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All numbers have opposites that are the same as their absolute values.
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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
The difference of a negative integer and a positive integer is?
An integer that is equal in magnitude to the sum of their absolute values. Its sign is the same as which of the two numbers you are taking the difference from. For example, for the integers 5 and -7. Their absolute values are 5 and 7 so that the sum of the absolute values is 5+7 = 12. Then 5 - (-7) = +12 and -7 - 5 = -12.
What is the set of whole number and their opposites?
The set of whole numbers includes all their additive opposites. So the set is the same as the one you started with.
What is the set of whole numbers and their opposites called?
Assuming that you mean opposites (rather than oppisites), the answer will depend on what kind of opposites: additive opposites or multiplicative opposites.In the first case you have the same set as you started with: whole numbers.In the second, you will have the set that consists of the union ofall whole numbers,all unit fractions between -1 and +1. But, you have a problem with zero: its multiplicative opposite is not defined.
Do opposites have the same or different absolute values?
Additive opposites MUST have the same absolute values.
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.
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 numbers have equal absolute values?
A positive and negative number with the same magnitude (value) will have their absolute values equal.
Two numbers with the same absolute value but different signs?
opposites, additive inverses
Do opposites have the same absolute value?
yes
Is the sum of an absolute value is the same of their absolute values?
The sum of the absolute values of two numbers is greater or equal than the absolute values of the sum. It will be equal if both are positive or both are negative; greater if one is positive and one is negative. Try it out with some sample numbers!
What is the rule for adding integers and rational numbers with the same sign?
The value of the answer is the sum of the absolute values of the numbers and the sign of the answer is the same as that of the two numbers.
Is two integers that are opposites have the same absolute value?
Yes.
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.
How can one number be less than another and the absolute values of the number be the same?
If "one number" is negative and "another" is positive and the absolute values are the same, then "one number" will be less (because it is negative) than "another" (because it is positive). All negative numbers are less than any positive numbers.
How do you add negative numbers to positive numbers?
To add a negative number and a positive number: -- Find the difference of their absolute values (their sizes, ignoring their signs). -- Give it the same sign as whichever of the original two numbers had the larger absolute value.
