Number Line Placement
1. The problem asks us to place the given numbers from the box onto the number line at the positions marked with a "+".
2. First, let's convert all boxed numbers to decimal form to understand their relative sizes clearly:
- $-\frac{8}{4} = -2$
- $0.4 = 0.4$
- $1 \frac{2}{5} = 1 + \frac{2}{5} = 1 + 0.4 = 1.4$
- $1.8 = 1.8$
- $-2.2 = -2.2$
3. Analyzing the number line tick marks from left to right: $-3$, (unknown tick), $-1$, $0$, $1$, $2$.
4. The unknown tick is between $-3$ and $-1$. Since $-2.2$ and $-2$ are between $-3$ and $-1$, these fit into the unknown tick positions.
5. We have an arrow pointing to $-\frac{8}{4} = -2$ near the unknown tick labeled with a question mark, indicating the unknown tick corresponds to $-2$.
6. The other unknown tick before $-2$ must be $-2.2$, which is slightly less than $-2$, so it fits to the left of $-2$.
7. The positive ticks to the right of 0 are $0.4$, $1.4$, and $1.8$. We can assign them from left to right as 0.4 is between 0 and 1, 1.4 and 1.8 are between 1 and 2.
8. Therefore, the number line placements are:
- Leftmost unknown tick: $-2.2$
- Next unknown tick: $-2$
- Positive ticks: $0.4$, $1.4$, $1.8$ in ascending order after 0
Final answer: On the number line, tick marks correspond to $-2.2$, $-2$, $0.4$, $1.4$, and $1.8$ as described.