Is the ratio of odd or even equal in all integers hope to give a reason or a source

Updated on tourism 2024-06-11
12 answers
  1. Anonymous users2024-02-11

    Equal in elementary school; Junior high school and above, not equal.

    Reason: From the definition of odd and even numbers, it can be known that the range of odd and even numbers has changed during the transition from elementary to junior high school.

    In elementary school, odd and even numbers are limited to natural numbers, starting from 0, 0 is an even number, 1 is an odd number, we can see an adjacent even number and an odd number as a group, such as: 0 and 1 are a group, 2 and 3 are a group, so until infinity, you can see that as long as there is an even number, there will be an odd number corresponding to it, so in elementary school, the number of odd numbers and the number of even numbers are equal. The proportions are also equal.

    In junior high school and above, the range of odd and even numbers is enlarged to whole numbers. At this time, we still see two adjacent numbers as a group, but the grouping is slightly different, 1 and 2 are regarded as a group, -1 and -2 are regarded as a group, 3 and 4 are regarded as a group, -3 and -4 are regarded as a group, and all the way to positive infinity and negative infinity, but at this time there is a special number - 0, and there is no odd number paired with it as a group, so in the range of integer numbers, the number of even numbers is 1 more than the number of odd numbers (this number is 0).

    Complete. Absolutely original!

    Reference**.

  2. Anonymous users2024-02-10

    Yes, any odd number 2 will give you an even number.

  3. Anonymous users2024-02-09

    Right. A number that is a multiple of 2 is an even number, and a number that is not a multiple of 2 is an odd number, so in all integers, it is either odd or even. According to the characteristics of odd and even numbers, it can be obtained: in all integers, it is either odd or even.

    The whole of an integer makes up an integer set, and an integer set is a ring of numbers. In the integer system, zeros and positive integers are collectively referred to as natural numbers. -1、-2、-3、…、n、…(n is a non-zero natural number) is a negative integer.

    then positive integers, zeros, and negative integers form an integer system. Integers do not include decimals and fractions.

  4. Anonymous users2024-02-08

    In defense 1 15, the sum of all even numbers: 0 + 2 + 4 + 6 + 8 + 10 + 12 + 14 = 56, and in 1 15, the sum of all odd numbers is disturbed: 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 = 64, 56:64, with a bang.

    56 8) :(64 8), 7:8, so the answer is: 7:8

  5. Anonymous users2024-02-07

    Singular (odd

    Even-numbered stool transport (even

    All integers are either odd (singular) or even (even).

    If a certain number is a multiple of Zaoliang 2, it is an even number (even number), which can be expressed as 2n; If not, it is an odd number (singular), which can be expressed as 2n+1 (n is an integer), i.e. the remainder of the odd number (singular) divided by two is one.

  6. Anonymous users2024-02-06

    The correct answer is: there are as many integers as there are even numbers.

    Don't believe me, you can verify it yourself:

    For every integer you can think of, you can find an even number that corresponds to it, just multiply that integer by 2. For example, 1 can find 2, 2 can find 4, 3 can find 6 ,......101 can find 202 ,......That is to say, even numbers are never less than integers.

    In addition, for each even number, you can also find the whole number corresponding to it, just divide the even number by 2. For example, 100 for 50, 50 for 25, 6 for 3, 4 for 2....... This shows that integers are no less than even numbers.

    There is only one conclusion: there are as many integers as there are even numbers. And, you can attest, there are just as many integers as there are odd numbers.

    This is the secret of the fact that the owner of the Galaxy Hotel can arrange for an infinite number of guests to stay even when the infinite number of rooms are already full. He first turned the whole number into an even number, vacated the odd number, and then arranged the guests of the whole number to be included.

  7. Anonymous users2024-02-05

    Right. Here's why:

    According to the definition of odd and even numbers, it can be seen that:

    All integers are either odd or even.

    Therefore, it is correct to say that all integers are either odd or even.

    In integers, numbers that are not divisible by 2 are called odd numbers, and numbers that are divisible by 2 are called even numbers. All integers are either odd or even. Generally, even numbers are represented by 2k, and odd numbers are represented by 2k+1.

    0 is a special even number. It is both the dividing line between positive and even numbers and the watershed between positive and negative odd numbers.

  8. Anonymous users2024-02-04

    That's right, the integer that is divisible by 2 is an even number, and the one that is not divisible by 2 is an odd number.

    And whether it is divisible by 2 divides the integer into two categories, and there is no number that does not belong to these two categories. So there is no such thing as a number that is neither even nor odd.

    So this statement is true.

  9. Anonymous users2024-02-03

    That's right, because a number that is not divisible by 2 in an integer is called an odd number; A number that can be divided by 2 is called an even number. So, integers are not odd numbers, they are definitely even.

  10. Anonymous users2024-02-02

    Zero is an integer, but not an odd or even number.

  11. Anonymous users2024-02-01

    0 is an integer, but not odd and even.

  12. Anonymous users2024-01-31

    In all integers, they are either odd or even. That's right. Numbers that are divisible by 2 are even, and numbers that are not divisible by 2 are odd.

    In all integers, there are only two cases in which a number is divisible by 2: either it is divisible by 2 or it is not divisible by 2, so in all integers, it is either odd or even.

    An integer is a collection of positive integers, limb fissure zeros, and negative integers. The whole of an integer makes up an integer set, and an integer set is a ring of numbers. In the integer system, zeros and positive integers are collectively referred to as natural numbers.

    1、-2、-3、…、n、…(n is a non-zero natural number) is a negative integer. then positive integers, zeros, and negative integers form an integer system. Integers do not include decimals and fractions.

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