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Level 3-4 Numbers - Place Value

Master place value in KS3 maths. Read, write, and compare large and decimal numbers by understanding digits' positions from millions to thousandths, and the value each position represents.

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Fascinating Fact:

In large numbers, commas or spaces are used to group digits into thousands, making them easier to read, such as 1,000,000.

In KS3 Maths, place value tells you what each digit is worth based on its position. You will read and write whole numbers and decimals, use zero as a placeholder, and compare values by looking at each place in turn.

Key Terms

Place value: The value a digit has because of where it sits in the number (ones, tens, hundreds, tenths, and so on).
Digit: Any single number symbol from 0 to 9 used to build whole and decimal numbers.
Decimal point: The dot that separates whole numbers from fractional parts (for example, 1234).

Frequently Asked Questions (Click to see answers)

How do you write large numbers using place value?

Group digits in threes from the right to help reading: 3456789 is 3,456,789. Say it using place names: three million, four hundred fifty-six thousand, seven hundred eighty-nine.

What is the value of a digit in a decimal?

Each place after the decimal point is a fraction of a whole. The first is tenths, then hundredths, then thousandths. For 6.407, the 4 is four tenths.

How do I compare numbers with different decimal places?

Line up decimal points and compare place by place. If needed, add trailing zeros so both have the same number of decimal places before deciding which is larger.

Try These Related Quizzes

1 .

5,221 - re-order this number to get the smallest odd number.

1,225

1,252

1,522

2,512

All the others are even numbers

2 .

2,468 - re-order this number to get the largest even number.

2,468

4,286

6,842

8,642

All of the digits are even so just re-arrange them - highest, then second highest, then third then least

3 .

How many tens are in the number 631?

From the right - Ones, Tens, Hundreds

4 .

How would you write the number 2,011 in words?

Two hundred, one thousand and one eleven

Two thousand and eleven

Two thousand eleven

Two thousands, no hundreds, one ten and one one

Don't forget the 'and'!

5 .

How would you write the number seven thousand, six hundred and thirty-three in figures?

3,667

6,337

7,366

7,633

7 thousands, 6 hundreds, 3 tens and 3 ones

6 .

How many ones are there in the number 9?

There are no tens, hundreds or thousands in the number 9

7 .

How many hundreds in the number 6,814?

Saying it out loud can be helpful

8 .

How many thousands are there in the number 4,647?

4,000 (thousands) + 600 (hundreds) + 40 (tens) + 7 (ones)

9 .

2,468 - re-order this number to get the smallest odd number.

2,468

4,268

6,284

Not possible

None of the numbers are odd

10 .

How many hundreds are there in the number 42?

The number 42 is lower than 100!

You can find more about this topic by visiting BBC Bitesize - Place value

Author: Frank Evans (Specialist 11 Plus Teacher and Tutor)

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