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Whole numbers are rational numbers with a denominator of 1.

The difference with general rational numbers is that the denominators are likely to be different and they must be made the same by converting the fractions into equivalent fractions with the same denominator before the addition can be done - by adding the numerators and keeping the denominator, and simplifying (if possible) the result.

With whole numbers the denominators are already the same (as 1) and so the addition can be done straight away.

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Q: How is adding rational numbers different than adding whole numbers?

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Whole numbers ARE rational.

The set of rational numbers is the union of the set of fractional numbers and the set of whole numbers.

The set of rational numbers includes all whole numbers, so SOME rational numbers will also be whole number. But not all rational numbers are whole numbers. So, as a rule, no, rational numbers are not whole numbers.

soem rational numbers are whole numbers

All whole numbers are rational so there are infinitely many rational numbers that are whole numbers.

Some rational numbers are whole numbers, some are not. The set of whole numbers is a proper subset of rational numbers.

Whole numbers are always rational

All rational numbers are not whole numbers, as rational numbers can include fractions.

Some rational numbers are whole numbers [3/1,10/5,0/2,etc.], but all whole numbers are rational numbers.

when you add mixed numbers you have a whole number but adding fraction does not.

Short answer - yes, fractions with whole numbers are rational. All whole numbers are rational. All fractions are rational. Rational numbers can be added to always make another rational number.

Whole numbers are the same as integers. Whole numbers are a proper subset of rational numbers.

Natural and whole numbers are, and integers are rational.

Rational numbers. Whole numbers are numbers such as 1, 10, 25, etc.

All whole numbers and fractions are rational numbers

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

All whole numbers are rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

No, whole numbers are only a small subset of rational numbers.

Yes, they are.

-3 is a real, rational, whole integer. But then, -- All integers are real rational whole numbers. -- All whole numbers are real rational integers. -- All rational numbers are real. -- All counting numbers are real, rational, whole integers.

All whole numbers are rational numbers because they can be expressed as a fraction of integers.

Some are, but all are not. 2/1 is rational and whole but 1/2 is rational and not whole. So the answer is a rational number is not necessarily a whole number.

No, 1/2 is rational, but not a whole number.

Whole numbers and integers are the same. They are a proper subset of rational numbers.

3. It is real, rational and whole. Rational numbers are numbers that can be written as a fraction.