Answer :
-14 is numerically less than -8 but greater in absolute value; absolute value measures distance from zero on the number line.
Certainly! When comparing -14 and -8, two perspectives arise: their numerical values and their absolute values.
Firstly, in terms of numerical value, -14 is indeed less than -8. This is because when you move to the left on the number line, the values decrease. Thus, -14, which is further to the left than -8, is numerically smaller.
However, when considering absolute values, -14 is greater than -8. Absolute value refers to the distance of a number from zero on the number line, regardless of its direction. The absolute value of -14 is 14, while the absolute value of -8 is 8. Since 14 is greater than 8, -14 is greater than -8 in terms of absolute value.
In summary, both statements can be true depending on the context: -14 is indeed less than -8 numerically, but it is greater than -8 in terms of absolute value because it is farther from zero on the number line.
