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 |