Subtracting integers means finding the difference between positive and negative whole numbers, including zero, by interpreting as adding the additive inverse of . A number line represents this as moving in the direction opposite to the subtracted number, clarifying why subtracting a negative increases a value and preventing the misconception that subtraction always makes a number smaller; this structure supports simplifying algebraic expressions.
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To subtract integers, rewrite subtraction as adding the opposite:
Then add the integers.
Start with the expression:
The opposite of is . Rewrite the subtraction:
Add:
Therefore,
On a number line, start at . Because you are subtracting , move in the opposite direction of negative, which is spaces to the right. You land on .
Subtracting a negative increases the value because it is the same as adding a positive.
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