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vichka [17]
2 years ago
8

What are the first 10 digits after the decimal point (technically the hexadecimal point...) when the fraction 1/7 is written in

base 16?
(Express your answer as a ten digit number. You do not need to include the subscript to indicate the base.)
Mathematics
1 answer:
11111nata11111 [884]2 years ago
7 0

The first 10 digits after the decimal point of the fraction 1/7 in base 16 are: 2499999999

<h3>What is the hexadecimal system?</h3>

The hexadecimal system is a mathematical and computer term that refers to the positional number system that has 16 as its base. Generally, this system is abbreviated with the letters hex.

<h3>How are fractions related to the hexadecimal system?</h3>

In the hexadecimal system, since the only prime factor of 16 is 2, all fractions that do not have a power of 2 in the denominator will have a repeating hexadecimal expansion. For example:

  • 1/7 = 0.249999...

According to the above, the first 10 digits of the fraction 1/7 expressed in hexadecimal system are:

  • 2499999999

Learn more about hexadecimal system in: brainly.com/question/10870127

#SPJ1

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