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You Can’t Answer a Question If You Can’t Say the Answer

It takes time to get used to and become familiar with new words and expressions. It would be nice if people could be told something once and then be able to remember and use that information perfectly forever. But that doesn’t happen often.

Fraction names in English are somewhat irregular, at least initially because English, as it developed, absorbed words from more than one other language (usually Anglo-Saxon or Old English and Latin).

For example, half and third are derived from the Old English words “healf” and “pridda”. But quarter comes from the Latin “quartus”. Next comes the fifth, not the “fifth”, which comes from the Old English “fifta”. After that things calm down with the sixth seventh and so on. But you still have to learn the exceptions.

Another common difficulty is saying remainders and improper fractions. For example five divided by four is a remainder one or one and a quarter. It is very common for children to be confused at the two in a remainder one and in a one and a quarter. After all, these aren’t phrases they’ve probably used before. In contrast, by the time children learn to count in school, they are likely to have used the words one, two, and three multiple times. (How many ice creams do you want?). But one and a quarter is more of a tongue twister.

Another difficulty comes from converting kilograms into grams or kilometers into meters. This is often considered a math problem. But it’s largely a speech problem. There are two parts.

First, repeat exactly what is said, but replace kilo with thousand and thousand with kilo.
Thus, two kilograms become two thousand kilograms.
And three thousand grams becomes three kilograms.

It’s that simple!

Second, learn to say fractions of a thousand. So, 1/2 kilogram equals five hundred grams, which means that five hundred grams equals half a kilogram.

Children seem to be comfortable saying two thousand five hundred grams for 2 1/2 kg and three thousand five hundred grams for 3 1/2 kg.

But ten thousand five hundred grams for 10 1/2 kg
or one hundred thousand five hundred grams per 100 1/2kg
seem harder to say, until they become familiar.

For some reason, it seems like saying one thousand five hundred grams for 1 1/2 kg takes longer to get used to.

By the time they are comfortable with saying one hundred thousand five hundred grams for 101 1/2 kilograms, you can be sure they have mastered this particular type of problem.

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