Operations on Rational and Irrational Numbers Answers

Without calculating the sum, determine whether each answer will be rational or irrational.

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When you add two rational numbers, each number can be written as a .

The sum of two fractions can always be written as a .

Therefore, the sum of two rational numbers will always be .

Without finding the product, determine whether each product will be rational or irrational.

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Explain why the following problem will have an irrational answer.

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All of the numbers in these multiplication problems are rational, which means that each of these numbers can be written as a

Explain why the following problem will have an irrational answer.

Since the answers to these problems can be written as fractions, the answers are

This shows that the product of two rational numbers will always be