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Multiple Representation of Rational Numbers
Mathematics, Grade 6
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Study Guide Multiple Representation of Rational Numbers Mathematics, Grade 6
❮
1
/
3
❯
What
Are
Multiple
Representations
of
Rational
Numbers?
•
A
rational
number
represents
a
value
or
a
part
of
a
value.
•
Rational
numbers
can
be
written
as
integers,
fractions,
decimals,
and
percents.
•
The
different
representations
for
any
given
rational
number
are
all
equivalent:
3/10
=
.30
=
30%
4/5
=
.80
=
80%
•
The
purpose
for
which
the
ratio
is
being
used
will
determine
the
form.
o
He
ate
3/5
of
the
pizza.
o
The
interest
rate
of
.27
on
a
bank
loan
is
very
high.
o
Only
42%
of
the
class
passed
the
test.
How
to
calculate
and
write
multiple
representations
of
rational
numbers:
•
Fractions
are
numbers
that
represent
parts
of
a
region
or
a
set.
They
are
written
as
ratios.
o
1/5
=
1
part
of
a
set
of
5
o
2/7
=
2
parts
of
a
set
of
7
•
Decimals
are
fractions
with
a
denominator
of
100
and
written
with
a
decimal
point.
o
2/5
=
40/100
or
.40
o
6/10
=
60/100
or
.60
•
Percents
are
the
numerator
of
a
fraction
with
a
denominator
of
100
and
written
with
a
percent
%
sign.
o
44/100
=
44%
o
87/100
=
87%
•
To
calculate
the
different
representations,
think
“equivalent
fractions.”
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the
purchaser
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print
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•
If
½
=
2/4
=
25/50
=
50/100,
then
½
also
equal
.50
or
50%
o
50%
of
the
class
passed
the
test.
If
there
are
20
students,
only
10
passed.
o
They
painted
50%
of
the
house
today,
in
other
words
½
of
the
painting
is
done.
o
50
cents
is
written
as
$.50
which
is
the
same
as
½
of
a
dollar.
•
Some
fractions
cannot
be
changed
into
fractions
with
100
as
the
denominator.
For
instance
1/3
cannot
become
n/100
because
3
does
not
divide
evenly
into
100.
We
can
choose
the
number
closest
to
100
÷ 3
in
order
to
calculate
a
percent.
Any
fraction
can
be
changed
to
a
percent
that
is
approximate
by
dividing
the
numerator
by
the
denominator.
For
instance,
3/7
would
be
approximately
22%.
o
1/3
is
about
33%
o
1/7
is
about
14%
o
5/9
is
approximately
56%
o
21/37
is
approximately
57%
•
You
will
see
fractions
such
as
1/2,
2/3,
and
¾
in
recipes.
All
references
to
money
or
coins
use
decimal
representations:
$.45
(45
cents),
$.75
(75
cents).
Percents
are
used
in
newspaper
articles
which
discuss
parts
of
groups.
For
instance,
you
might
read:
“After
the
hurricane,
90%
of
the
city
was
without
electricity.”
Choose
the
representation
that
best
suits
the
context.
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
Try
This!
4/20
=
n/100
n
=
_____
15/25
=
n/100
n=
_____
65/100
=
_____%
76/100
=
_____%
The
decimal
representation
for
51/100
is
__________.
The
decimal
representation
for
43/50
is
__________.
The
fraction
6/9
is
approximately
_____%.
© Copyright NewPath Learning. All Rights Reserved.
Permission
is
granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
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