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