Question

What is 0.12 divided by 8?

Answer 1

`0.015`

Explanation:

We can write the given expression in numbers, as `0.12/8`

Let's multiply and divide the fraction by 100.

`[0.12 color(red)(xx100)]/[8color(red)(xx100)] = 12/(8xx100)`

Now, we know that `12 = 3 xx 4` and `8 = 2 xx 4`

We have, `[3xx4]/[2xx4xx100]`

Here, 4 is a common factor.

`[3xxcancel(4)]/[2xxcancel(4)xx100]`

`=3/(2xx100)`

`=3/200`

Now, let's write this as a decimal number.

We need a multiple of 10 in the denominator.

`color(red)(200xx5 = 1000)`, which is a multiple of 10.

Next, multiply and divide the fraction by `5`.

`(3xx5)/(200xx5)= 15/1000`

Any number can be written as a decimal.
Here, `15` can be written as `15.0`

Three 0's in the denominator means 3 decimal points to the LEFT.

That gives us `color(red)(0.015)`, (add any extra 0's to the left of the number).