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Why are rational numbers closed in subtraction?

Anonymous

∙ 13y ago

Updated: 11/5/2022

Because when one rational number is subtracted from another rational number the result is a rational number.

Don't forget that integers (ℤ) are a subset of rational numbers (ℚ).

Wiki User

∙ 13y ago

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Q: Why are rational numbers closed in subtraction?

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Continue Learning about Math & Arithmetic

Are rational numbers closed under division multiplication addition or subtraction?

Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.

Is it true that The difference of two rational numbers always a rational number?

Yes. The rational numbers are a closed set with respect to subtraction.

Is there commutative property of subtraction for rational numbers?

No, there is not.

How is subtraction rational numbers different from adding?

Subtraction is not commutative nor associative.

Are the prime numbers closed for subtraction?

No.

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