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Question: For about 10 years after the French Revolution, the French government attempted to base measures of time on multiples of ten: One week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. What are the ratios of (a) the French decimal week to the standard week and (b) the French decimal second to the standard second?

Short Answer

Expert verified

Answer

  1. Ratio of French decimal week to the standard week is 1.43.
  2. Ratio of French decimal second to standard second is 0.864.

Step by step solution

01

Given data

One week consisted of 10 days.

One day consisted of 10 hours.

One hour consisted of 100 minutes.

One minute consisted of 100 seconds.

02

Understanding the decimal time

Decimal time is nothing but the representation of the time of day using decimally related units which refers to the time system used in France.

03

(a) Determination of the ratio of French decimal week to the standard week

The ratio of the French decimal week to the standard week is calculated as:

frechdecimalweekstandardweek=107=1.43

Thus, the ratio of the French decimal week to the standard week is 1.43.

04

(b) Determination of the ratio of French decimal second to a standard second

The number of seconds in French decimal day is,

10×100×100=100,000seconds

So, the duration of 1 second in terms of the day is1100,000day

The number of seconds in a standard day is,

24×60×60=86,400seconds

So, the duration of 1 second in terms of the day is,186,400day

The ratio of the French decimal second to a standard second is calculated as:

Frechdecimalsecondsstandaredseconds=86,400100,000=0.864

Thus, the ratio of the French decimal second to the standard second is 0.864 .

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