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Hi,
This is a fascinating, and I think very hard question. I tried to give an answer once before with the statement:
Research by psychologists has shown that babies, as young as three or four days old, can tell the difference between collections of two and three items. By four and a half months of age they can tell that one plus one is two. Some animals also can estimate small integers and do simple arithmetic. So what is the origin of integers? It seems that, at least the first three positive integers, are with us at birth.
This ability to "see" one, two or three objects seems to be innate in almost all of us. We can look at a collection of one, two or three objects and immediately know how many there are. If you show me twelve objects then I have to use some method of counting to determine that there are twelve and not eleven or thirteen. This ability to immediately know that there are one, two or three objects is called subitizing. Some people claim to be able to subitize up to six or seven objects, but three seems to be innate in almost everyone.
So, what is the origin of the rest of the positive integers? They probably come from the desire to abstract the idea of two collections of objects having the same size. By abstract I mean some concept that is common to all collections of the same size, not just a particular collection of that size.
Let me give you an example. On the first day of classes in the school year the grade three students show up in the auditorium. The teacher wants to know if there are enough desks in her classroom for all the students. She could take the students to the classroom and have them all sit down. If they do, and there are desks left over, then there are more desks than students. If they try to sit down and the desks are full but some students are left standing, then there are more students than desks. A more practical method would be to use integers. She could count the number of desks (she got 28) and count the number of students (she got 30) so she then knows that there are more students than desks (30 is larger than 28).
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∙ 12y ago
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What is the point of origin of the set of integers on a number line?
line straight like straight line vertical horizontal curve
Are the fractions 2436 and 1624 equivalent or not?
2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.
9 squared belongs to what family of real numbers?
At least the following families: all integers; all positive integers; all odd integers; and all "square integers", that is, integers that are squares of other integers.
What are the three categories of integers?
The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.
What is the addition of integers?
the addition of integers is when adding negative and positive integers
Where is the origin of integers?
okay
What does origin mean when using integers?
It is the position of the number zero.
What is the point of origin of the set of integers on a number line?
line straight like straight line vertical horizontal curve
When the negative integers the positive integers and 0 are combined the integers are formed?
Negative integers, zero and the positive integers, together form the set of integers.
Are the fractions 2436 and 1624 equivalent or not?
2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.2436 and 1624 are integers, not fractions. And, as integers, they are unequal.
What are non positive integers?
Non-positive integers are zero and the negative integers.
Which set represent the integers?
The set of integers represents the integers.
9 squared belongs to what family of real numbers?
At least the following families: all integers; all positive integers; all odd integers; and all "square integers", that is, integers that are squares of other integers.
What are the three categories of integers?
The set of integers is divided into three subsets. One is the positive integers. Another is the negative integers. The last subset has one element -- zero. In sum, integers are composed of the positive integers, the negative integers, and zero.
How many integers are there in the numerals?
All the numerals are integers (positive integers)
What are the boundary points of the integers?
The boundary points of the integers is simply the integers.
What is the addition of integers?
the addition of integers is when adding negative and positive integers
