Transformation of decimal numbers to decimal fractions

Note the following decimal numbers:

  • 0.8 (reads "eight tenths"), ie .

  • 0.65 (reads "sixty five hundredths"), ie .

  • 5.36 (reads "five hundred and thirty six hundredths"), ie .

  • 0.047 (reads "forty seven thousandths"), ie

Then check that:

Like this:

A decimal number is equal to the fraction obtained by writing to numerator the number without comma and giving denominator the unit followed by as many zeros as the decimal places.

Transformation of decimal fraction to decimal number

Note the following equality between decimal fractions and decimal numbers:

We can then conclude that:

To convert a decimal fraction to a decimal number, simply give the numerator as many decimal places as the denominator zeros.
Next: Equivalent Decimals, Decimal Comparison