### 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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