Multiply the following decimal fractions and then verify your answers using a calculator: a) 0.3 x 2, b) 0.03 x 2, c) 0.003 x 2, d) 0.123 x 5, e) 1.503 x 3, f) 76.005 x 10

$$0.3 \times 2 = 0.6$$

The answer is $\boxed{0.6}$.

$$0.03 \times 2 = 0.06$$

The answer is $\boxed{0.06}$.

$$0.003 \times 2 = 0.006$$

The answer is $\boxed{0.006}$.

$$0.123 \times 5 = 0.615$$

The answer is $\boxed{0.615}$.

$$1.503 \times 3 = 4.509$$

The answer is $\boxed{4.509}$.

Multiplying by 10 shifts the decimal point one place to the right.

$$76.005 \times 10 = 760.05$$

The answer is $\boxed{760.05}$.