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.
It is zero and that is simply because that is how additive opposites are defined.
Yes.
Their total is zero.
Two integers that are opposites are -3 and 3. Opposite integers are numbers that are the same distance from zero on the number line but in opposite directions. In this case, -3 is three units to the left of zero, while 3 is three units to the right.
The sum of two integers that are opposites is always zero. This is because opposites are defined as two numbers that are equal in magnitude but have opposite signs, such as +a and -a. When you add them together, the positive and negative values cancel each other out, resulting in a total of zero. For example, 3 and -3 add up to 0.
It is zero and that is simply because that is how additive opposites are defined.
The answer depends on what is meant by "their opposites". If you mean additive opposites then the set is of all non-zero integers.
Their total is zero.
Yes.
Two integers that are opposites are -3 and 3. Opposite integers are numbers that are the same distance from zero on the number line but in opposite directions. In this case, -3 is three units to the left of zero, while 3 is three units to the right.
The two sets are the same: the set of integers.
Counting numbers are 1,2,3.... If you include 0 and the opposites .... -3,-2,-1, 0,1,2,3 .... this creates the integers. Integers do not include decimals or fractions.
The sum of two integers that are opposites is always zero. This is because opposites are defined as two numbers that are equal in magnitude but have opposite signs, such as +a and -a. When you add them together, the positive and negative values cancel each other out, resulting in a total of zero. For example, 3 and -3 add up to 0.
Integers are whole numbers without decimals or fractions.
Opposites
INTEGERS
The opposites of the integers that are 3 units away from a given integer ( x ) are ( x + 3 ) and ( x - 3 ). The opposites of these values would be ( -(x + 3) ) and ( -(x - 3) ), which simplify to ( -x - 3 ) and ( -x + 3 ). Thus, the opposites of the integers 3 units away from ( x ) are ( -x - 3 ) and ( -x + 3 ).