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Chapter 7: Q51E (page 375)

For Exercises 51 through 55, state whether the given set is a field (with the customary addition and multiplication).

51. The rational numbers Q

Short Answer

Expert verified

Yes, Q is a field

Step by step solution

01

Define rational number

Rational number, in arithmetic, a number that can be represented as the quotient p/q of two integers such that q 鈮� 0.

02

Verify rational number are field

Yes

The set Q is a field under customary addition and multiplication.

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