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 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:

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