This activity is about multiplying or dividing by powers of 10, such as 0.1, 10, 100 and 1000.

**Multiplying by 10, 100 or 1000**

Each digit moves to the **left **1 place, 2 places or 3 places.

Use zeros to fill in blank columns.

55.6 × 10 = 556

55.6 × 100 = 5560

55.6 × 1000 = 55600

**Dividing by 10, 100 or 1000**

Each digit moves to the **right **1 place, 2 places or 3 places.

Use zeros to fill in blank columns.

55.6 ÷ 10 = 5.56

55.6 ÷ 100 = 0.556

55.6 ÷ 1000 = 0.0556

**Multiplying by 0.1**

0.1 means one tenth, so this is the same as **dividing by 10.**

So, each digit moves 1 place to the **right**.

55.6 × 0.1 = 5.56

Multiplying by 0.1 makes a number smaller.

**Dividing by 0.1**

0.1 means one tenth, so this is the same as **multiplying by 10.**

So, each digit moves 1 place to the **left**.

55.6 ÷ 0.1 = 556

Dividing by 0.1 makes a number bigger.

Note that, although large numbers would normally include commas to separate the thousands, in this activity we have omitted the commas in case they were confused for the decimal point!

The best way to understand this is to practise by doing some questions - so what are we waiting for?!