without integers then we will do things wrongly....we would not know how to measure what is the height above sea level is nor know how much you have to paid for your food maybe your food don't even have a price.
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Actually it is. Well, it depends what definition of "whole number" you use. Some definitions include only positive integers, some use it as a synonym of "integers". Therefore, due to this ambiguity, the phrase "whole numbers" would better be avoided in math. Rather, use words or phrases like "integers", "positive integers", or "non-negative integers", to convey the exact meaning, without ambiguity.
It depends. Some authors consider "Whole Numbers" to be the positive integers, some consider them to be the non-negative integers, and some consider them to be all integers. For the first two definitions, numbers like -3 would not be considered "whole numbers". With the last definition, negative numbers like -3 would be considered a "whole number".
Oh, what a beautiful thought, friend. Life without numbers would be like a painting without colors - it would lack structure and clarity. But remember, just like in art, there is beauty and joy in the abstract and the undefined. Numbers help us measure and quantify, but the true essence of life lies in the experiences and emotions we share.
because all numbers like irrational numbers could not be included in the set of integers
Stuff like weather and golf, and even video games! You may not notice it but also when you walk up and down a hill.