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-3 is a negative integer. The absolute value of -3 is +3 which is not a negative integer.

So the set is not closed.

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Which number is a counterexample for the following conjectureConjecture: All integers are either positive or negative.?

A+ 0


What operation is used whenadding integers with thesame signs?

When adding integers with the same signs, you perform addition and keep the common sign. For example, if you are adding two positive integers, you add their absolute values and the result remains positive. Similarly, if you are adding two negative integers, you add their absolute values and the result will be negative.


What is the connection between absolute value and integers?

None. Integers can be negative, absolute values cannot. Absiolute values can be rational or irrational fractions, integers cannot.


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 is the rule in dividing integers?

The rule in dividing integers is to divide the absolute values. Two positive integers or two negative integers equals positive product. If one integer is positive and the other is negative, the product is negative.


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When adding two integers, the answer will be positive if both integers are positive, or if one is negative but its absolute value is smaller than the absolute value of the positive integer.


Is the set of all negative integers closed for operation of addition?

yes


What do you do when subtracting absolute value integers?

When subtracting absolute value integers, first calculate the absolute values of the integers involved. Then, perform the subtraction using the absolute values. Remember that the result will always be a non-negative integer, as absolute values are always positive or zero. If necessary, apply the appropriate sign based on the original integers' values after the subtraction.


When is the sum of a positive integer and a negative integers?

When the absolute value of the negative number is higher than the positive number.


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The sum of two positive integers is positive. The sum of two negative integers is negative. The sum of one positive integer and one negative integer has the same sign as the addend with the greater absolute value. If the absolute values of the two addends are equal, the sum is zero.


How do the rules for multiplying integers compare to the rules for dividing integers?

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