Comparing & Ordering Decimal Numbers​

 

Place Value

 

​HundredsTens​Units​.​Tenths​Hundredths​Thousandths​
21​6​.​5​2​8​

 

Comparing Decimal Numbers

 

Step 1 - put the numbers in columns and make sure the decimal points are in line.

Step 2 - compare the digits starting from the left.

 

Example:

Compare 0.48 and 0.467 to see which is bigger.

Line up the numbers with the digits in columns

0

.4​8​
​0.​4​6​7​

Read the digits starting from the left:

Both numbers have no units so you look at the tenths.

Both numbers have 4 tenths so you look at the hundredths.

0.48 has 8 hundredths and 0.467 has 6 hundredths so 0.48 is bigger.

 

Ordering Decimal Numbers

 

Step 1 - put all the numbers in columns with the decimal points lined up.

Step 2 - compare the digits starting from the left.

Step 3 - if you have a long list of numbers to compare, cross off each number as you go so you don't miss any out.

 

Example

Put the following numbers in order from biggest to smallest:

2.254.741​2.44​4.578​​3.81.65​2.89

Line up the numbers with the digits in columns

2​.​2​5
​4​.​7​4​1
​2​.​4​4
​4​.​5​7​8
​3​.​8
​1​.​6​5
​2​.​8​9

Compare the numbers starting from the left and cross them off as you go

From biggest to smallest the numbers are:

​4.7414.578​3.8​2.89​2.44​2.25​1.65​