Adding Integers
- You can use tiles to add integers.
\[
(-7)+(+2)=-5
\]
- You can use a number line to add integers.
Subtracting Integers
- You can use tiles to subtract integers: $(+3)-(-7)$
We need enough red tiles to take away 7 of them.
Model $+3:$
Since there are not enough tiles to take away -7 , add 7 yellow tiles and 7 red tiles. Now take away 7 red tiles. There are 10 yellow tiles left.
\[
(+3)-(-7)=+10
\]
- You can also subtract by adding the opposite:
\[
\begin{aligned}
(-5)-(-8) & =(-5)+(+8) \\
& =+3
\end{aligned}
\]
- You can use a number line to subtract integers.
\boxed{-5, 10, 3}
Step 1 :\(-7 + 2 = -5\)
Step 2 :\(3 - (-7) = 3 + 7 = 10\)
Step 3 :\(-5 - (-8) = -5 + 8 = 3\)
Step 4 :\boxed{-5, 10, 3}