Definition:Decimal Fraction

Definition

A decimal fraction is a number between $0$ and $1$ expressed in decimal notation.

Examples

Example: $0 \cdotp 537$

The number $0 \cdotp 537$ is a decimal fraction intepreted as:

\(\ds 0 \cdotp 537\)

\(=\)

\(\ds 0 + \dfrac 5 {10} + \dfrac 3 {100} + \dfrac 7 {1000}\)

\(\ds \)

\(=\)

\(\ds 0 + \paren {5 \times 10^{-1} } + \paren {3 \times 10^{-2} } + \paren {7 \times 10^{-3} }\)

Also see

• Results about decimal fractions can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): decimal
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): decimal fraction
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): decimal
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): decimal fraction