When we multiply decimals it’s usually easier to turn them into ordinary numbers first. We do this by simply **multiplying** them by numbers of **10,100,1000 etc**. This allows us to do normal multiplication. When we find out the answer, we **reverse the process** to find out the **final answer**.

### Example 1

To make it an ordinary number we need to multiply **0.7 by 10** which equals 7.

We then do 5 × 7 = 35

Now **reverse the process**: Divide 35 by 10, making the final answer **3.5**

### Example 2

To make it an ordinary number we need to multiply **0.07 by 100** which equals** 7**.

We then do **6 × 7 = 42**

Now **reverse the process**: Divide **42** by **100**, making the final answer **0.42**

### Example 3

To make it an ordinary number we need to multiply **2.7 by 10** which equals **27**.

We then do** 5 × 27 = 135**

Now **reverse the process**: Divide **135** by **10**, making the final answer** 13.5**

### Example 4

When multiplying two decimals the process is slightly different. Both numbers need to be divided by** 10 × 10 = 100**

To make it an ordinary number we need to multiply both numbers by **10** and **5 × 3 = 15**

Now **reverse the process**: Divide **15** by **100**, making the final answer **0.15**

### Example 5

When multiplying two decimals the process is slightly different. Both numbers need to be divided by** 10 × 100 = 1000**

To make it an ordinary number we need to multiply both numbers by **10** and **100** and **6 × 8 = 48**

Now **reverse the process**: Divide **48** by **1000**, making the final answer **0.048**