Transcript Ordering and Comparing Integers, Decimals, and Fractions

Ordering and Comparing
Integers, Decimals, and Fractions
Number Line Method
• Step 1 - Plot each number on the
number line.
• Step 2 - Write the numbers starting at
the left most point moving right along
the number line.
Example:
• Order the following from least to
greatest: 5, -1, 0, -9, 3, 2, -7
Stack Method
(decimals only)
• Step 1 - Place all the numbers one on top of
each other with the decimal points lined up.
• Step 2 - Determine the most decimal places
any one number has.
• Step 3 - Add zeros to the end of the other
numbers until all the numbers have the
same amount of decimal places as
determined in step 2.
Stack Method
cont…
• Step 4 - Read the numbers as if
they did not have decimal places.
• Step 5 – Write the original numbers
down in the designated order.
Example:
• Order the following from greatest to least:
2.03, 2.37, 2.038, 2.33, 2.033
Common Denominator Method
(fractions only)
• Step 1 – Find the fraction with the largest
denominator.
• Step 2 – Check to see if the other denominators
will divide evenly into that denominator. If yes, it
is your common denominator move to step 5.
• Step 3 – If no, find the first few multiples of the
largest denominator.
• Step 4 – Check to see if the other denominators
will divide evenly into the multiples starting with
the first one. The first multiple that all the
denominators divide evenly into will be your
common denominator.
Common Denominator Method
cont…
• Step 5 – Create equivalent fractions of the
original fractions by multiplying by the
2 3 4
appropriate representation of 1 ( 2 , 3 , 4 ,etc.)
• Step 6 – Compare numerators and order
them as designated.
• Step 7 – Simplify the equivalent fractions
back to their original form.
Example:
• Order the following from least to greatest
4 2 13 23 5
, , , ,
5 3 15 30 6
Practice
Time!