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 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.

• Step 2 - Determine the most decimal places any one number has.

Stack Methodcont…

•  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 Methodcont…

• Step 5 – Create equivalent fractions of the original fractions by multiplying by the appropriate representation of 1 ( ,etc.)

•  Step 6 – Compare numerators and order them as designated.

•  Step 7 – Simplify the equivalent fractions back to their original form.

4

4,

3

3,

2

2

Example:

• Order the following from least to greatest

6

5,

30

23,

15

13,

3

2,

5

4

Practice Time!