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When we add an integer to its additive inverse, the result is always zero. The additive inverse of an integer ( n ) is ( -n ), so ( n + (-n) = 0 ). This property holds true for all integers, demonstrating the fundamental concept of additive identity in mathematics.

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Related Questions

What is the meaning of subtract integers?

to subtract an integer, add its opposite or additive inverse.


What is the inverse for numbers under addition?

A number and its additive inverse add up to zero. If a number has no sign, add a "-" in front of it to get its additive inverse. The additive inverse of 5 is -5. The additive inverse of x is -x. If a number has a minus sign, take it away to get its additive inverse. The additive inverse of -10 is 10. The additive inverse of -y is y.


How can you use addition of integers to subtract integers?

Subtracting an integer is the same as adding the additive inverse. In symbols: a - b = a + (-b), where "-b" is the additive inverse (the opposite) of b.


What is the name for 2 given integers that combine to be zero?

Integers that add to zero (like 3 and -3 or 5 and -5) are called additive inverses. The general formula for an additive inverse is x + (-x) = 0, where x and (-x) are additive inverses.


WHAT integer has its own additive inverse?

Every integer has its own additive inverse, which is simply the integer multiplied by -1. For example, the additive inverse of 5 is -5, and the additive inverse of -3 is 3. Therefore, all integers, including zero, have their own additive inverses. In summary, any integer ( x ) has an additive inverse of ( -x ).


What do you call integers that add to zero?

Two numbers, which when added together result in zero, are called each other's additive inverse. That is, for two given numbers x and y, if x + y = 0, then y is the additive inverse of x and x is the additive inverse of y.


When you add an integer to its additive inverse you get?

Zero


What is the additive inverse of -34?

The additive inverse of -34 is the number you need to add to -34 to get 0 i.e. 34.


What is the additive inverse of 5 number?

To find the additive inverse of ANY number, add a minus sign. (If the number already has a minus sign, take the minus sign away to get the additive inverse.)


What is the characteristics of additive inverse?

The additive inverse of a number is its opposite value, such that when the two are added together, the result is zero. For any real number ( a ), its additive inverse is represented as ( -a ). This property holds true for all numbers, including integers, fractions, and decimals. Essentially, the additive inverse allows for the cancellation of values in mathematical operations.


What is additive and multiplicative inverse of 3 14?

The additive inverse of a number is what you would add to that number to get zero. For 3, the additive inverse is -3. The multiplicative inverse is what you would multiply by to get one; for 3, the multiplicative inverse is ( \frac{1}{3} ). Thus, the additive inverse of 3 is -3, and the multiplicative inverse is ( \frac{1}{3} ).


What is the additive inverse of -84?

The additive inverse of any negative number is the same number with the minus sign removed. In this instance, the additive inverse of -84 is 84.