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.

Step-by-step explanation:

Since we have given that

$(0.004)(3.42)$

We have to write as a fraction multiplication problem:

$\frac{4}{1000}\times \frac{342}{100}\\\\=\frac{1368}{100000}\\\\=0.01368$

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.