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What is an counterexample of the set of negative integers is closed under the operation of taking the absolute value?
Wiki User
∙ 10y ago
-3 is a negative integer. The absolute value of -3 is +3 which is not a negative integer.
So the set is not closed.
Wiki User
∙ 10y ago
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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.
When adding 2 integers will the answer be positive?
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.
What do you get when you add a positive and negative number?
First, subtract the absolute values of the integers, then use the greater absolute value's sign.
Which number is a counterexample for the following conjectureConjecture: All integers are either positive or negative.?
A+ 0
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.
When adding 2 integers will the answer be positive?
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
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.
What do you get when you add a positive and negative number?
First, subtract the absolute values of the integers, then use the greater absolute value's sign.
Is the sum of two integers positive negative or zero?
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?
The product of two positive integers or two negative integers is positive.The product of a positive integer and a negative integer is negative.The quotient of two positive integers or two negative integers is positive.The quotient of a positive integer and a negative integer is negative.You multiply or divide integers just as you do whole numbers, except you must keep track of the signs. To multiply or divide signed integers, always multiply or divide the absolute values and use these rules to determine the sign of the answer.When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive.Positive x positive = positiveNegative x negative = positiveWhen you multiply two integers with different signs, the result is always negative. Just multiply the absolute values and make the answer negative.Positive x negative = negativeNegative x positive = negativeWhen you divide two integers with the same sign, the result is always positive. Just divide the absolute values and make the answer positive.Positive ÷ positive = positiveNegative ÷ negative = positiveWhen you divide two integers with different signs, the result is always negative. Just divide the absolute values and make the answer negative.Positive ÷ negative = negativeNegative ÷ positive = negativeExamples1.2.3.4. LOVE YOU :)
What is the operations of integers?
There is no "operation of integers".There are some operations that can be defined for single integers such as: additive inverse (= negative), multiplicative inverse (= reciprocal, not defined for 0), absolute value, square, cube, nth power, square root (if non-negative), cube root and so on.Then there are operations that can be defined for two integers, such as sum, difference, absolute difference, product, quotient (if the second integer is not 0), exponent, logarithm of one to the other as base (if they are both positive), and so on.
Can two integers can have the same absolute value?
Yes, a positive integer and its negative have the same absolute value. For example, +5 and -5 have the same absolute value.
