Place Value Worksheets | Questions and Revision | MME

# Place Value Worksheets, Questions and Revision

Level 1 Level 2 Level 3

## What you need to know

### Place Value

Place value is all about the value of each digit within a number. Each digit has a different value determined by its position. For example, in the number 157, the ‘7’ is just worth 7, but the ‘5’ isn’t actually worth 5 – it’s worth 50, and the ‘1’ isn’t worth 1 – it’s worth 100.

### Place Value: Large Numbers

The reason they are separated into clumps of 3 digits by commas is because there is a pattern. Going from right to left, each digit is worth

One, then ten, then a hundred.

Then, after the first comma,

One thousand, then ten thousand, then a hundred thousand.

Then, the next 3 would be

One million, then ten million, and so on.

### Place Value: Small Numbers

Digits after the decimal place also have a value, but this decreases the further you move away from the decimal point.

### Example 1: Large Number

State the place value of the 6 in 4,609.

Counting from right to left, we can see that the 6 is in the third column along – the hundreds column. Therefore, the value of the ‘6 digit’ in this number is 600.

Note: a quick way to state how much that digit is worth is simply to make all the other digits in the number into zeros. This works the same way for decimal place value, as we are about to see.

### Example 2: Small Number

In the number 0.56023, what is

a)The value of the 5?

b)The value of the 2?

a) The 5 is the first digit after the decimal place, meaning it is in the tenths column. So, it is worth

$\dfrac{5}{10} \text{ or }0.5$

b) The 2 is the 4th digit after the decimal place, meaning it is in the ten thousandths column. So, it is worth

$\dfrac{2}{10,000}\text{ or }0.0002$

In both of these cases, the trick of “making all other digits into zeros” would give us the correct answer.

Note:Questions specifically based on place value are not very common but understanding place value is super important for being able to work with numbers in all kinds of questions.

### Example Questions

The 8 is the 3rd digit from the right, meaning it’s in the hundreds column. So, the value is,

$800$ or $\text{eight hundred}$

The 1 is one place after the decimal point, meaning it is in the tenths column. So, the value is,

$\dfrac{1}{10}$ or $\text{one tenth}$

The 6 is three places after the decimal point, meaning it is in the thousandths column. So, the value is

$\dfrac{6}{1000}$ or $\text{six thousdandths}$

The 5 is the 6th digit from the right, meaning it’s in the hundred thousands column. So, the value is,

$500,000$ or $\text{five hundred thousand}$

3 thousands = 3,000

5 tens = 50

1 hundredth = 0.01

Adding these all together, we get Becky’s number to be

$3,000+50+0.01=3,050.01$

### Worksheets and Exam Questions

Level 1-3

Level 6 Level 7

#### Areas of Shapes Worksheets, Questions and Revision

Level 1 Level 2 Level 3

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