## negation

### In mathematics, the term “negation” refers to the operation or process of changing the sign of a number

In mathematics, the term “negation” refers to the operation or process of changing the sign of a number. It involves flipping the positive or negative sign of a number to its opposite.

More precisely, given a number or mathematical statement, the negation is performed by reversing the sign. For example:

1. For positive numbers: Negating a positive number involves changing the sign to negative. For instance, the negation of +5 is -5.

2. For negative numbers: Negating a negative number involves changing the sign to positive. For instance, the negation of -7 is +7.

3. For zero: The negation of zero is still zero. So, negating zero does not change its value.

Negation is an important operation in mathematics as it allows us to determine the opposite of a given value or statement. It is commonly used in various mathematical concepts, such as algebra, arithmetic, logic, and geometry.

Negation is typically represented using a minus sign (-), which is placed before the number or variable. For example, the negation of x is -x or the negation of -3 is -(-3) which simplifies to +3.

It is worth noting that the double negation of a number or statement will result in the original value. For instance, if you negate a number twice, you will end up with the original number. Similarly, if you negate a true statement twice, it remains true.

Overall, negation helps in expressing the opposite value or idea in mathematics and plays a crucial role in many problem-solving situations.

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