Place Value

Tiffany with rucksack

 

We use the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 to make all the numbers we use

digits 0-9

 

If we want to make numbers bigger than 9 we have to put more than one digit together.

Where each digit goes depends on its place in that number.

random numbers 437

The 4, 3 and 7 above do not make a number but the 4, 3 and 7 below make the number four hundred and thirty-seven, 437

437

How do we know where each digit goes?

When we count from 1 to 9, each number is a unit.

1 unit1 unit

To show the number 1 we place 1 in the units column.

We have 1 block or 1 unit so we write the digit 1 in the units column

 

 

7 units7 units

In this example we have 7 blocks or 7 units

so we write the digit 7 in the units column

 

Once we have ten units we make a block of ten so we have 1 ten but no units

1 ten 0 units 1 ten 0 units

Here we have 1 block of ten units placed in the tens column and no units.

We write this by putting the digit 1 in the tens column and the digit 0 in the units column.

 

3 tens 2 units

In this example we have 3 blocks of ten or 3 tens and 2 single blocks or 2 units

so we write the digit 3 in the tens column and the digit 2 in the units column

 

Once we have ten blocks of ten we make a block of a hundred so we have 1 hundred but no tens and no units

Here we have 1 block of one hundred units or ten tens placed in the hundreds column with no tens and no units.

We write this by putting the digit 1 in the hundreds column, the digit 0 in the tens column and the digit 0 in the units column.

 

123

In this example we have 1 block of a hundred, 2 blocks of ten and 3 single blocks or units

so we write the digit 1 in the hundreds column, the digit 2 in the tens column and the digit 3 in the units column

 

Harvard Reference for this page:

Heather Y Wheeler. (2015). Place Value. Available: http://www.tiffanymacbeth.com/Maths/place_value.htm. Last accessed


Maths Topics



  

Page last updated 02/04/2016

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