0
The absolute value of a number is how many spaces the number is away from 0. So if the number was 32, the absolute value would be 32. And if the number was -54, then the absolute value would be 54.
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The definition of "absolute value" for a number x (written as |x| ) is:
|x| = x for x >0
|x| = 0 for x=0
|x| = -x for x<0
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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 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
Can two integers 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.
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.
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 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
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.
Can two integers 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.
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.
What is the absolute value of -4?
0
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.
When comparing two integers the integer with the greater absolute value is always the greater integer?
No.A positive integer is always larger than a negative integer. In the case of two negative integers, the integer with the larger absolute value is actually smaller.
How can you predict the sign of the sum of a positive and a negative integer before you add the numbers?
If the absolute value of the positive integer is greater than the absolute value of the negative integer, then the sum of the two will be positive.If the absolute value of the positive integer is less than the absolute value of the negative integer, then the sum will be negative.If the absolute values of the two integers are the same then the sum will be zero, which has neither a negative nor a positive sign.
Write an integer whose absolute value is greater than itself?
Negative numbers are integers as well. The absolute value of any negative integer will be positive and therefore larger than itself.
