Sure! Let's break down each subtraction problem using the concept of adding the additive inverse:
a) -2 - (-1):
To subtract -2 from -1, you can add the additive inverse of -1. The additive inverse of -1 is +1. So, -2 - (-1) becomes -2 + 1 = -1.
d) 12 - (+4):
When subtracting +4 from 12, you can rewrite it as 12 + (-4) since the additive inverse of +4 is -4. So, 12 - (+4) = 12 + (-4) = 8.
b) -5 - (+4):
To subtract +4 from -5, you can convert it to -5 + (-4) because the additive inverse of +4 is -4. Therefore, -5 - (+4) = -5 + (-4) = -9.
e) -9 - (-3):
When subtracting -3 from -9, you can rephrase it as -9 + 3 since the additive inverse of -3 is +3. Hence, -9 - (-3) = -9 + 3 = -6.
c) 8 - (-3):
To subtract -3 from 8, you can think of it as 8 + 3 because the additive inverse of -3 is +3. Thus, 8 - (-3) = 8 + 3 = 11.
f) -5 - (+11):
When you subtract +11 from -5, you can change it to -5 + (-11) as the additive inverse of +11 is -11. Therefore, -5 - (+11) = -5 + (-11) = -16.
Now, let's move on to the next part of the question about Terry sitting on a ledge 10 meters above sea level with fish swimming 30 meters below Terry:
The depth at which the fish are swimming can be found by adding Terry's height above sea level (10 meters) and the distance below sea level where the fish are swimming (30 meters). Therefore, the fish are swimming at a depth of 10 + 30 = 40 meters below sea level.
