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What is the sum of the additive identity and the multiplicative inverse of 2?
-3/2
What is an equation that demonstrates the additive inverse property?
3 + (-3) = 0
What does opposite or additive inverse mean?
The "additive inverse" is essentially the negative value. It changes the number in the opposite direction on a number line. If you add a number to a value, and then add its inverse, you will have the same original value.Example: 2 + 3 = 5 , then 5 + (-3) = 2---The "multiplicative inverse" is the reciprocal of a number (i.e. for x, it is 1/x )Dividing by a number (especially a fraction) can be done by multiplying its inverse.Examples:The division 6 divided by 2 = 3 is the same as 6 times its inverse (1/2), also 3.The division 9 divided by 3/4 is the same as 9 x 4/3 = 36/3 = 12
Is the sum of two rational numbers sometimes 0?
Yes. For example: * 0 + 0 = 0 * 1/1 + (-1/1) = 0 * 1/2 + 1/3 is not equal to zero. If the second rational number is the additive inverse of the first, then yes the sum of two rational numbers can be zero. The additive inverse is that number when added to another number gives the result 0, and is denoted as the negative of the first number; the additive inverse of the number a is denoted by -(a) and is such that a + -(a) = 0. eg the additive inverse of 1/2 is -(1/2) giving 1/2 + -(1/2) = 0.
What are some non-examples of additive inverse?
Non-examples of additive inverses include pairs of numbers that do not sum to zero. For instance, (2, 3) and (-1, 4) are non-examples because their sums are 5 and 3, respectively. Additionally, any number paired with itself, such as (5, 5), is not an additive inverse since their sum is 10, not zero.
