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What do you call a negative and a positive number that is the same distance away from zero?
A pair of additive inverses. If the word "additive" is not used, there is no way of differentiating from multiplicative inverses: x and 1/x which multiply to 1.
What are to opposite integers called?
Additive Inverses is the proper term but the term zero pairs is also used.
What is the opposite of nine?
The number (-9) is the additive inverse of 9.Inverse operations can also be used to find the additive inverse of a specific number. For example, -9 is the additive inverse of 9 since the sum of -9 and 9 is 0. Additive inverses come in pairs; 9 is the additive inverse of -9, just as -9 is the additive inverse of 9. Any two numbers are additive inverses if they add up to 0.Visualize a pair of additive inverses on the number line. The number 9 and its additive inverse -9 are both nine units away from 0 but on opposite sides of 0. For this reason, -9 is called the opposite of 9, and 9 is the opposite of -9. The opposite of a number may be positive or negative.
What is the opposite integer of 1?
The answer depends on the context for opposite. Common opposites are the additive or multiplicative inverses but any invertible function can be used to define an opposite.
How is the additive inverse important?
It gives closure to the set of real numbers with regard to the binary operation of addition. This makes the set a ring. The additive inverse is used, sometimes implicitly, in subtraction.
