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Why does a negative integer raised to an even power always result in a negative integer?
A negative integer raised to an even power results in a positive integer, not a negative integer. This occurs because multiplying a negative number by itself an even number of times cancels out the negative signs. For example, ((-2)^2 = 4) and ((-3)^4 = 81), both of which are positive. Therefore, the statement is incorrect; a negative integer raised to an even power is always positive.
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When you subtract a positive integer from a negative integer the result is always positive?
Yes because you are always adding.
Why does subtracting a postive and negative inter always result in a negative integer?
It doesn't always. 3 - (-3) = 6
Is the set of negative integers is closed under addition?
No, the set of negative integers is not closed under addition. When you add two negative integers, the result is always a negative integer. However, if you add a negative integer and a positive integer, the result can be a positive integer, which is not in the set of negative integers. Thus, the set does not satisfy the closure property for addition.
When you subtract a negative integer from a positive integer the result is always positive?
Yes, because subtrating a negative number is the same thing as adding a positive number.
How do you get a negative integer with a positive integer and a negative integer?
As long as the negative integer is greater than the positive integer, a negative integer will result from addition, subtraction, multiplication, and division.
Why does a negative integer raised to an even power always result in a positive integer?
The multiplication rule of thumb always states that a negative number times a negative number results in a positive number. Since an even number is always divisible by two, any value raised to an even integer power will result in a positive number. However, a basic proof is presented as follows: (-A) * (-A) = A^2 ((-A) * (-A)) ^ 2 = ((-A * -A) * (-A * -A)) = A^2 * A^2 = A ^ 4 ...
When you subtract a positive integer from a negative integer the result is always positive?
Yes because you are always adding.
Why does subtracting a postive and negative inter always result in a negative integer?
It doesn't always. 3 - (-3) = 6
Is the set of negative integers is closed under addition?
No, the set of negative integers is not closed under addition. When you add two negative integers, the result is always a negative integer. However, if you add a negative integer and a positive integer, the result can be a positive integer, which is not in the set of negative integers. Thus, the set does not satisfy the closure property for addition.
True or False when you subtract a negative integer from another negative integer the result is always negative Explain.?
False. Counterexample: -1 - (-2) = -1 + 2 = 1.
When you subtract a negative integer from a positive integer the result is always positive?
Yes, because subtrating a negative number is the same thing as adding a positive number.
How do you get a negative integer with a positive integer and a negative integer?
As long as the negative integer is greater than the positive integer, a negative integer will result from addition, subtraction, multiplication, and division.
When a negative integer is divided by a positive integer which sign will the resulting quotient take?
When a negative integer is divided by a positive integer, the resulting quotient will always be negative. This is because the division of a negative number by a positive number follows the rule that a negative divided by a positive yields a negative result. For example, dividing -10 by 2 results in -5.
What is the rule for multiplying different sign integers?
When multiplying integers with different signs, the rule is that the product will always be negative. For example, multiplying a positive integer by a negative integer results in a negative product. Conversely, multiplying a negative integer by a positive integer also yields a negative result. In summary, if the signs of the integers differ, the product is negative.
Does a positive integer multiplied by a negative integer equal a negative integer?
All negative integers, when multiplied by a positive integer, or vice versa, will result in a negative integer. I. E. 5*-5=-25
When a negative integer is multiplied by another negative integer which sign will the resulting product take?
When a negative integer is multiplied by another negative integer, the resulting product will be positive. This is because the multiplication of two numbers with the same sign always yields a positive result. For example, multiplying -3 by -2 gives +6.
When do two negative integers are added you get a positive integer?
When two negative integers are added, the result is always a negative integer. This is because adding two negative numbers means you are combining their absolute values and keeping the negative sign. Therefore, it is impossible to obtain a positive integer from the sum of two negative integers.
