Definition and range of integers
Integer is a kind of number, including positive integer, negative integer and zero. Integer range covers all integers from negative infinity to positive infinity. Integer is an important part of numbers and is the most commonly used number in people's lives. Integer is divided into three parts, namely, positive integer, zero and negative integer.
Positive integer range
A positive integer is an integer greater than zero, and its range starts from 1 and increases in turn. Positive integers have no upper limit and can be infinite. The range of negative integers is an integer less than zero, starting from-1 and decreasing in turn. Negative integers have no lower limit and can be infinitely small.
Range of zero
Zero is a special integer that is neither positive nor negative. It means there is no concept of quantity or nonexistence. Zero is in the middle of the integer range and can be regarded as the dividing point between positive and negative integers.
Positive, negative and absolute values of integers
Positive and negative integers are represented by symbols, positive integers have a "+"sign, negative integers have a "-"sign, and zero has no sign. Corresponding to this is the absolute value of an integer, which represents the distance of a number from zero, that is, the value after removing the symbol.
Infinity of integers
Integers range from negative infinity to positive infinity, which means that integers can take any big or small value. The infinity of integers makes them widely used in mathematics and practical problems.
Characteristics of integer operation
The operations between integers include addition, subtraction, multiplication and division. Integer operation is closed and interchangeable, but the divisor in division operation should not be zero.
Summary:
Integer is a set of positive integer, negative integer and zero, ranging from negative infinity to positive infinity. Positive integers represent quantity, negative integers represent liabilities or losses, and zero represents non-existence or non-quantity concept. Understanding the range and nature of integers will help us to use integers correctly in mathematics and daily life, and make corresponding calculations and analysis.