1. Is the absolute value of a number equal to the inverse of that number? On the other hand, is the absolute value of a number the antonym of that number? Not necessarily. Absolute value and reciprocal are two different concepts. The absolute value is non-negative, and the opposite number can be negative. The absolute value of 1 is 1, and the reciprocal of 1 is-1. The absolute value of-1 is 1, and the reciprocal of-1 is 1.2. Is the comparison of two numbers (integers greater than 0) the same as the comparison of negative absolute values? How to compare two absolute values (integers) (two numbers are greater than or equal to 0)? No, the absolute value of a positive number greater than 0 is greater than that with a larger value. The absolute value of negative numbers is greater than that of small numbers. Compare two absolute values to become absolute values, and then see which one is bigger. If both numbers are equal to 0, then of course they are equal. No, if both numbers are greater than 0, it depends on their respective values. 3. When comparing -4/5 and -5/6, the book says: |-4/5|=4/5, |-5/6|=5/6. Does this simplification mean that the absolute value of 4/5 is |-4/5| and the absolute value of 5/6 is |-5/6|? Why? Is the absolute value on the left and the original number on the right of the equal sign? Shouldn't it be |4/5|=-4/5, |5/6|=-5/6? (The absolute value on the left and the original number on the right) Eh ~ ~ You are so cute! "The absolute value of 4/5 is |-4/5|" Although this can't be wrong, it is generally not said, because the absolute value of a positive number is itself. "Is there an absolute value on the left and an original number on the right of the equal sign?" It's just that there is an absolute value symbol on the left, which is for you to calculate. If it is |4/5|=-4/5, the same is true.