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Q: How are the integers and rational numbers are different?

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All integers are rational numbers, not all rational numbers are integers.

All integers are rational numbers, not all rational numbers are integers. Rational numbers can be expressed as fractions, p/q, where q is not equal to zero. For integers the denominator is 1. 5 is an integer, 2/3 is a fraction, both are rational.

Not all rational numbers are integers, but all integers are rational.

Since all integers are rational numbers (but not all rational numbers are integers), the certainly some of the rational numbers are integers. For example, 1, 2, and 3 are rational numbers. They are also integers.

All integers are rational numbers.

No, not always, although integers are rational numbers.

All integers are rational numbers.

Rational numbers are integers and fractions

No, integers are a subset of rational numbers.

A.(Integers) (Rational numbers)B.(Rational numbers) (Integers)C.(Integers) (Rational numbers)D.(Rational numbers) (Real numbers)

Fractions are not integers. They may or may not be rational numbers.

Integers are aproper subset of rational numbers.

They can be integers, rational numbers or even approximations for irrational numbers.

because not all rational numbers are integers, recurring numbers, numbers to 1 decimal place and fractions are rational as well but all integers are rational

Natural and whole numbers are, and integers are rational.

No, not all rational numbers are integers. All integers are whole numbers, but a non-whole number can be rational if the numbers after the decimal point either 1. end or 2. repeat. So, sometimes rational numbers are integers, sometimes they're not. But all integers are rational numbers.

Integers are a subset of the set of all rational numbers. By definition, a rational number can be exactly expressed as the ratio of two integers. Only if the ratio can be simplified so that the denominator is 1 is a rational number an integer.

Any 2 digit integers are rational numbers because all integers or whole numbers are rational numbers.

Rational numbers are numbers that can be expressed as the quotient of two integers (3/2, 15/16). All integers, then, are rational numbers (12 = 12/1).

All integers are rational numbers. There are integers with an i behind them that are imaginary numbers. They are not real numbers but they are rational. The square root of 2 is irrational. It is real but irrational.

All integers are rational numbers. There are integers with an i behind them that are imaginary numbers. They are not real numbers but they are rational. The square root of 2 is irrational. It is real but irrational.

Yes - the set of integers is a subset of the set of rational numbers.

Yes, because all integers are rational numbers

It is the rational numbers.

They are rational fractions.