Question

What is the product of `44, 098 * 25.7%`?

Answer 1

`color(green)(11,333.186)`

Explanation:

Nothing fancy here:

Using a calculator: `44098 xx .257 = 11333.186`

Answer 2

Suppose you had to calculate this without a calculator.

`11333.186`

Explanation:

I trick to avoid using the decimal point in the early stages of the calculation

Consider `25.7" as "257xx1/10`

But this is 25.7% so we really have `25.7/100 = 257xx1/100xx1/10`

So now we have: `44098xx257xx1/1000`

For this part ignore the `1/1000`

Splitting 257 into 200+50+7

`200xx44098 -> 8819600`
`color(white)(2)50xx44098 ->2204900" "larr" same as "(100xx44098)/2`
`color(white)(20)7xx44098->ul(color(white)(0)308686)" " larr" add"`
`" "11333186`

Now we use the `1/1000`

`11333186xx1/1000 = 11333.186`