Recurring Decimal/Examples

Examples of Recurring Decimals

Example: $0 \cdotp 333 \ldots$

The number $\dfrac 1 3$ can be expressed as a terminating decimal:

\(\ds \dfrac 1 3\)

\(=\)

\(\ds 0 \cdotp 333 \ldots\)

\(\ds \)

\(=\)

\(\ds 0 \cdotp \dot 3\)

using recurrence notation

This would be voiced:

nought point three recurring

or:

zero point three recurring

and so on.

Example: $0 \cdotp 714 \, 285 \, 714 \ldots$

The number $\dfrac 5 7$ can be expressed as a terminating decimal:

\(\ds \dfrac 5 7\)

\(=\)

\(\ds 0 \cdotp 714 \, 285 \, 714 \ldots\)

\(\ds \)

\(=\)

\(\ds 0 \cdotp \dot 714 \, 28 \dot 5\)

using recurrence notation