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Since all counting numbers are rational numbers, arithmetic would never have started. There would have been no science nor technology.

Q: What would happen if rational numbers never existed?

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Fractions where both the numerator and divisor are rational numbers are always rational numbers.

Yes, irrational numbers are never rational numbers because irrational numbers can't be expressed, by definition, as a fraction of two integers.

The quotient of two nonzero integers is the definition of a rational number. There are nonzero numbers other than integers (imaginary, rational non-integers) that the quotient of would not be a rational number. If the two nonzero numbers are rational themselves, then the quotient will be rational. (For example, 4 divided by 2 is 2: all of those numbers are rational).

False.

yes

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They will always be rational numbers.

Fractions where both the numerator and divisor are rational numbers are always rational numbers.

Yes, irrational numbers are never rational numbers because irrational numbers can't be expressed, by definition, as a fraction of two integers.

No, they are two separate groups of numbers. A number is either rational or irrational, never both.

Nothing would happen. If pizza never existed, we would simply be eating something else.

Integers are whole numbers. Rational numbers can be fractions / decimals. But it is NEVER a whole number E.G. of rational numbers : 3/4 or 1.5

Always true. (Never forget that whole numbers are rational numbers too - use a denominator of 1 yielding an improper fraction of the form of all rational numbers namely a/b.)

Who knows what would happen?

Numbers are either irrational (like the square root of 2 or pi) or rational (can be stated as a fraction using whole numbers). Irrational numbers are never rational.

Integers are whole numbers. Rational numbers can be fractions / decimals. But it is NEVER a whole number E.G. of rational numbers : 3/4 or 1.5

sometimes true (when the rational numbers are the same)

Wrong because 3/4 and a 1/4 are rational numbers that add up to 1