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Q: Two whole numbers whose sum and difference are the same?

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Each integer is a whole number and each whole number is an integer. So the set of all integers is the same as the set of all whole numbers. By the equivalence of sets, integers and whole numbers are the same.

In the case of positive numbers, when the decimal parts are the same, e.g., 4.71 - 1.71.

They are not. Counting numbers are a proper subset of whole numbers. Negative integers (-1, -2, -3 etc) are whole numbers but they are not counting numbers.

you can use whole numbers

The set of integers is the same as the set of whole numbers.

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They are the same.

None, because the set of integers and the set of whole numbers is the same.

2 and 2

There is an infinite amount of numbers that this applies to. I will define difference for you. Difference is the amount you get when subtracting two numbers. Example 2000 - 1000 has a difference of 1000. same with 2001 and 1001 etc.

The process of finding them is the same. The difference is the function of the numbers. With an LCM, you're finding a multiple of whole numbers. With an LCD, you're finding a multiple of whole numbers that happen to be denominators.

they are the same because they both have whole numbers

No. Prime numbers are a subset of whole numbers.

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.

No, they are not.

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

No. Whole numbers cannot be irrational.

Each integer is a whole number and each whole number is an integer. So the set of all integers is the same as the set of all whole numbers. By the equivalence of sets, integers and whole numbers are the same.

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