Because "absolute value" only refers to how far a number is away from zero.
Thus -1 and 1 are both one away from zero. And -100 and 100 are both one hundred away from zero.
Yes.
No, an integer and its absolute value are not always opposites. The absolute value of an integer is always non-negative, while the integer itself can be negative, zero, or positive. For example, the integer -5 has an absolute value of 5, which are opposites, but the integer 0 has an absolute value of 0, making them the same. Thus, they are only opposites when the integer is negative.
Two numbers that are the same distance from zero on a number line are called "opposites." For example, +5 and -5 are opposites, as they are equidistant from zero but lie on opposite sides of it. They have the same absolute value but different signs.
Additive opposites MUST have the same absolute values.
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
All numbers have opposites that are the same as their absolute values.
The absolute value of the answer is the difference between the absolute values of the two numbers and the sign associated with it is the same as that of the number with the greater absolute value.
yes
Yes.
No, an integer and its absolute value are not always opposites. The absolute value of an integer is always non-negative, while the integer itself can be negative, zero, or positive. For example, the integer -5 has an absolute value of 5, which are opposites, but the integer 0 has an absolute value of 0, making them the same. Thus, they are only opposites when the integer is negative.
Two numbers that are the same distance from zero on a number line are called "opposites." For example, +5 and -5 are opposites, as they are equidistant from zero but lie on opposite sides of it. They have the same absolute value but different signs.
Additive opposites MUST have the same absolute values.
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
It is impossible. The absolute value is always positive.
opposites, additive inverses
The absolute value of a number is its distance from zero (0) on a ... When addressed with this you must treat the absolute value brackets as you would ... Your last step once you have a single number inside the absolute value ... value, the distance is the same if you switch the order of the two numbers.
No, positive numbers do not always have a higher absolute value than negative numbers. The absolute value of a number is its distance from zero on the number line, regardless of its sign. For example, the absolute value of -5 is 5, which is equal to the absolute value of +5. Therefore, a negative number can have the same absolute value as a positive number and vice versa, but positive numbers themselves cannot have a higher absolute value than the corresponding negative numbers.