As the value of negative numbers decrease, what happens to the absolute value of these numbers?
The absolute value of negative numbers increases as the value of the numbers decrease.
To determine what happens to the absolute value of negative numbers as their value decreases, we should first understand what absolute value means.
The absolute value of a number is always non-negative. It tells us how far a number is from zero on the number line, regardless of whether the number is positive or negative. If the number is already positive, then its absolute value is equal to the number itself. If the number is negative, then its absolute value is equal to the number with the negative sign removed.
So, when we consider negative numbers, as their value decreases, they move further away from zero on the number line. However, the absolute value of these numbers does not change. It remains the same since the absolute value only depends on the distance from zero, and not on the sign of the number.
For example, let's take the negative number -5. The absolute value of -5 is 5. As the value of -5 decreases, such as -4, -3, -2, and so on, the absolute value remains 5.
In conclusion, as the value of negative numbers decreases, the absolute value of these numbers stays the same.