One of the big problems that many children face is that they think of all numbers as being unique. This was characterised, in the case of my eldest daughter, by her being able to add 3 and 3 to get 6 with ease, but she couldn’t add 300 to 300 because they were “big numbers”. Children like her do not understand the number system, usually because it has never been explained to them. They do not realise that instead of there being an infinity of numbers, there are really only 10 numbers (0 to 9) and therefore, they will never have to add numbers which have a sum greater than 18.
Because you cannot add different things together, you have to add tens separately from units, and hundreds separately from tens, and so on. This means that all the numbers that you have to deal with are small ones
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