Question

What is 0.89 divided by 5.60?

Answer 1

`0.89 div 5.60 = 0.89/5.6 = 0.159" "` (to 3 decimal places.)

Explanation:

It is not comfortable to divide BY a decimal, so we multiply by powers of `10` to change what the question looks like.

`0.89 div 5.60 = 0.89/5.6`

`0.89/5.6 xx10/10 = 8.9/56" "rarr (10/10 = 1)`so the value stays the same.

Now you can divide as usual because the denominator is a whole number, not a decimal fraction.

`color(white)(........x.........)ul(0.1589)`
`color(white)(..............)56)8.9000`
`color(white)(....................)ul56`
`color(white)(....................)330`
`color(white)(....................)ul280`
`color(white)(.......................)500`
`color(white)(.......................)ul448`
`color(white)(..........................)520`
`color(white)(..........................)ul504`

The answer is a recurring decimal. From this answer we can round off to 3 decimal places to get `0.159`