# Using and Applying Decimal Numbers up to 3 Decimal Places

In this worksheet, students will recap the place value of numbers with up to 3 decimal places. This worksheet will also rehearse how to multiply decimal numbers by 10, 100 and 1000. These place value skills need to be cemented for the SATs Arithmetic paper.

Key stage:  KS 2

Curriculum topic:   Exam-style Questions: SATs Maths

Curriculum subtopic:   Exam-Style Questions: Accurate Decimal Calculations

Difficulty level:

### QUESTION 1 of 10

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!

How many tenths are there in 6.789?

7

8

9

5

Look at this number:

7.921

Can you match the digits from the number with the correct labels?

## Column B

7=
tenths
9=
thousandths
2=
hundredths
1=
ones

Match the value of 4 in the following numbers:

## Column B

11.423
4 thousandths
1.234
4 hundredths
2.345
4 ones
4.678
4 tenths

Shria says:

'My number has the same amount of tenths and hundredths.'

Select Shria's number.

3.121

3.001

3.232

3.221

Can you complete the mathematical statement correctly by filling in the blanks?

3.121

3.001

3.232

3.221

Fill in the missing numbers in the calculations:

3.121

3.001

3.232

3.221

Fill in the missing numbers in the calculations:

3.121

3.001

3.232

3.221

Miss Smith buys herself a coffee every morning that costs £2.32.

How much does she spend after 100 days?

3.121

3.001

3.232

3.221

Stafford Airways charge £1600.50 for a return flight to Australia.

Stoke Airways are ten times more expensive.

How much do Stoke airways charge for a return flight to Australia?  Input your answer without a comma.

3.121

3.001

3.232

3.221

A Playstation 4 game costs £45.67.

How much will one hundred games cost?

3.121

3.001

3.232

3.221

• Question 1

How many tenths are there in 6.789?

7
EDDIE SAYS
Did you spot that there are 7 tenths in 6.789? It can help to write the number out and label each column to remind yourself of the value of each digit.
• Question 2

Look at this number:

7.921

Can you match the digits from the number with the correct labels?

## Column B

7=
ones
9=
tenths
2=
hundredths
1=
thousandths
EDDIE SAYS
How are you doing? Did you label each digit with its corresponding name correctly? Strong place value skills are essential for the SATs arithmetic paper and will help you in all areas of Maths...think of place value understanding as the foundations that all good Maths thinking is built upon!
• Question 3

Match the value of 4 in the following numbers:

## Column B

11.423
4 tenths
1.234
4 thousandths
2.345
4 hundredths
4.678
4 ones
EDDIE SAYS
Did you read the question carefully? A good understanding of place value is vital and helps you to visualise calculations in the SATs tests. You have made a good start- keep it up!
• Question 4

Shria says:

'My number has the same amount of tenths and hundredths.'

Select Shria's number.

3.221
EDDIE SAYS
Nice job if you chose 3.221, this is the only number that has the same amount of tenths and hundredths. Make sure you always read each question twice in the test to ensure you don't make any silly mistakes that you could easily avoid!
• Question 5

Can you complete the mathematical statement correctly by filling in the blanks?

EDDIE SAYS
Did you remember that when multiplying by 10, all of the digits move one place to the left? This is a key mathematical rule that you should remember! You are halfway through this activity, keep up the great work!
• Question 6

Fill in the missing numbers in the calculations:

EDDIE SAYS
Take a deep breath; you've got this! Take your time and think carefully about how many places you need to move each digit. 12.4 x 10 = 124 (each digit has moved one place to the left). 2.345 x 1000 = 2345 (each digit has moved three places to the left).
• Question 7

Fill in the missing numbers in the calculations:

EDDIE SAYS
Are you feeling more confident? 3.57 x 100 = 357 2.2 x 1000 = 2200 Remember it is a great idea to draw a place value chart to help you move each digit.
• Question 8

Miss Smith buys herself a coffee every morning that costs £2.32.

How much does she spend after 100 days?

EDDIE SAYS
Did you get the hang of this one? To find the answer, we had to multiply £2.32 by 100 by moving each digit two places to the left. When we calculate with money, we apply exactly the same rules as when using any decimal number.
• Question 9

Stafford Airways charge £1600.50 for a return flight to Australia.

Stoke Airways are ten times more expensive.

How much do Stoke airways charge for a return flight to Australia?  Input your answer without a comma.

EDDIE SAYS
Don't be afraid to give it a go! To crack this one, £1600.5 had to be multiplied by 10, giving us Stoke airway's price of £16,005. Being able to multiply by 10, 100 and 1000, is a really useful skill when calculating with money.
• Question 10

A Playstation 4 game costs £45.67.

How much will one hundred games cost?

EDDIE SAYS
Keep trying until you get it right! £45.67 x 100 = £4567 To solve this one, we had to move each digit two places to the left. If you can remember the simple rules when multiplying by 10, 100 and 1000, then there is no need to use written methods such as grid or column, which will save you lots of time in the tests! Well done! That's another activity completed!