Use algebra tiles to find the difference. Let one white tile equal +1and one black tile equal -1.6-(-9)
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To find the difference 6 - (-9), you can represent the numbers using algebra tiles. Let's assign one white tile as +1 and one black tile as -1.
For 6, we will use 6 white tiles (+1 each).
For (-9), we will use 9 black tiles (-1 each) since we have a negative sign in front of the 9.
Now we will subtract the tiles:
6 - (-9) can be represented as 6 white tiles minus 9 black tiles.
When we combine the tiles, we will end up having 6 white tiles and 9 black tiles.
Since 1 black tile represents -1, and we have 9 black tiles in total, the sum of these tiles is -9.
So, 6 - (-9) is equal to 6 + (-9), which simplifies to -3.
Therefore, the difference between 6 and (-9) is -3.
To use algebra tiles to find the difference between 6 and -9, we can represent 6 using six white tiles (+1 each) and -9 using nine black tiles (-1 each).
So, let's start by representing 6 as six white tiles:
++++++
Now, to find the difference between 6 and -9, we need to subtract nine black tiles:
++++++ - --------- = ?
The negative sign in front of -9 means that we are subtracting nine black tiles. When subtracting, we can imagine removing tiles from the positive side.
Since 1 white tile equals +1 and 1 black tile equals -1, we can pair a white tile with a black tile and they will cancel out each other.
Let's pair the tiles:
[++] [++] [++] [++] [++] [++] - --------- = ?
Now, we have 6 white tiles left.
[++] [++] [++] [++] [++] [++]
Therefore, the difference between 6 and -9 is 6.