Question

Which statement is true about the sum of two rational numbers?

OIt can always be written as a fraction.
OIt can never be written as a fraction.
It can always be written as a repeating decimal.
OIt can never be written a terminating decimal.

Answer 1

(a) It can always be written as a fraction.

Explanation:

You want to know what can be said of the sum of rational numbers.

Rational numbers

The set of rational numbers is closed under addition. The sum of any pair of rational numbers is a rational number.

A rational number can always be written as a fraction.

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Additional comment

As a decimal, it will either be terminating or repeating. Any given rational number will be one or the other. Rationals in general will not always terminate, or always repeat.

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