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What kind of number A is true or false?
If the absolute value of a is equal to negative a, then a is not positive.

Analysis: non-positive numbers are zero and negative numbers, which refer to real numbers less than or equal to zero (positive numbers >; 0)。

Any non-positive number multiplied by-1 will get a non-negative number. Non-positive number is less than or equal to 0. Non-positive numbers have rational numbers and irrational numbers. The sum of non-positive numbers is still non-positive.

If the sum of non-positive numbers is zero, then each of them must be equal to zero. If the product of non-positive numbers is zero, at least one number is zero. The absolute value of a non-positive number is equal to its reciprocal. 0 is a non-positive number.

Extended data:

Absolute correlation:

In mathematics, absolute value or modulus |? x? | is non-negative, regardless of its sign, that is |x | = x means positive x, | x | = -x means negative x (in this case -x is positive), and | 0 | = 0. For example, the absolute value of 3 is 3, and the absolute value of -3 is also 3. The absolute value of a number can be considered as the distance from zero.

The generalization of absolute value of real number appears in various mathematical settings, such as complex number, quaternion, ordered ring, field and vector space to define absolute value. Absolute value is closely related to concepts such as size, distance and norm in various mathematical and physical environments.

Baidu encyclopedia-absolute value

Baidu Encyclopedia-Non-positive number