Question

Show (0.004)(3.42) as a fraction multiplication problem and explain why the answer is in the hundredths-thousandths (five decimal places).

Answer 1

4/1000 x 3 42/100 = 4/1000 x 3 420/1000 = 3 1680/1000 = 4 680/1000

Answer 2

Answer: There will be five decimal places in total.

Explanation:

Since we have given that

`(0.004)(3.42)`

We have to write as a fraction multiplication problem:

`(4)/(1000)* (342)/(100)\\\\=(1368)/(100000)\\\\=0.01368`

The answer is in the hundredths-thousandths i.e. five decimal places because first expression is in thousandths i.e. there are 3 decimal places and second expression is in hundredths i.e. there are 2 decimal places .

So, there will be five decimal places in total.