explanations: 1. the opposite of -4 is 4. you can think of this two ways: the opposite of a negative is always absolute value, or the opposite of a negative is always positive. 2. above 3. -5 > -8 because the distance -5 is from 0 is 5, and the distance from -8 to 0 is 8. 8 > 5, so -8 is farther away than -5. 4. while -8 is less than -6, but absolute value would turn -8 into 8, which is greater than -6 5. explained by all above.