# 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 |