Which has a longer duration: a decimal second, or a standard second ?
The clock in the above figure shows decimal time . In decimal time, the entire day is divided into 10 decimal hours; each decimal hour is divided into 100 decimal minutes; and each decimal minute is further divided into 100 decimal seconds.
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There are 1 0 × 1 0 0 × 1 0 0 = 1 0 0 0 0 0 decimal seconds in a day.
There are 2 4 × 6 0 × 6 0 = 8 6 4 0 0 standard seconds in a day.
This means that 1 0 0 0 0 0 decimal seconds = 8 6 4 0 0 standard seconds.
⟹ 1 decimal second = 0 . 8 6 4 standard second.
We see that a decimal second is shorter than a standard second. □