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When we move to the right on a number line, we represent the addition a positive number. Conversely, movement to the left corresponds to adding a negative number.
Addition expression: - 3+3
Subtraction expression: - 3-(- 3)
Sum/Difference: 0
Let's look at the number line!
We want to write two expressions, an addition expression and a subtraction expression, represented by the number line.
| Addition | Subtraction | |
|---|---|---|
| Expression | ?+? | ?-? |
| Result | ? | ? |
Notice that the arrow starts at 0 and ends at - 3. Therefore, the arrow represents - 3. This means that the first addend in our addition expression and the subtrahend in our subtraction expression are equal to - 3.
| Addition | Subtraction | |
|---|---|---|
| Expression | - 3+? | - 3-? |
| Result | ? | ? |
Next, we can look at the top arrow on the diagram.
Notice that the arrow is 3 unit to the left of - 3. This means that the arrow represents adding 3, or subtracting - 3. Let's complete our expressions!
| Addition | Subtraction | |
|---|---|---|
| Expression | - 3+3 | - 3-( - 3) |
| Result | ? | ? |
Finally, we can evaluate our expressions. Let's start by performing the addition! - 3+3= 0 The sum of - 3 and 3 is equal to 0. We know that subtract an integer, we add its opposite. This means that the difference of - 3 and - 3 is also equal to 0. We can use this information to complete our table.
| Addition | Subtraction | |
|---|---|---|
| Expression | - 3+3 | - 3-( - 3) |
| Result | 0 | 0 |