Even numbers are integers divisible by 2. Even numbers are also called even numbers. If a number is a multiple of 2, it is even and can be expressed as 2n; Otherwise, it is an odd number, which can be expressed as 2n+ 1(n is an integer), that is, the remainder of odd number divided by two is 1.

In decimal system, you can judge whether the number is odd or even by looking at the single digits: 1, 3, 5, 7 and 9 are odd; Numbers with digits 0, 2, 4, 6 and 8 are even numbers.

0 is neither positive nor negative, but the dividing point between positive and negative numbers. 0 is an integer between-1 and 1, which is the smallest natural number and also a rational number. 0 cannot appear as a denominator, all multiples of 0 are 0, and 0 cannot be used as a divisor. 0 is even, not odd.

0 has no reciprocal, the reciprocal of 0 is 0, the absolute value of 0 is 0, the square root of 0 is 0, the cube root of 0 is 0, 0 times any number equals 0, and the power of 0 of any number except 0 equals 1.

The difference between odd and even numbers:

1, is there a remainder when the value is divided by 2?

Odd number: divided by two, the remainder is 1.

Even number: Divided by two, the remainder is 0.

2. The expression is different.

Odd number: 2n+ 1(n is an integer).

Even number: 2n(n is an integer).

Extended data:

Regarding even and odd numbers, there are the following properties:

1, two consecutive integers must be odd and even.

2. The sum or difference between odd numbers and odd numbers is even; The sum or difference between even and odd numbers is odd; The sum of any number of even numbers is even; The sum of odd numbers is odd; The sum of even and odd numbers is even.

3. The sum or difference between two odd numbers (even numbers) is even; The sum or difference between even and odd numbers must be odd numbers.

4. The greatest common divisor of adjacent even numbers is 2, and the least common multiple is half of their product.

5. The product of odd number and odd number is odd number; The product of even number and even number is even number; The product of odd number and even number is even number.

6. Even numbers must be 0, 2, 4, 6, 8; Odd numbers must be 1, 3, 5, 7, 9.

7. Any odd number is not equal to any even number; The continuous product of several integers, if one of them is even, then the product must be even.

Baidu encyclopedia-even number

Baidu encyclopedia-odd number

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