a.Equation 1
\(\displaystyle{0.3}\cdot{0.16}\)

Equation 2 \(\displaystyle\frac{{3}}{{10}}\cdot\frac{{16}}{{100}}\)

b.\(\displaystyle\frac{{3}}{{10}}\cdot\frac{{16}}{{100}}={3}\cdot\frac{{16}}{{{10}\cdot{100}}}=\frac{{48}}{{1000}}\)

c.Multiply normally, ignoring the decimal points.

\(\displaystyle{3}\cdot{16}={48}\)

Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.

In other words, just count up how many numbers are after the decimal point in both numbers you are multiplying, then the answer should have that many numbers after its decimal point.

0.3 has 1 decimal places, 0.16 has 2 decimal places, so the answer has 3 decimal places: 0.048

Equation 2 \(\displaystyle\frac{{3}}{{10}}\cdot\frac{{16}}{{100}}\)

b.\(\displaystyle\frac{{3}}{{10}}\cdot\frac{{16}}{{100}}={3}\cdot\frac{{16}}{{{10}\cdot{100}}}=\frac{{48}}{{1000}}\)

c.Multiply normally, ignoring the decimal points.

\(\displaystyle{3}\cdot{16}={48}\)

Then put the decimal point in the answer - it will have as many decimal places as the two original numbers combined.

In other words, just count up how many numbers are after the decimal point in both numbers you are multiplying, then the answer should have that many numbers after its decimal point.

0.3 has 1 decimal places, 0.16 has 2 decimal places, so the answer has 3 decimal places: 0.048