## Subtracting Negative Numbers

You also need to be able to subtract negative numbers comfortably. If you consider negative numbers as **debts**, then you remove a debt when you subtract a negative number. Removing a debt of 4 dollars is like being given 4 dollars. This explains why the equation holds: subtracting negative four is the same as adding positive four.

The symbols also represent **the additive inverse OF (the additive inverse of )**. Our work with additive inverses can help you write this expression in a different and simpler way. After all, the additive inverse of is , and now the additive inverse of is, by definition, a number that results in zero when added to . Of course, the additive inverse of is itself. All of this tells us that . In the next section we will discuss multiplying and dividing negative numbers.

Watch this video for more examples on how to subtract negative numbers.

Source: Algebra2Go, https://www.youtube.com/watch?v=mA6CCfaXTDc&feature=share&list=PLb_xL_wMorHn4fbKWk62eBRerocOUevEe

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