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What numbers have equal absolute values?

A positive and negative number with the same magnitude (value) will have their absolute values equal.


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!


When is the absolute value of a difference equal to the difference of the absolute values?

They will be equal if a is bigger than b if positive, and b is bigger than a if negative. Or if a is equal to b.I might not have gotten that completely correct, but I did my best. I hope it makes sense to you was helpful. Please do not just copy it down, but put it into your own words. Thanks! (And you're welcome!) ;)


Can you use the distributive property in absolute values?

Yes, you can apply the distributive property in expressions involving absolute values, but it's important to consider the properties of absolute values. The distributive property states that ( a(b + c) = ab + ac ), and this can be used with absolute values, such as ( |a(b + c)| = |ab + ac| ). However, the absolute value of a sum is not necessarily equal to the sum of the absolute values, meaning ( |a + b| \neq |a| + |b| ) in general. Thus, careful attention is needed when manipulating expressions involving absolute values.


How can you tell if adding two rational numbers with different is a positive negative or zero?

Consider the absolute values (the numerical values ignoring the signs) of the two numbers. If these are equal then the sum is equal; otherwise the sum takes the sign of which ever number has the larger absolute value.

Related Questions

What numbers have equal absolute values?

A positive and negative number with the same magnitude (value) will have their absolute values equal.


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.


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!


Can the absolute value of a number equal a negative number?

no all absolute values are positive


When is the absolute value of a difference equal to the difference of the absolute values?

They will be equal if a is bigger than b if positive, and b is bigger than a if negative. Or if a is equal to b.I might not have gotten that completely correct, but I did my best. I hope it makes sense to you was helpful. Please do not just copy it down, but put it into your own words. Thanks! (And you're welcome!) ;)


When the absolute value of a difference equal to the difference of the absolute values?

They will be equal if a is bigger than b if positive, and b is bigger than a if negative. Or if a is equal to b.I might not have gotten that completely correct, but I did my best. I hope it makes sense to you was helpful. Please do not just copy it down, but put it into your own words. Thanks! (And you're welcome!) ;)


Are the absolute values of a complex number and its conjugate always equal?

yes


Can you use the distributive property in absolute values?

Yes, you can apply the distributive property in expressions involving absolute values, but it's important to consider the properties of absolute values. The distributive property states that ( a(b + c) = ab + ac ), and this can be used with absolute values, such as ( |a(b + c)| = |ab + ac| ). However, the absolute value of a sum is not necessarily equal to the sum of the absolute values, meaning ( |a + b| \neq |a| + |b| ) in general. Thus, careful attention is needed when manipulating expressions involving absolute values.


How can you tell if adding two rational numbers with different is a positive negative or zero?

Consider the absolute values (the numerical values ignoring the signs) of the two numbers. If these are equal then the sum is equal; otherwise the sum takes the sign of which ever number has the larger absolute value.


How are the absulete values of opposite integers related?

The absolute values of opposite integers are always equal. For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5. This relationship holds true for any pair of opposite integers, as absolute value measures the distance from zero on the number line, disregarding direction. Thus, regardless of their signs, the absolute values remain the same.


What is the reason for percent error?

Percent error is used when you are comparing your result to a known or accepted value. It is the absolute value of the difference of the values divided by the accepted value, and written as a percentage. Percent error is equal to the difference divided by the known times 100 percent.


When two integers add to zero?

Two integerss add to zero when their absolute values are equal and they have opposite signs.