be nonzero real numbers.
The expressions
a⋅bc
and
bac
are ALWAYS EQUAL.
The expressions
ab⋅1c
and
a⋅1bc
are NOT ALWAYS EQUAL.