**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**

0.48 0.467

**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**

2.25 4.7412.44 4.5783.8 1.65 2.89

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

From biggest to smallest the numbers are:

4.7414.5783.82.892.442.251.65