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What do you get when you add opposites?
Zero
What is the set of counting numbers and their opposites?
The answer depends on what is meant by "their opposites". If you mean additive opposites then the set is of all non-zero integers.
What are the set of numbers and their opposites?
A zero pair
What is the sum of two integers that are opposites justify the answer?
It is zero and that is simply because that is how additive opposites are defined.
What is the sum of two opposites combined in math?
Zero
What do you know about two different integers that are opposites?
Their total is zero.
What does it mean for two integers to be opposites?
Two integers are considered opposites if they are equal in absolute value but have different signs. For example, 5 and -5 are opposites because they are the same distance from zero on the number line, but one is positive and the other is negative. When added together, opposites always yield a sum of zero, illustrating their relationship.
Why is the sum of two opposites easy to calculate?
Because by definition, there sum will always be zero. Because the definition of opposites are additive inverses.
Two numbers that are an equal distance from zero on a number line?
opposites
The set of numbers that includes the natural numbers their opposites and zero?
These are the integers.
What property says that when you add opposites you get zero?
additive inverse property
What are two numbers that are the same distance from zero on a number line called?
Two numbers that are the same distance from zero on a number line are called "opposites." For example, +5 and -5 are opposites, as they are equidistant from zero but lie on opposite sides of it. They have the same absolute value but different signs.
