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Why do two numbers that are opposites have the same absolute value?
Wiki User
∙ 14y ago
Because "absolute value" only refers to how far a number is away from zero.
Thus -1 and 1 are both one away from zero. And -100 and 100 are both one hundred away from zero.
Wiki User
∙ 14y ago
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Is two integers that are opposites have the same absolute value?
Yes.
Do opposites have the same or different absolute values?
Additive opposites MUST have the same absolute values.
How is absoulute value different from positive and negative integers?
The absolute value is always non-negative. So, the absolute values of zero and positive integers are the same as the numbers. However, the absolute values of negative integers are their additive inverses or additive opposites (or positive equivalents).Thus, for example, abs(-3) = +3
Can you reverse the numbers inside an absolute value symbol?
The answer depends on the operation. The absolute value of 2/3 is not the same as the absolute value of 3/2! It does work for subtraction, though.
Is X is a rational number and Y is the opposite of X why do X and Y have the same absolute value?
X and Y have the same absolute value because the opposite of a number doesn't change its distance from zero. The absolute value of a number represents its distance from zero on the number line, and since X and Y are opposites, they have the same distance from zero.
What numbers have opposites that are the same as their absolute values?
All numbers have opposites that are the same as their absolute values.
Do opposites have the same absolute value?
yes
What happens when you add two opposites together?
The absolute value of the answer is the difference between the absolute values of the two numbers and the sign associated with it is the same as that of the number with the greater absolute value.
Two numbers with the same absolute value but different signs?
opposites, additive inverses
Is two integers that are opposites have the same absolute value?
Yes.
Do opposites have the same or different absolute values?
Additive opposites MUST have the same absolute values.
2 numbers that have the same absolute value but different signs?
It is impossible. The absolute value is always positive.
How is absoulute value different from positive and negative integers?
The absolute value is always non-negative. So, the absolute values of zero and positive integers are the same as the numbers. However, the absolute values of negative integers are their additive inverses or additive opposites (or positive equivalents).Thus, for example, abs(-3) = +3
What must be true about two numbers that have the same absolute value?
The absolute value of a number is its distance from zero (0) on a ... When addressed with this you must treat the absolute value brackets as you would ... Your last step once you have a single number inside the absolute value ... value, the distance is the same if you switch the order of the two numbers.
What is the sum of the different numbers that have the same absolute value?
If 2 numbers are different, but have the same absolute value, then one is the opposite of the other. Any number plus its opposite equals zero.
What pattern do you see in numbers that have the same absolute value?
If two numbers have the same absolute value, and the two numbers are not the same number, then the two numbers are negatives of each other. Or you could say that they have the same magnitude, but opposite signs. Example: |-5| = |5| = 5
Can you reverse the numbers inside an absolute value symbol?
The answer depends on the operation. The absolute value of 2/3 is not the same as the absolute value of 3/2! It does work for subtraction, though.
