A positive and negative number with the same magnitude (value) will have their absolute values equal.
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!
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!) ;)
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.
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.
A positive and negative number with the same magnitude (value) will have their absolute values equal.
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.
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!
no all absolute values are positive
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!) ;)
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!) ;)
yes
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.
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.
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.
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.
Two integerss add to zero when their absolute values are equal and they have opposite signs.