Question

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.)

Answer 1

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

What is the hexadecimal system?

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.

How are fractions related to the hexadecimal system?

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

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