Decimal Numbers

Comparing & Ordering Decimal Numbers​

Place Value

​Hundreds Tens​ Units​ .​ Tenths​ Hundredths​ Thousandths​
​2 1​ 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:

2.25 4.741​ 2.44​ 4.578​ ​3.8 1.65​ 2.89

Line up the numbers with the digits in column

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:

​4.741 4.578​ 3.8​ 2.89​ 2.44​ 2.25​ 1.65​
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