Question

What is the product of 12.0987*2345?

Answer 1

`12.0987*0.2345=2.83714515`

Explanation:

Assuming you don't have a calculator to hand...

There are no particular shortcuts that I can think of to calculate `12.0987*0.2345` by hand, so let's use long multiplication:

First note that `12*0.25 = 3`, so the result we're looking for is approximately `3`.

To avoid messiness with decimal points, let's multiply integers:

`120987 * 2345`

It will be useful to have a table of multiples of `120987` up to `5 xx 120987`:

`1color(white)(000)120987`
`2color(white)(000)241974`
`3color(white)(000)362961`
`4color(white)(000)483948`
`5color(white)(000)604935`

Then we just need to add up:

`color(white)(0)241974color(white)(00000)(2 xx 120987 xx 1000)`
`color(white)(00)362961color(white)(0000)(3 xx 120987 xx 100)`
`color(white)(000)483948color(white)(000)(4 xx 120987 xx 10)`
`underline(color(white)(0000)604935)color(white)(00)(5 xx 120987 xx 1)`
`color(white)(0)283714515`

Put the decimal point back in to get:

`2.83714515`