Understanding place value is important for helping us read and write numbers, and also giving us an idea of just how big a number really is.

There are a lot of words to learn, so it can be helpful to look at this topic using a place value chart.

When finding the value of a digit in a number, we just need to imagine (or find) which column it would be in if we wrote the number in the place value chart.

What is the value of the 3 in 2365?

We start by writing the 5 next to the decimal point and then writing the rest of the numbers to the left.

When finding the value of a digit in a number, we just need to imagine (or find) which column it would be in if we wrote the number in the place value chart.

What is the value of the 3 in 2365?

We start by writing the 5 next to the decimal point and then writing the rest of the numbers to the left.

We can now see that the 3 is in the hundreds column, so must be worth 3\times100=300.

Luckily, it doesn’t get much more difficult than that, you just need to remember the names of the place values!

There is quite a lot to learn here, but luckily we have you covered:

For practice with 3-digit numbers, click here. (https://mathsmadeeasy.co.uk/ks2-revision/year-3-recognise-place-value-digit-3-digit-number/)

Example

What is the value of the 2 in 325?

We’d count along twice, which is the tens, so the 2 is worth 2\times10=20

For Practice with 4-digit numbers, click here. (https://mathsmadeeasy.co.uk/ks2-revision/year-4-recognise-place-value-digit-4-digit-number/)

Example

What is the value of the 4 in 4311?

We’d count along four times, which is the thousands, so the 4 is worth 4\times1,000=4,000

For Practice with numbers up to 1,000,000, click here. (https://mathsmadeeasy.co.uk/ks2-revision/year-5-understand-values-1-million/)

Example

What is the value of the 7 in 273,400?

We’d count along five times, which is the ten thousands, so the 7 is worth 7\times10,000=70,000

For Practice with numbers bigger than 1,000,000, click here. (https://mathsmadeeasy.co.uk/ks2-revision/year-6-determine-value-digit-numbers-1000000/)

Example

What is the value of the 1 in 13,000,412?

We’d count along 8 times, which is the ten millions, so the 1 is worth 1\times10,000,000=1,000,000

For Practice with numbers that have 3 decimal places, click here. (https://mathsmadeeasy.co.uk/ks2-revision/year-6-identify-value-digit-3-decimal-places/)

Example

What is the value of the 9 in 23.789?

This in the third decimal place, which is the thousandths, so the 9 is worth 19\0.001=0.009

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