Using and Applying Decimal Numbers up to 3 Decimal Places

Awesome job! You have decided to spend some time practising for the SATs arithmetic test.

 

In this activity, you will recap how to understand the value of each digit in a number up to 3 decimal places.

You will also spend some time multiplying by 10, 100 and 1000.

 

Example 1: Value of digits

 

How many tenths are there in 4.325?

There are 3 tenths in 4.325

 

A place value chart, like the one below, can help you to find the value of each digit in a number.

 

 

Example 2: Multiplying by 10, 100 and 1000

 

When multiplying any number by 10, 100 and 1000, the digits move to the left and zero is used as a place holder.

 

4.325 x 10 = 43.25....All of the digits have moved one place to the left. 

4.325 x 100 = 432.5....All of the digits have moved two places to the left. 

4.325 x 1000 = 4325....All of the digits have moved three places to the left. 

 

The decimal point does not move.

When multiplying by 10, 100 and 1000, you can again use a place value chart to ensure you put each digit in the correct place!

Below you can see how each digit moves when 4.325 is multiplied by 10.

 

 

Now, over to you to try some of the practice questions...good luck!