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What is the absolute value of an integer of its numerical value of its numerical value?
The absolute value of an integer is the integer with no sign. The absolute value of +3 and -3 is 3.
What is a negative integer greater than the absolute value of 3?
The absolute value of 3 is +3. No negative number can have a value greater than +3.
How do you use a number line to find the absolute value of each integer?
By definition, the absolute value is the distance from the "0" on a number line to an integer on the number line. Therefore, the absolute value of + 3, for example, is simply three and would be indicated by drawing a line from 0 to 3; and likewise the absolute value of -3 is 3, which would be indicated by drawing a line from 0 to -3.
Is 3 less than or equal to the absolute value 3?
equal
What is a negative integer plus a positive?
It could be either positive or negative, depending on which integer has a greater absolute value. 5 + (-3) = 2 5 + (-9) = -4
What is the absolute value of an integer of its numerical value of its numerical value?
The absolute value of an integer is the integer with no sign. The absolute value of +3 and -3 is 3.
How do you determine the absolute value of an integer?
If the number is 0 or positive, then its absolute value is itself. If the integer is negative, then its absolute value will be its negative (which will be positive).To illustrate the second case, Abs(-3) = -(-3) = +3.
When is the sum of a positive and negative integer equal to 0?
When the absolute values of the two integers is the same. The absolute value is the value of the number without considering its sign. So, for example, abs(-3) = abs(3) = 3
What is a negative integer greater than the absolute value of 3?
The absolute value of 3 is +3. No negative number can have a value greater than +3.
What is an counterexample of the set of negative integers is closed under the operation of taking the absolute value?
-3 is a negative integer. The absolute value of -3 is +3 which is not a negative integer. So the set is not closed.
How do you use a number line to find the absolute value of each integer?
By definition, the absolute value is the distance from the "0" on a number line to an integer on the number line. Therefore, the absolute value of + 3, for example, is simply three and would be indicated by drawing a line from 0 to 3; and likewise the absolute value of -3 is 3, which would be indicated by drawing a line from 0 to -3.
Is 3 less than or equal to the absolute value 3?
equal
What negative integer whose absolute value is greater than 3?
Any negative integer less than -3 meets the criteria of having an absolute value greater than 3. For example, -4, -5, and -6 are all valid answers. The absolute value of these integers (4, 5, and 6, respectively) is indeed greater than 3.
Can the sum of a negative and a positive integer be positive?
Yes, the sum of a negative and a positive integer can be positive, depending on their absolute values. If the positive integer has a greater absolute value than the negative integer, the result will be positive. For example, adding 5 (positive) and -3 (negative) results in 2, which is positive. However, if the negative integer has a greater absolute value, the sum will be negative.
A number that it the same distance from zero on the number line?
any integer and the negative of that integer... for example 3 and -3 are the same distance from 0
How often is the sum of a negative integer and positive integer zero?
The sum of a negative integer and a positive integer is zero only when the two integers have the same absolute value. For example, if you have -3 (negative integer) and +3 (positive integer), their sum is zero. However, in general, this situation occurs infrequently since it requires specific values. Most of the time, the sum will be a negative integer if the absolute value of the negative integer is greater than that of the positive integer, and a positive integer if the opposite is true.
Is the sum of one positive integer and one negative ever positive?
Yes, the sum of one positive integer and one negative integer can be positive if the positive integer is greater in absolute value than the negative integer. For example, if you add 5 (positive) and -3 (negative), the result is 2, which is positive. However, if the negative integer has a greater absolute value, the sum will be negative or zero.
