## Multiplying and dividing decimals

We can multiply decimal numbers just as if they were whole numbers (ignore the decimal point and divide it with 10, 100 or 1000 based on the number of decimal places). Afterwards we put the decimal point into its proper location in the result - it will move as many decimal places as the original numbers combined, e.g.:

$$4×0.4={4×4}/10=16/10=1.6$$

$$0.08×0.2={8×2}/1000=16/1000=0.016$$

You can also convert decimals to fractions, e.g.:

$$0.5×0.6=5/10×6/10=30/100=3/10=0.3$$

$$0.7÷0.25={7/10}÷{25/100}=$$

$$={7/10}÷{1/4}=7/10×4=28/10=2.8$$