explain the meaning betweeen |-3| and -3
|-3| is 3, since it is 3 spaces away from 0 on a number line. -3 is another case. It is a regular number, so it is just -3.
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The expression |-3| refers to the absolute value of -3, while -3 is a negative integer.
To understand the meaning between |-3| and -3, let's start with the absolute value. The absolute value of a number represents its distance from zero on a number line, ignoring the positive or negative sign. For example, the absolute value of 3, denoted as |3|, is 3 because 3 units away from zero.
In the case of -3, to find its absolute value, you remove the negative sign. Therefore, |-3| is 3, since -3 is 3 units away from zero on the number line.
On the other hand, -3 is a negative integer. It specifically represents a value that is less than zero. When you see -3, it indicates a negative three, meaning you move three units to the left of zero on the number line.
In summary, |-3| is 3 (the absolute value of -3), while -3 is a negative integer representing a value less than zero.