To work out the expression [tex]\( +(-4) + (-2) \)[/tex] using a number line, follow these steps:
1. Start at 0: Begin at the position 0 on the number line. This represents your initial number.
2. Move [tex]\( -4 \)[/tex] units: From the initial position 0, move 4 units to the left. Since you are adding [tex]\( -4 \)[/tex], you step left on the number line. Moving 4 units left from 0 lands you at [tex]\( -4 \)[/tex].
3. Move [tex]\( -2 \)[/tex] units: Next, from the position [tex]\( -4 \)[/tex], you need to move 2 more units to the left. Adding [tex]\( -2 \)[/tex] means stepping left again. Moving 2 units left from [tex]\( -4 \)[/tex] takes you to [tex]\( -6 \)[/tex].
So, by following these steps on a number line, we see that:
[tex]\[ 0 + (-4) \rightarrow -4 \][/tex]
[tex]\[ -4 + (-2) \rightarrow -6 \][/tex]
Thus, the result of [tex]\( +(-4) + (-2) \)[/tex] is [tex]\( -6 \)[/tex].
