The definition of a rational number is the quotient of any two nonzero integers.

Yes. Rational numbers are always the quotient of two integers. Integers are always real, and you cannot divide a real number by another real number and get an imaginary number. So, true.

That's a true statement. Another true statement is: All integers are rational numbers.

Yes, that's true.

True. In general, the product is not an integer.

Yes, since it can be written as a ratio of two integers: 19/5

Because any fraction is a rational number and as for example 5 as a fraction is 5/1

It will be rational.

No, it is always true

No, it is always true.

Not necessarily true. All integers are rational numbers, though, because an integer x can be expressed as a ratio of two integers (e.g. x/1).

The product of 2 rationals must be rational. The product of a rational and an irrational is irrational (unless the rational is 0) The product of two irrationals can be either rational or irrational.

This statement is true when the two integers are positive, or when the two integers are negative.

A rational number is sometimes a natural number. For example, 7 would be a rational number and a natural number. But 7.25 is a rational number and not a natural number. A natural is the number 1 and any other number obtained by adding 1 to it repeatedly; either an element of the set {, , , ...} (the positive integers) or an element of the set {, 1, 2, 3, ...} (the non-negative integers); any positive integer,; and any of the counting numbers (1, 2, 3, 4â€¦). so overall, we know that a rational number is sometimes a natural because some rational numbers follow the definition and some don't.True

Any and every rational number.

In any case, being the product of two rational numbers, it will also be rational. It can either be another mixed number, or it may happen to be an integer.

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