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The sexagesimal system was created by theMesopotamians, 4000 years ago. They were the first to divide the circle in 360 degrees.

The French with Napoleon, in the XIX century, introduced the decimal system. They tried to apply it to angles, making the right angle measure 100º instead of the regular 90º. But mathematicians said no to that idea.

If you understand a bit of trigonometry, you will know why...

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Q: Why were sexagesimal systems used instead of decimal systems?
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What is used to separate the ones place from the tenths place?

The decimal point. However, in many European countries, a "decimal comma" is used instead.


How are real numbers expressed in binary?

The same as real numbers are expressed in decimal, except only the digits 0 and 1 are used (instead of 0 to 9) and the separator between the integer and fraction part is called the binary point (instead of the decimal point). The sign if needed is the same as in decimal.


In euros is the comma a decimal point?

In most of Europe the , acts as the decimal point. For example €6,99 is 6 euros and 99 cents. In other countries, like Ireland, the full stop is used: €6.99 instead.


What is the difference between 7 hr 5 min and 6.65 hrs?

1 hr = 60 min → 6.65 hrs = 6 hr + 0.65 x 60 min = 6 hr 39 min → difference between 7 hr 5 min (7:05) and 6 hr 39 min (6:39) is: 7:05 - 6:39 = 0:26 = 26 minutes. I am aware that some people, incorrectly, use the decimal point to separate the hours and minutes of a time. Time uses sexagesimal (base 60) numbers where each digit can represent the equivalent of the decimal numbers 0-59. Unlike hexadecimal (base 16) numbers, where each digit only has to represent the decimal numbers 0-15 so that the "extra" 6 decimal numbers 10-15 are represented using the letters A-F (or a-f) giving each digit a single character, sexagesimal digits have an additional 50 digits. As a result, sexagesimal digits are written using decimal numbers and each digit is separated by a colon. For example 1:55:8 in sexagesimal represents the number 1 x 60^2 + 55 x 60 + 8 = 6908 in decimal. Sexagesimal is (now in the West) only used for time (in hours/minutes/seconds) and measuring angles (in degrees/minutes/seconds - though the separators in this case are unit marks after the digits: degreeso minutes' seconds'', eg 50o 25' 20'' though this can be written as a decimal by adding the fractions together 50 + 25/60 + 20/3600 degrees = 5019/45o ≈ 50.422o). When dealing with time the colons can also be replaced by unit marks after the digits: H hours M minutes S seconds (or some abbreviation of the units), with any zero digit being dropped with its unit mark, eg 4:0:25 is 4 hours 0 minutes 25 seconds which can be written 4 hours 25 seconds. However, as we're not really used to sexagesimal numbers, and see each digit as a decimal number, there can be a tendency to for the last digit to include a decimal (fractional) part (of 60). Thus 6.65 represents 6 and (.65 x 60) = 639/60 = 6:39 which depending upon the unit of the whole number could be 6.65 hr = 6 hr 39 min, 6.65 min = 6 min 39 sec, 6.65 sec = 6.65 or 639/60 sec (as we don't use a unit for any smaller time). It is this "misuse" of sexagesimal digits that can cause the confusion if the decimal point (.) is used to separate sexagesimal numbers; thus the colon (:) should always be used. Another inconsistency with proper sexagesimal numbers is that we also allow the first digit to exceed 59, eg 70 secs = 1 min 10 secs (or 1:10 min), 75 min = 1 hr 15 min (or 1:15 hr) (but this is often used to make calculating with time (slightly) easier, just like mixed numbers are converted to improper fractions to make calculation easier; converting a time of hours and minutes to minutes, calculating with that and converting the result back to hours minutes [seconds] can be easier). If other digits exceed 59, they should be corrected by subtracting multiples of 60 until they in the range 0-59 and the number of multiples added to the preceding digit (with the same correction if necessary), eg: 6:65 hr = 6 hr 65 min = 6 hr 60 + 5 min = 6 + 1 hr 5 min = 7 hr 5 min = 7:5 (or 7:05) hr 6:59:121 hr = 6 hr 59 min 123 sec = 6 hr 59 min 2 x 60 + 3 sec = 6 hr 59 + 2 min 3 sec = 6 hr 61 min 3 sec = 6 hr 1 x 60 + 1 min 3 sec = 6 + 1 hr 1 min 3 sec = 7 hr 1 min 3 sec = 7:1:3 (or 7:01:03) hr


Why is a decimal point called a decimal point?

Because it is a point that is used in the decimal system of counting. Decimal means based on ten.

Related questions

How convenient was Babylonian number system?

They the Sexagesimal number system. It means that it has a numeral system with sixty as its base. We used the decimal system with ten as its base. The system was convenient back then but I would not change our decimal system for the sexagesimal.


What mathematics used in hanging garden?

The Babylonians used a sexagesimal system. We use a decimal system. That means ours has 10 digits from 0 to 9 and the Babylonians had 60 digits in their sexagesimal system.


Ancient civilization which used number system based on base 60?

Sexagesimal as used in ancient Mesopotamia was not a pure base 60 system, in the sense that it didn't use 60 distinct symbols for its digits. Instead, the cuneiform digits used ten as a sub-base in the fashion of a sign-value notation: a sexagesimal digit was composed of a group of narrow wedge-shaped marks representing units up to nine.


What is used to separate the ones place from the tenths place?

The decimal point. However, in many European countries, a "decimal comma" is used instead.


Which number is special to the babylonians?

The number system they used back them is the sexagesimal system. Our system has 10 digits from 0 to 9. So they used a system with 60 digits. That's why it is called a sexagesimal system. So make that a 60 for the Babylonian number.


What symbol used to separate the ones place from the tenths place in decimal numbers?

It is the decimal point, although in some parts of the world a comma is used instead.


What system was used before the Dewey Decimal system?

Before the Dewey Decimal system, libraries used classification systems such as the fixed location system, the Cutter Expansive Classification, and the Brown Classification system. These systems were used to organize library materials based on specific categories and sequences.


When was the 60 system invented?

The base-sixty (sexagesimal) system was first used by the Sumerians sometime around 2000 BCE.


Why might ancient measuring systems have used base 60 instead of base 10?

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How are real numbers expressed in binary?

The same as real numbers are expressed in decimal, except only the digits 0 and 1 are used (instead of 0 to 9) and the separator between the integer and fraction part is called the binary point (instead of the decimal point). The sign if needed is the same as in decimal.


Did the bablyonians use base twelve?

The Babylonians did not use a base twelve numeral system, they used a sexagesimal, or base sixty, system.


What were the accomplishments of ancient mesopotamia?

The wheelGlassLiteratureLawsA practical way of agricultureThe sexagesimal system which was used for the calculation of time and anglesand many more..