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| | Imagine that we are adding 205 to 876. | | Imagine that we are adding 205 to 876. |
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| − | *Firstly, write the numbers above each other - make sure that you write units first, then tens, then hundreds, and so on. Writing from right to left helps here. | + | *Firstly, write the numbers above each other. Make sure that the digits of both numbers are clearly aligned according to their place values (i.e. ''hundreds, tens and units''). Leaving a definite space between your columns helps avoid confusion, especially with larger sums. |
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| | + | *Then, it is as simple as adding the columns. Begin in the units column and work from right to left. |
| | + | *In our example, adding 5 and 6 gives 11. 11 can be thought of as 1 ten and 1 unit. The unit is recorded in the answer box in the units column. The ten must be "carried" into the tens column, so the next operation is 7 + 0 ''+ 1'' = 8. The eight is recorded in the answer box in the tens column.<ref>Properly speaking, this operation is 70 + 0 ''+ 10'' = 80.</ref> |
| | + | *Finally, we add the digits in the hundreds column (8 + 2 = 10).<ref>Similarly, 800 + 200 = 1000.</ref> The zero is recorded in the answer box in the hundreds column, and the one is placed in the answer box in a new thousands column. |
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| − | *Then, it is as simple as adding the columns, again, from right to left. If you get a number that it ten or greater - in our example, adding 5 and 6 gives 11 - then right the first digit under the column one 'space' to the left. This then becomes part of the column of numbers that you add. If there is nothing in a column, treat it as 0 - when adding the 8 and 2 in the hundreds column, for example, we get a 1 that is then carried over into the empty thousands column. It is the only entry there, so we drop it down to the answer box.
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| | <center> | | <center> |
| | [[Image:Picture8ol0.png]] | | [[Image:Picture8ol0.png]] |
| | </center> | | </center> |
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| | + | ==Footnotes== |
| | + | <references/> |
| | [[Category:Mathematics]] | | [[Category:Mathematics]] |