If the absolute value of a negative number is 2.78, what is the distance on the number line between the number and its absolute value? Explain your answer.
**I think it would be 2.78 because isn't the absolute value the distance from zero? So wouldn't it be the same?
I'm confused. Can someone please help.
The number is negative, so it is -2.78
Its absolute value is +2.78
So, the distance between the two is 5.56
They are equal distances from 0, but in opposite directions.
The answer is 5.56 because 2.78 plus 2.78 is is equal to 5.56
***I don`t know...I really need help
You're on the right track! The absolute value of a number is indeed the distance of that number from zero on the number line. In this case, the absolute value of a negative number is given as 2.78.
Since the absolute value is the distance from zero, the distance on the number line between the number (-x) and its absolute value (2.78) will be the same as the distance between the absolute value (2.78) and zero.
In other words, the distance between -x and 2.78 is 2.78 units, and the distance between 2.78 and zero is also 2.78 units. Therefore, the distance on the number line between the number and its absolute value is 2.78 units.