a) 5 + -8 = -3
The first step is to subtract, 8-5 which is 3.
Then you take the sign of the number with the greater absolute value.
b) -4 + 10 = 6
The first step is to subtract 10-4 which is 6.
Then you take the sign of the number with the greatest absolute value.
c) 4 - 9 = -5
You keep, change, flip. That means, keep the first number the same. Change the sign to addition. Flip the sign of the second number. That means the equation has turned into 4+-9 so you subtract 9-4 which is 5 and you take the sign of the number with the greatest absolute value. Thats why its -5.
d) -8 - (-9) = 1
You do the same thing as we did in c. Keep, change, flip. Therefore the equation is -8 + 9, so you do 9 - 8 which is 1 and you take the sign from the number with the greater absolute value. Thats why its +9.
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