The image contains math problems related to filling in numbers based on arithmetic operations within a grid. Let me interpret and solve it step by step.

The grid tasks appear to involve adding or subtracting a specific value (+40, -30, etc.) between adjacent cells. Here's how to analyze and solve it:

1. First Grid (Top Left):

   • The operation is +40.
   • Given numbers: $520$ and $250$.
   • Rule: Add 40 to each previous number to find the next.
     • $520 - 40 = 480$, $480 - 40 = 440$.
     • $250 + 40 = 290$, $290 + 40 = 330$.
     • Final grid: $520, 480, 440$; $250, 290, 330$.

2. Second Grid (Top Right):

   • The operation is -30.
   • Start with $670$ and $310$.
   • Rule: Subtract 30 each time.
     • $670 - 30 = 640$, $640 - 30 = 610$.
     • $310 + 30 = 340$, $340 + 30 = 370$.
     • Final grid: $670, 640, 610$; $310, 340, 370$.

3. Third Grid (Bottom Left):

   • The operation is +80.
   • Start with $120$ and $210$.
   • Rule: Add 80 each time.
     • $120 + 80 = 200$, $200 + 80 = 280$.
     • $210 + 80 = 290$, $290 + 80 = 370$.
     • Final grid: $120, 200, 280$; $210, 290, 370$.

4. Fourth Grid (Bottom Right):

   • The operation is -70.
   • Start with $980$ and $890$.
   • Rule: Subtract 70 each time.
     • $980 - 70 = 910$, $910 - 70 = 840$.
     • $890 - 70 = 820$, $820 - 70 = 750$.
     • Final grid: $980, 910, 840$; $890, 820, 750$.

Would you like detailed explanations or further clarifications for these solutions?

Expanding Questions:

1. How do arithmetic sequences apply in real-life scenarios?
2. What are common techniques to identify patterns in number grids?
3. Can we use these grids to solve algebraic equations?
4. How can visualization help in understanding arithmetic operations?
5. What are the benefits of practicing such math puzzles for mental arithmetic?

Tip: Always double-check your starting numbers and the operation signs to avoid simple mistakes when solving grids like these!