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Expanded Notation

Expanded Notation: showing the numerals full value.
 
So let's write the following in Expanded Notation;
 
 
(i)  24,214   Twenty Four Thousand, Three Hundred and Fourteen
 
Firstly idientify your place values;
 

24,314

            4(units)

          1(tens)

        3(hundreds)

    4(thousands)

2(ten-thousands)      

 
Now that we've idientified the place values we can start off with the 2
 
2 can be written as 2 lots of Ten-Thousands (2 x 10,000)
 
 4 can be written as 4 lots of Thousands        (4 x 1,000)
 
3 can be written as 3 lots of Hundreds           (3 x 100)
 
1 can be written as 1 lot of Ten                       (1 x 10)
 
4 can be written as 4 lots of one(units)          (4 x 1)
 
 
So now we will put this all together and write it as you would in your homework book!
 
Expanded Notation for 24,314 is as follows;
 
 
24,314  (2 x 10,000) + (4 x 1,000) + (3 x 100) + (1 x 10) + (4 x 1)
 
 
 
OK we'll do 1 more!
 
 
(ii) 2,043,056 Two Million Forty Three Thousand and Fifty Six
 
Firstly idientify your place values;
 

 2,043,056

                  6(units)

                5(tens)

              0(hundreds)

           3(thousands)

        4(ten-thousands)

     0(hundred-thousands)

2(millions)

 
Now that we've idientified the place values we can start off with the 2
 
 
2 can be written as 2 lots of Milloins                       (2 x 1,000,000)
 
0 can be written as zero Hundred-Thousands       (0 x 100,000)
 
4 can be written as 4 lots of Ten-Thousands         (4 x 10,000)
 
3 can be written as 3 lots of Thousands                 (3 x 1,000)
 
0 can be written as zero Hundreds                          (0 x 100)
 
5 can be written as 5 lots of Ten                              (5 x 10)
 
6 can be written as 6 lots of one(units)                   (6 x 1)
 
 
 
So now we will put this all together and write it as you would in your homework book!
 
 
Expanded Notation for 2,043,056 is as follows;
 
 
2,043,056 = (2 x 1,000,000) + (4 x 10,000) + (3 x 1,000) + (5 x 10) + (6 x 1)
 
In the above equation written in expanded notation, you will see that I didn't write down the (0 x 100,000) nor the (0 x 100) as there is no value in either of them. So it is not necessary to include them in the equation at the end. 
 
 
 
 
 
 
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