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Question

All integers are rational numbers and I know that. But why and how are integers rational numbers?

All integers are rational numbers. Justify the sentence.

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Solution

Integers include all whole numbers and their negative counterpart e.g. …-4, -3, -2, -1, 0,1, 2, 3, 4,…
All integers belong to the rational numbers. A rational number is a number
ab,b≠0
ab,b≠0
Where a and b are both integers.

For more information, read on

The number 1/2 is a rational number because it is written as the integer 1 divided by the integer 2. The number 5 is a rational number because we can write it as 5/1. We can also write it as 15/3 or 50/10 because 15 divided by 3 or 50 divided by 10 both equal 5. The mixed number 1 ½ is also a rational number because we can write it as 3/2.
Any number that can be rewritten as a simple fraction is a rational number. This means that natural numbers, whole numbers and integers, like 5, are all part of the set of rational numbers as well because they can be written as fractions, as are mixed numbers like 1 ½.

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