Problem Description:
The task is to navigate through a grid of decimal numbers from the
green square (starting point) to the
red square (ending point). The rules are:
1. You can only move to a larger number.
2. You cannot move diagonally; you can only move horizontally or vertically.
Grid Layout:
The grid is as follows, with the starting point marked in green and the ending point marked in red:
| 0.01 | 0.03 | 0.3 | 0.06 | 0.07 | 0.1 |
|------|------|-------|------|------|------|
| 0.011| 0.01 | 0.035 | 0.08 | 0.7 | 0.85 |
| 0.2 | 0.201| 0.02 | 0.12 | 0.66 | 0.4 |
| 0.19 | 0.22 | 0.25 | 0.299| 0.4 | 0.55 |
| 0.12 | 0.233| 0.22 | 0.15 | 0.3 | 0.37 |
| 0.11 | 0.31 | 0.355 | 0.555| 0.56 | 0.24 |
| 0.33 | 0.25 | 0.31 | 1.404| 1.044| 1.1 |
| 1.84 | 1.78 | 1.7 | 1.44 | 1.444| 0.99 |
| 1.33 | 1.89 | 1.69 | 1.399| 1.32 | 2.8 |
| 1.5 | 1.98 | 2.01 | 2.022| 2.22 |
3.01 |
Solution Approach:
To solve this problem, we need to find a path from the starting point (0.01) to the ending point (3.01) by moving only to larger numbers and adhering to the movement constraints (no diagonal moves).
#### Step-by-Step Pathfinding:
1.
Starting Point: 0.01 (Green Square)
2. Move right to 0.03 (larger than 0.01).
3. Move right to 0.3 (larger than 0.03).
4. Move down to 0.31 (larger than 0.3).
5. Move down to 0.355 (larger than 0.31).
6. Move down to 1.404 (larger than 0.355).
7. Move down to 1.7 (larger than 1.404).
8. Move down to 1.69 (larger than 1.7).
9. Move down to 1.98 (larger than 1.69).
10. Move right to 2.01 (larger than 1.98).
11. Move right to 2.022 (larger than 2.01).
12. Move right to 2.22 (larger than 2.022).
13. Move down to 3.01 (larger than 2.22).
Final Path:
The path from the green square to the red square is:
```
0.01 → 0.03 → 0.3 → 0.31 → 0.355 → 1.404 → 1.7 → 1.69 → 1.98 → 2.01 → 2.022 → 2.22 → 3.01
```
Verification:
- Each step involves moving to a larger number.
- No diagonal movements are made.
- The path starts at the green square and ends at the red square.
Final Answer:
\[
\boxed{0.01 \rightarrow 0.03 \rightarrow 0.3 \rightarrow 0.31 \rightarrow 0.355 \rightarrow 1.404 \rightarrow 1.7 \rightarrow 1.69 \rightarrow 1.98 \rightarrow 2.01 \rightarrow 2.022 \rightarrow 2.22 \rightarrow 3.01}
\]
Parent Tip: Review the logic above to help your child master the concept of ordering decimal numbers worksheet ks2.