The differences are: 5,−5, 5 and −5.
To find the differences between the given numbers, we can use various methods. The first two differences, 9 - 4 and 4 - 9, are straightforward subtraction operations. The result of 9 - 4 is 5, and the result of 4 - 9 is -5.
For the next two differences, 9 + (-4) and 9 - (-4), we can interpret these as adding a negative number and subtracting a negative number, respectively. Adding a negative number is the same as subtracting its absolute value, so 9 + (-4) is equivalent to 9 - 4, resulting in 5. On the other hand, subtracting a negative number is the same as adding its absolute value, so 9 - (-4) is equivalent to 9 + 4, resulting in -5.
Finally, for the differences (-4) - (-9) and (-9) - (-4), we can simplify these by combining like terms. (-4) - (-9) is equivalent to (-4) + 9, resulting in 5. Similarly, (-9) - (-4) is equivalent to (-9) + 4, resulting in -5.