Integers are the whole numbers you can count. Like -3, -2, -1, 0, 1, 2, 3.
Think of it as counting things without breaking them apart. Unless you have a broken chair, you probably have an integer of chairs in your home. Well, ok, maybe not a negative integer.
A rational number is a number that is a fraction/division of two integers. So 0.5 would be a rational number, that’s 1/2. One divided by two becomes 0.5
47.38281 and 575885.2 and 67.6767676767… are all also rational numbers because they can each be equated to the fraction of two integers.
Meanwhile, an irrational number is any number that can’t be written as a fraction of two integers.
The square root of 2, for example, is irrational. You can only approximate it by continous fractions. You’d have to do an infinite amount of fractions to describe the whole number.
Same with π, e and the golden ratio.
Their decimals go on forever.
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