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Ordering Fractions
Mathematics, Grade 6
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Study Guide Ordering Fractions Mathematics, Grade 6
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ORDERING
RATIONAL
NUMBERS
What
Is
Ordering
Rational
Numbers?
•
A
rational
number
is
any
number
that
can
be
written
as
a
ratio
of
two
integers.
The
term
“rational”
comes
from
the
word
“ratio.”
•
A
number
is
rational
if
we
can
write
it
as
a
fraction
and
the
numerator
and
denominator
are
both
integers
(whole
numbers).
•
Every
integer
is
a
rational
number,
since
each
integer
can
be
written
as
n/1.
•
The
order
of
rational
numbers
depends
on
their
relationship
to
each
other
and
to
zero.
Rational
numbers
can
be
dispersed
along
a
number
line
in
both
directions
from
zero.
_____________________________________________________________
←
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
+1
+2
+3
+4
+5
+6
+7
+8
+9
+10
→
How
to
order
rational
numbers:
•
Begin
by
ordering
the
positive
whole
numbers
from
least
(smallest)
to
greatest
(largest).
For
example,
the
numbers
14,
5,
60,
34
and
25
would
be
ordered
5,
14,
25,
34,
60.
•
Next,
order
the
negative
numbers
least
to
greatest,
remembering
the
larger
the
integer
the
smaller
it
is
(further
from
zero).
So,
the
correct
order
for
-40,
-46,
-77,
-12,
-3
and
-100
would
be:
-100,
-77,
-46,
-40,
-12,
-3
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purchaser
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•
Fractions
are
rational
numbers
that
fall
between
0
and
1.
For
example,
½
and
¼
are
less
than
one
and
more
than
zero.
When
ordering
fractions,
compare
them
by
calculating
equivalent
fractions.
This
will
help
in
the
ordering
process.
Decide
which
fraction
is
least
by
comparing
the
numerators
of
fractions
with
like
denominators:
4/9
<
7/9
11/15
<
14/15
8/21
<
19/21
•
Ordering
rational
numbers
requires
an
understanding
of
how
a
number
line
is
set
up.
The
negative
numbers
appear
to
be
going
down
towards
zero,
while
the
positive
numbers
increase
as
they
move
away
from
zero.
How
would
you
order
these
numbers?
-15
45
32
-20
-6
4
14
-12
•
Separate
the
positive
numbers
from
the
negative
numbers
and
then
order:
-20
-15
-12
-6
4
14
32
45
•
Order
fractions
by
calculating
equivalent
fractions
if
necessary.
Ordering
can
not
be
based
simply
on
the
denominators.
5/32
1/4
5/8
11/16
11/12
•
Order
a
mixture
of
whole
numbers
and
fractions
by
remembering
that
proper
fractions
are
all
less
than
one
and
greater
than
zero.
Calculating
equivalent
fractions
if
necessary.
Ordering
can
not
be
based
simply
on
the
denominators.
-20
-4
0
1/4
5/8
3
25
56
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Try
This!
Put
these
rational
numbers
in
the
correct
order:
24
-21
14
-5
-13
7
-8
______________________________________________
6
39
-50
-32
35
-5
-6
______________________________________________
4
-6
-12
76
-56
-25
42
______________________________________________
7/18
11/18
3/6
2/9
1/36
______________________________________________
8
2/3
17
1/6
1
3/8
20
______________________________________________
© Copyright NewPath Learning. All Rights Reserved.
Permission
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granted
for
the
purchaser
to
print
copies
for
non-commercial
educational
purposes
only.
Visit
us
at
www.NewPathLearning.com.
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