# Understand Place Value

In this worksheet, students will calculate the number value represented by specific digits, using knowledge of place value in both larger whole numbers and decimals.

Key stage:  KS 4

GCSE Subjects:   Maths

GCSE Boards:   Pearson Edexcel, OCR, Eduqas, AQA

Curriculum topic:   Number, Number Operations and Integers

Curriculum subtopic:   Structure and Calculation, Whole Number Theory

Difficulty level:

### QUESTION 1 of 10

When using place value, it is useful to use a table that looks something like this:

 Thousands Hundreds Tens Units . Tenths Hundredths Thousandths x 1000 x 100 x 10 x 1 . ÷ 10 ÷ 100 ÷ 1000 8 7 6 5 . 4 3 2

If we want to know what magnitude each of the numbers represents, we need to look at which column it lies in.

e.g. The number 7 in the table is in the 'Hundreds' column.

This means we need to multiply by 100 to find its true value.

7 x 100 = 700

This means that the digit 7 in this table represents the number 700 in reality.

e.g. The number 2 in the table is in the 'Thousandths' column.

This means we need to divide by 1000 to find its true value.

2 ÷ 1000 = 0.002

This means that the digit 2 represents 0.002.

In this activity, you will calculate the number value represented by specific digits using your knowledge of place value in both larger whole numbers and decimals.

Let's get going!

In the number 347.218, what does the digit 4 represent?

In the number 347.218, what does the digit 3 represent?

3

30

300

In the number 347.218, which place value column is the 7 in?

Hundreds

Tens

Units

Tenths

In the number 347.218, what does the digit 2 represent?

2

0.2

20

In the number 347.218, which column is the 8 in?

Tenths

Hundredths

Thousandths

Consider the number 281.326.

Then complete the sentence below.

Tenths

Hundredths

Thousandths

In the number 281.326 what does the digit 8 represent?

In the number 381.326, what does the digit 2 represent?

2

0.02

0.0002

Look at the number 281.336.

Now complete the sentence below.

2

0.02

0.0002

For the number 281.356, match each digit with its correct place value column.

## Column B

2
Tenths
8
Hundredths
1
Thousandths
3
Units
5
Hundreds
6
Tens
• Question 1

In the number 347.218, what does the digit 4 represent?

40
EDDIE SAYS
4 is in the tens column. 4 x 10 = 40 The common mistake here is to just think '4'. Remember, place value is important here. It would only be 4 if it was placed in the units or ones column, so where the 7 is in the question number. Let's try another...
• Question 2

In the number 347.218, what does the digit 3 represent?

300
EDDIE SAYS
How did you do here? 3 is in the hundreds column: 3 x 100 Did you get that one?
• Question 3

In the number 347.218, which place value column is the 7 in?

Units
EDDIE SAYS
Hopefully, you're getting the hang of this with each question! The 7 is the first digit to the left of the decimal places. This means it in the units column. Did you know that the 'units' column can be referred to as the 'ones' column too?
• Question 4

In the number 347.218, what does the digit 2 represent?

0.2
EDDIE SAYS
The 2 is the first number to the right of the decimal place, this means it's in the tenths column. To get the answer, you have to think - what is 2 tenths as a decimal? The calculation to complete it: 2 ÷ 10 = 0.2
• Question 5

In the number 347.218, which column is the 8 in?

Thousandths
EDDIE SAYS
If we look at the columns to the right of the decimal point, they're called tenths, hundredths and thousandths. 8 is in the third column after the decimal, so it's in the thousandths column. Refer back to the table in the intro to check this if you are at all unsure or would like to see this represented visually.
• Question 6

Consider the number 281.326.

Then complete the sentence below.

EDDIE SAYS
1 is in the units column: 1 x 1 Good effort!
• Question 7

In the number 281.326 what does the digit 8 represent?

80
EDDIE SAYS
8 is in the tens column, this means there are 8 lots of 10: 8 x 10 How did you find that one?
• Question 8

In the number 381.326, what does the digit 2 represent?

0.02
EDDIE SAYS
2 is in the hundredths column (the second to the right after the decimal). If it's to the right, don't forget we need to divide: 2 ÷ 100 = 0.02
• Question 9

Look at the number 281.336.

Now complete the sentence below.

EDDIE SAYS
Are these challenges getting easier? 2 is in the hundreds column, this means we have 2 lots of 100: 2 x 100
• Question 10

For the number 281.356, match each digit with its correct place value column.

## Column B

2
Hundreds
8
Tens
1
Units
3
Tenths
5
Hundredths
6
Thousandths
EDDIE SAYS
Remember the difference between hundreds and hundredths? Starting at the left, the order is: Hundreds, tens, units, (decimal point), tenths, hundredths, thousandths. Refer back to the intro for a final time to check this out. Do you feel that this place value table is clear in your head now? Well done, that’s another activity completed!
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