What is 0.12 divided by 8?

1 Answer
May 12, 2016

Answer:

#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).