The difference between two numbers is less than 0. Could both numbers be negative? Can both be positive? One negative and one positive? Explain.

Yes, the difference between two numbers can be less than 0 under different circumstances.

1. Both numbers are negative: If both numbers are negative, and the number with the smaller absolute value is subtracted from the one with the greater absolute value, the difference will be negative. For example, if we have -3 and -6, the difference (-3) - (-6) is equal to 3, which is positive. But if we switch them, (-6) - (-3), the difference is -3, which is less than 0.

2. Both numbers are positive: Similar to the negative case, if both numbers are positive and the smaller number is subtracted from the larger number, the difference will be positive. However, if the larger number is subtracted from the smaller one, the difference will be negative, which is less than 0. For instance, 4 - 7 equals -3.

3. One negative and one positive: When one number is negative and the other is positive, subtracting the positive number from the negative number will always result in a difference less than 0. Conversely, subtracting the negative number from the positive number will result in a positive difference. So, if we have -5 and 2, then (-5) - 2 equals -7, which is less than 0.