Question

Яке із стверждень невірно: а) будь-яке ціле число-натуральне; б) будь-якс натуральне число-додатне; в) будь-яке ціле число - г) 0 -недодатне число. раціональне;

Answer 1

Ответ:

а неверно..............

Answer 2

Incorrect Statement Identification

The statement that is incorrect is: "0 is a non-positive rational number."

Explanation

- Any integer is a natural number: A natural number is a positive integer, and since all integers can be positive, negative, or zero, any integer is a natural number. Therefore, statement "a) any integer is a natural number" is correct [[1]].

- Any natural number is positive: A natural number is defined as a positive integer, so by definition, any natural number is positive. Therefore, statement "b) any natural number is positive" is correct [[2]].

- Any integer is rational: A rational number is any number that can be expressed as the quotient or fraction p/q of two integers, where q is not equal to 0. Since any integer can be expressed as a fraction (e.g., 5 = 5/1), any integer is rational. Therefore, statement "c) any integer is rational" is correct [[3]].

- 0 is a non-positive rational number: This statement is incorrect. 0 is neither positive nor negative, and it is a rational number, but it is not considered non-positive. It is non-negative and also non-positive, but it is not considered non-positive in the context of rational numbers. Therefore, statement "d) 0 is a non-positive rational number" is incorrect.

Conclusion

In conclusion, the statement "d) 0 is a non-positive rational number" is incorrect, while the other statements are correct based on the definitions of natural, positive, integer, and rational numbers.