Question

What is the decimal of 1/2?

Answer 1

`1/2=0.5`

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Why is that?

The structure of a decimal is:

Decimal point
`" "darr`
`"units" + 10^("ths") + 100^("ths")+1000^("ths")` + ..and so on

So lets see if we can convert `1/2` as one of these.

Multiply by 1 and you do not change the actual value. However, 1 coms in many forms.

`1/2 ->color(green)( [1/2color(red)(xx1)] " "=" "[1/2color(red)(xx5/5)] " "=" "(1xx5)/(2xx5)" "=" "5/10 )`

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So we have:

`"units" + 10^("ths") + 100^("ths")+1000^("ths")` + ..and so on
`" "darr" "darr`
`" "color(white)(.)0 + 5/10`

This is written as `0.5`

So `1/2=0.5`